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BEGIN:VEVENT
SUMMARY:Amanda Turner (Lancaster)
DTSTART;VALUE=DATE-TIME:20200416T130000Z
DTEND;VALUE=DATE-TIME:20200416T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/1
DESCRIPTION:Title: Scaling limits for planar aggregation with subcritical
fluctuations\nby Amanda Turner (Lancaster) as part of One World Probabilit
y seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Remco van der Hofstadt (Eindhoven)
DTSTART;VALUE=DATE-TIME:20200416T140000Z
DTEND;VALUE=DATE-TIME:20200416T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/2
DESCRIPTION:Title: Information diffusion on random graphs\nby Remco van de
r Hofstadt (Eindhoven) as part of One World Probability seminar\n\nAbstrac
t: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mathias Beiglböck (Vienna)
DTSTART;VALUE=DATE-TIME:20200423T130000Z
DTEND;VALUE=DATE-TIME:20200423T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/3
DESCRIPTION:Title: All adapted topologies are equal\nby Mathias Beiglböck
(Vienna) as part of One World Probability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michela Ottobre (Edinburgh)
DTSTART;VALUE=DATE-TIME:20200423T140000Z
DTEND;VALUE=DATE-TIME:20200423T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/4
DESCRIPTION:Title: Fast non mean-field network: uniform in time averaging\
nby Michela Ottobre (Edinburgh) as part of One World Probability seminar\n
\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hubert Lacoin (Rio de Janairo)
DTSTART;VALUE=DATE-TIME:20200430T130000Z
DTEND;VALUE=DATE-TIME:20200430T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/5
DESCRIPTION:Title: The scaling limit for directed polymers in an alpha-sta
ble environment\nby Hubert Lacoin (Rio de Janairo) as part of One World Pr
obability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeremy Quastel (Toronto)
DTSTART;VALUE=DATE-TIME:20200430T140000Z
DTEND;VALUE=DATE-TIME:20200430T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/6
DESCRIPTION:Title: Integrable fluctuations in 1+1 dimensional random growt
h\nby Jeremy Quastel (Toronto) as part of One World Probability seminar\n\
nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nina Gantert (Munich)
DTSTART;VALUE=DATE-TIME:20200507T130000Z
DTEND;VALUE=DATE-TIME:20200507T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/7
DESCRIPTION:Title: Mixing times for the simple exclusion process with open
boundaries\nby Nina Gantert (Munich) as part of One World Probability sem
inar\n\n\nAbstract\nWe study mixing times of the symmetric and asymmetric
simple exclusion process on the segment where particles are allowed to ent
er and exit at the endpoints. We consider different regimes depending on t
he entering and exiting rates as well as on the rates in the bulk\, and sh
ow that the process exhibits pre-cutoff and in some special cases even cut
off. No prior knowledge is assumed. Based on joint work with Evita Nestori
di (Princeton) and Dominik Schmid (Munich).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Mytnik (Haifa)
DTSTART;VALUE=DATE-TIME:20200507T140000Z
DTEND;VALUE=DATE-TIME:20200507T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/8
DESCRIPTION:Title: On the speed of a front for stochastic reaction-diusion
equations\nby Leonid Mytnik (Haifa) as part of One World Probability semi
nar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louigi Addario-Berry (Montreal)
DTSTART;VALUE=DATE-TIME:20200514T130000Z
DTEND;VALUE=DATE-TIME:20200514T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/9
DESCRIPTION:Title: Critical first-passage percolation. Part 1: background
and behaviour on regular trees\nby Louigi Addario-Berry (Montreal) as part
of One World Probability seminar\n\n\nAbstract\nFor many lattice models i
n probability\, the high-dimensional behaviour is well-predicted by the be
haviour of a corresponding random model defined on a regular tree. Rigorou
s results of this kind have been proved for self-avoiding walk\, Bernoulli
percolation\, and the Ising model. One model where no such results are kn
own is first-passage percolation\, where there is a rather comprehensive u
nderstanding for trees\, but relatively little is known in the lattice set
ting.\n\nBy critical first passage percolation we mean first-passage perco
lation where the edge weight distribution mu satisfies $\\mu({0}) = p_c$.
This creates long paths with passage time zero\, which causes passage time
s to grow sublinearly. \n\nIt turns out that for critical first-passage pe
rcolation\, it is possible to prove that high-dimensional lattice models h
ave the same first passage time asymptotics as tree models. More precisely
\, for a wide range of critical edge weight distributions $\\mu$\, there i
s an explicit constant $C=C(\\mu)$ such that the following holds almost su
rely. \n\n* If $d>= 8$ then $\\tau_n/(\\log \\log n) \\to C$.\n\n* If $d=7
$ then $\\tau_n/(\\log \\log n) --> 3C/2$. \n\nIn both cases\, logs are ba
se-two. The constant $C(\\mu)$ is the edge weight distribution's gap: $C(m
u) = \\inf( x > 0: \\mu((0\,x]) > 0)$. \n\nThis doubly logarithmic growth
is different from the low-dimensional picture\; when d=2\, the passage tim
es in critical first-passage percolation instead satisfy $\\tau_n/\\log n
\\to C/(2\\sqrt{3}*\\pi)$. Here the first-passage times grow singly logari
thmically\; the constant $C(\\mu)$ is again the gap. \n\nThe first lecture
\, delivered by Louigi Addario-Berry\, will provide more introductory mate
rial related to the above story\, covering the following topics:\n1) Criti
cal percolation: behaviour of cluster sizes and diameters in high dimensio
ns (and on trees).\n2) First-passage percolation: a brief overview of know
n results. \n3) Asymptotics for non-critical and critical first-passage pe
rcolation on trees.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Hanson (New York)
DTSTART;VALUE=DATE-TIME:20200514T140000Z
DTEND;VALUE=DATE-TIME:20200514T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/10
DESCRIPTION:Title: Critical first-passage percolation. Part 2: limit theor
ems for lattice first-passage times\nby Jack Hanson (New York) as part of
One World Probability seminar\n\n\nAbstract\nThe second lecture\, delivere
d by Jack Hanson\, will present the aforementioned results about critical
first-passage percolation on the lattice. The behavior of critical FPP on
trees accurately predicts the rate of growth for d >= 8\, and the story fr
om the tree setting provides a reasonable heuristic for the rate of growth
in these settings. Unlike on trees\, there is no exact renewal structure
for the growth process on the lattice\, and one must ensure that the growi
ng region is sufficiently spatially „spread out“ to regain some indepe
ndence. In the case d=7\, there is in a sense less independence\, and the
growth process slows down. Our techniques also allow us to bound the proba
bilities of so-called „defected arm events“\, which can be thought of
as the probability of an extreme lower-tail event for the critical first-p
assage time.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nina Holden (Zürich)
DTSTART;VALUE=DATE-TIME:20200409T130000Z
DTEND;VALUE=DATE-TIME:20200409T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/11
DESCRIPTION:Title: Cardy embedding of random planar maps\nby Nina Holden (
Zürich) as part of One World Probability seminar\n\n\nAbstract\n-\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-Christophe Mourrat (New York)
DTSTART;VALUE=DATE-TIME:20200409T140000Z
DTEND;VALUE=DATE-TIME:20200409T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/12
DESCRIPTION:Title: Mean-field disordered systems and Hamilton-Jacobi equat
ions\nby Jean-Christophe Mourrat (New York) as part of One World Probabili
ty seminar\n\n\nAbstract\n-\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sara van der Geer (Zürich)
DTSTART;VALUE=DATE-TIME:20200521T130000Z
DTEND;VALUE=DATE-TIME:20200521T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/13
DESCRIPTION:Title: Learning with total variation regularization\nby Sara v
an der Geer (Zürich) as part of One World Probability seminar\n\n\nAbstra
ct\nConsider the classical problem of learning a signal when observed with
noise. One way to do this is to expand the signal in terms of basis funct
ions and then try to learn the coefficients. The collection of basis funct
ions is called a dictionary and the approach is sometimes called "synthesi
s" because the signal is synthesised from the coefficients. Another learni
ng approach\, called "analysis"\, is based on an l_1 regularization of a l
inear operator that describes the signal's structure. As an example one ma
y think of a signal that lives on a graph\, and the linear operator descri
bes the change when going from one node to the next in the graph. The sum
of the absolute values of the changes is called the total variation of the
signal over the graph. A simple special case is the path graph\, and a m
ore complicated one is the two-dimensional grid. We will consider the regu
larized least squares estimator for such examples and also regularization
using total variation of higher order discrete derivatives and Hardy Kraus
e total variation. We will introduce the concept „effective sparsity“
which is related to the dimensionality of the unknown signal. The regular
ized least squares estimator will be shown to mimic an oracle that trades
off approximation error and „estimation error“\, where the latter depe
nds on the effective sparsity.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jason Schweinsberg (San Diego)
DTSTART;VALUE=DATE-TIME:20200521T140000Z
DTEND;VALUE=DATE-TIME:20200521T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/14
DESCRIPTION:Title: A Gaussian particle distribution for branching Brownian
motion with an inhomogeneous branching rate\nby Jason Schweinsberg (San D
iego) as part of One World Probability seminar\n\n\nAbstract\nMotivated by
the goal of understanding the evolution of populations undergoing selecti
on\, we consider branching Brownian motion in which particles independentl
y move according to one-dimensional Brownian motion with drift\, each part
icle may either split into two or die\, and the difference between the bir
th and death rates is a linear function of the position of the particle.
We show that\, under certain assumptions\, after a sufficiently long time\
, the empirical distribution of the positions of the particles is approxim
ately Gaussian. This provides mathematically rigorous justification for r
esults in the Biology literature indicating that the distribution of the f
itness levels of individuals in a population over time evolves like a Gaus
sian traveling wave. This is joint work with Matt Roberts.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis-Pierre Arguin (New York)
DTSTART;VALUE=DATE-TIME:20200528T130000Z
DTEND;VALUE=DATE-TIME:20200528T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/15
DESCRIPTION:Title: Large values of the Riemann zeta function in short inte
rvals\nby Louis-Pierre Arguin (New York) as part of One World Probability
seminar\n\n\nAbstract\nIn a seminal paper in 2012\, Fyodorov & Keating pro
posed a series of conjectures describing the statistics of large values of
zeta in short intervals of the critical line. In particular\, they relate
these statistics to the ones of log-correlated Gaussian fields. In this l
ecture\, I will present recent results that answer many aspects of these c
onjectures. Connections to problems in number theory will also be discusse
d.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrew Stuart (Caltech)
DTSTART;VALUE=DATE-TIME:20200528T140000Z
DTEND;VALUE=DATE-TIME:20200528T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/16
DESCRIPTION:Title: Supervised Learning between Function Spaces\nby Andrew
Stuart (Caltech) as part of One World Probability seminar\n\n\nAbstract\nC
onsider separable Banach spaces $X$ and $Y$\, and equip $X$ with a probabi
lity measure $m$. Let $F\\colon X\\to Y$ be an unknown operator. Given dat
a pairs ${x_j\,F(x_j)}$ with ${x_j}$ drawn i.i.d. from $m$\, the goal of
supervised learning is to approximate $F$. The proposed approach is motiva
ted by the recent successes of neural networks and deep learning in addres
sing this problem in settings where $X$ is a finite dimensional Euclidean
space and where $Y$ is either a finite dimensional Euclidean space (regres
sion) or a set of finite cardinality (classification). Algorithms which ad
dress the problem for infinite dimensional spaces $X$ and $Y$ have the pot
ential to speed-up large-scale computational tasks arising in science and
engineering in which $F$ must be evaluated many times. The talk introduces
an overarching approach to this problem and describes three distinct meth
odologies which are built from this approach. Basic theoretical results ar
e explained and numerical results presented for solution operators arising
from elliptic PDEs and from the semigroup generated by Burgers equation.\
n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander E. Holroyd (Bristol)
DTSTART;VALUE=DATE-TIME:20200604T130000Z
DTEND;VALUE=DATE-TIME:20200604T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/17
DESCRIPTION:Title: Matching Random Points\nby Alexander E. Holroyd (Bristo
l) as part of One World Probability seminar\n\n\nAbstract\nWhat is fairnes
s\, and to what extent is it practically achievable? I’ll talk about a s
imple mathematical model under which one might hope to understand such que
stions. Red and blue points occur as independent homogeneous Poisson proce
sses of equal intensity in Euclidean space\, and we try to match them to e
ach other. We would like to minimize the sum of a some function (say\, a p
ower\, gamma) of the distances between matched pairs. This does not make s
ense\, because the sum is infinite\, so instead we satisfy ourselves with
minimizing *locally*. If the points are interpreted as agents who would li
ke to be matched as close as possible\, the parameter gamma encodes a meas
ure of fairness – large gamma means that we try to avoid very long edges
\, even if that means increasing the lengths of shorter edges – small ga
mma means everyone is in it for themselves.\n\nIn dimension 1 we have a re
asonably complete picture\, with a phase transition at gamma=1. For gamma<
1 there is a unique minimal matching\, while for gamma>1 there are multipl
e matchings but no stationary solution. In higher dimensions\, even existe
nce is not clear in all cases.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alison Etheridge (Oxford)
DTSTART;VALUE=DATE-TIME:20200604T140000Z
DTEND;VALUE=DATE-TIME:20200604T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/18
DESCRIPTION:Title: Branching Brownian Motion\, mean curvature flow and the
motion of hybrid zones\nby Alison Etheridge (Oxford) as part of One World
Probability seminar\n\n\nAbstract\nHybrid zones are narrow regions in whi
ch two genetically distinct populations come together and interbreed\, res
ulting in hybrids. They may be maintained by an abrupt change in the envir
onment or because of natural selection against the hybrids\, in which case
the location of the zone can change with time. If natural selection is ac
ting at a single genetic locus\, then we can model the hybrid zone through
a special case of the Allen-Cahn equation. In this talk we present a prob
abilistic proof of a well known connection between this version of the Al
len-Cahn equation and mean curvature flow. The approach is quite flexible
and\, in particular\, has the advantage that it is readily adapted to inco
rporate another important force of evolution\, random genetic drift.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Garban (Lyon)
DTSTART;VALUE=DATE-TIME:20200611T130000Z
DTEND;VALUE=DATE-TIME:20200611T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/19
DESCRIPTION:Title: A new point of view on topological phase transitions (I
ntroduction)\nby Christophe Garban (Lyon) as part of One World Probability
seminar\n\n\nAbstract\nTopological phase transitions were discovered by B
erezinskii-Kosterlitz-Thouless in the 70's. They describe intriguing phase
transitions for classical spins systems such as the plane rotator model (
or XY model). \n\nFirst talk : General introduction on the topological pha
se transitions. Without assuming any a priori background\, we will discuss
how this phase transition arises in cases such as :\n\n- the XY model (sp
ins on Z^2 with values in the unit circle) \n\n- the integer-valued Gaussi
an Free Field\n\n- Abelian Yang-Mills on Z^4\n\nWe will also discuss some
of the main contributions of Fröhlich and Spencer to this theory. \n\nBot
h talks will be based mostly on the preprint: https://arxiv.org/abs/2002.1
2284\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Avelio Sepúlveda (Lyon)
DTSTART;VALUE=DATE-TIME:20200611T140000Z
DTEND;VALUE=DATE-TIME:20200611T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/20
DESCRIPTION:Title: A new point of view on topological phase transitions\nb
y Avelio Sepúlveda (Lyon) as part of One World Probability seminar\n\n\nA
bstract\nTopological phase transitions were discovered by Berezinskii-Kost
erlitz-Thouless in the 70's. They describe intriguing phase transitions fo
r classical spins systems such as the plane rotator model (or XY model). \
n\nSecond talk : A statistical reconstruction problem. \n\nWe will connect
topological phase transitions to a statistical reconstruction problem con
cerning the Gaussian Free Field and will show that the feasibility of the
reconstruction undergoes a KT transition. \n\nBoth talks will be based mos
tly on the preprint: https://arxiv.org/abs/2002.12284\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tom Britton (Sockholm)
DTSTART;VALUE=DATE-TIME:20200618T130000Z
DTEND;VALUE=DATE-TIME:20200618T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/21
DESCRIPTION:Title: Basic reproduction numbers\, effective reproduction num
bers and herd immunity\nby Tom Britton (Sockholm) as part of One World Pro
bability seminar\n\n\nAbstract\nWe start by defining some basic concepts f
or the simplest epidemic model and then extend the results to a wider clas
s of epidemic models allowing for some population heterogeneities. We end
by showing an important new result: the disease-induced herd immunity leve
l h_D is smaller than the classical herd immunity level h_C=1-1/R_0.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amaury Lambert (Paris) and Emmanuel Schertzer (Paris)
DTSTART;VALUE=DATE-TIME:20200618T140000Z
DTEND;VALUE=DATE-TIME:20200618T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/22
DESCRIPTION:Title: Some modeling aspects of the COVID-19 epidemics\nby Ama
ury Lambert (Paris) and Emmanuel Schertzer (Paris) as part of One World Pr
obability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcelo Hilário (Shanghai)
DTSTART;VALUE=DATE-TIME:20200625T130000Z
DTEND;VALUE=DATE-TIME:20200625T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/23
DESCRIPTION:Title: Random walks on dynamical random environments with non-
uniform mixing (Part 1)\nby Marcelo Hilário (Shanghai) as part of One Wor
ld Probability seminar\n\n\nAbstract\nIn these two consecutive talks we wi
ll discuss recent results on the limiting behavior of random walks on dyna
mical random environments. The strength of these results depends a great d
eal on space-time mixing properties imposed to the environment but also on
other features like the dimension and the allowed transitions. In our cas
e\, we restrict ourselves to random walks evolving on one-dimensional rand
om environments given by conservative interacting particle systems such as
the simple symmetric exclusion process. For this setting\, conservation o
f particles leads to poor-mixing conditions which complicates the applicab
ility of some available tools. Our goal is to explain how renormalization
can be used to handle these difficulties in order to obtain law of large n
umbers\, large deviation estimates. The first talk will be a non-technical
introduction to the subject. In the second talk\, we provide a more detai
led idea of how to prove the results. All the results were obtained on sev
eral joint works with Oriane Blondel\, Frank den Hollander\, Daniel Kious\
, Renato dos Santos and Vladas Sidoravicius.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Augusto Teixeira (Rio)
DTSTART;VALUE=DATE-TIME:20200625T140000Z
DTEND;VALUE=DATE-TIME:20200625T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/24
DESCRIPTION:Title: Random walks on dynamical random environments with non-
uniform mixing (Part 2)\nby Augusto Teixeira (Rio) as part of One World Pr
obability seminar\n\n\nAbstract\nIn these two consecutive talks we will di
scuss recent results on the limiting behavior of random walks on dynamical
random environments. The strength of these results depends a great deal o
n space-time mixing properties imposed to the environment but also on othe
r features like the dimension and the allowed transitions. In our case\, w
e restrict ourselves to random walks evolving on one-dimensional random en
vironments given by conservative interacting particle systems such as the
simple symmetric exclusion process. For this setting\, conservation of par
ticles leads to poor-mixing conditions which complicates the applicability
of some available tools. Our goal is to explain how renormalization can b
e used to handle these difficulties in order to obtain law of large number
s\, large deviation estimates. The first talk will be a non-technical intr
oduction to the subject. In the second talk\, we provide a more detailed i
dea of how to prove the results. All the results were obtained on several
joint works with Oriane Blondel\, Frank den Hollander\, Daniel Kious\, Ren
ato dos Santos and Vladas Sidoravicius.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ron Peled (Tel Aviv)
DTSTART;VALUE=DATE-TIME:20200702T120000Z
DTEND;VALUE=DATE-TIME:20200702T130000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/25
DESCRIPTION:Title: Fluctuations of random surfaces and concentration inequ
alities for log-concave distributions\nby Ron Peled (Tel Aviv) as part of
One World Probability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Omer Angel (Vancouver)
DTSTART;VALUE=DATE-TIME:20200702T130000Z
DTEND;VALUE=DATE-TIME:20200702T140000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/26
DESCRIPTION:Title: Excited martingales\nby Omer Angel (Vancouver) as part
of One World Probability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ronen Eldan (Weizmann)
DTSTART;VALUE=DATE-TIME:20200709T140000Z
DTEND;VALUE=DATE-TIME:20200709T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/27
DESCRIPTION:Title: Localization and concentration of measures on the discr
ete hypercube with applications to interacting particle systems\nby Ronen
Eldan (Weizmann) as part of One World Probability seminar\n\n\nAbstract\nF
or a probability measure $\\mu$ on the discrete hypercube\, we are interes
ted in finding sufficient conditions under which $\\mu$ either (a) Exhibit
s concentration (either in the sense of Lipschitz functions\, or in a stro
nger sense such as a Poincare inequality)\, or (b) Can be decomposed as a
mixture of a rather small number of "localized" measures which in turn exh
ibit some sort of concentration. We will present several results in those
directions\, whose proofs all rely on a certain localization technique tha
t we will try to explain. We will mention some applications of these resul
ts towards mean field approximation\, pure state decomposition\, mixing ti
me of the Glauber dynamics on Ising models and concentration of negatively
dependent variables. Based on joint works with Koehler\, Shamir and Zeito
uni.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alice Guionnet (ENS Lyon)
DTSTART;VALUE=DATE-TIME:20200917T140000Z
DTEND;VALUE=DATE-TIME:20200917T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/28
DESCRIPTION:Title: Large deviations in random matrix theory\nby Alice Guio
nnet (ENS Lyon) as part of One World Probability seminar\n\n\nAbstract\nI
will survey the large deviations results existing in random matrix theory\
, highlighting a few key concepts and ideas to derive them.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiaoyang Huang (NYU)
DTSTART;VALUE=DATE-TIME:20200917T150000Z
DTEND;VALUE=DATE-TIME:20200917T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/29
DESCRIPTION:Title: Large deviation principles via spherical integrals\nby
Jiaoyang Huang (NYU) as part of One World Probability seminar\n\n\nAbstrac
t\nThe asymptotics of spherical integral has been obtained by Guionnet and
Zeitouni using matrix Brownian motions. In this talk\, I'll explain a fra
mework to study the large deviation principle for certain matrix models\,
by tilting the measures using the spherical integrals.\nAs examples\, we o
btain \n1) the large deviation principle for the empirical distribution of
the diagonal entries of $UB_NU^*$\, for a sequence of $N\\times N$ diagon
al matrices $B_N$ and unitary/orthogonal Haar distributed matrices $U$\;\n
\n2) the large deviation upper bound for the empirical eigenvalue distribu
tion of $A_N+UB_NU^*$\, for two sequences of $N\\times N$ diagonal matrice
s $A_N\, B_N$\, and their complementary lower bounds on the set of measure
s given by free amalgamation.\n\nThis is a joint work with Belinschi and G
uionnet.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sourav Chatterjee (Stanford)
DTSTART;VALUE=DATE-TIME:20200924T140000Z
DTEND;VALUE=DATE-TIME:20200924T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/30
DESCRIPTION:Title: Yang-Mills on the lattice: New results and open problem
s\nby Sourav Chatterjee (Stanford) as part of One World Probability semina
r\n\n\nAbstract\nQuantum Yang-Mills theories have rigorous formulations on
lattices\, known as lattice gauge theories. In this two-part talk\, I wil
l give a brief introduction to lattice gauge theories and a survey of exis
ting results\, followed by an overview of a number of longstanding open pr
oblems and recent progress on some of these questions.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rongfeng Sun (National University of Singapore)
DTSTART;VALUE=DATE-TIME:20201001T140000Z
DTEND;VALUE=DATE-TIME:20201001T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/31
DESCRIPTION:Title: Scaling limits of disorder relevant systems\nby Rongfen
g Sun (National University of Singapore) as part of One World Probability
seminar\n\n\nAbstract\nIn this talk\, I will give an overview of continuum
and weak disorder scaling limits of statistical mechanics systems which a
re disorder relevant\, that is\, disorder perturbations of an underlying p
ure system that alter its large scale behaviour\, however small is the per
turbation. Examples include the directed polymer model in dimension 1\, th
e disordered pinning model\, and the random field perturbation of the crit
ical two-dimensional Ising model.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Bowditch (University College Dublin)
DTSTART;VALUE=DATE-TIME:20201001T150000Z
DTEND;VALUE=DATE-TIME:20201001T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/32
DESCRIPTION:Title: The two-dimensional continuum random field Ising model\
nby Adam Bowditch (University College Dublin) as part of One World Probabi
lity seminar\n\n\nAbstract\nThe critical two-dimensional Ising model with
random field perturbation acting as site disorder is a well known example
of a disorder relevant system. If the disorder strength is suitably weaken
ed as the lattice mesh is refined then the model admits a continuum scalin
g limit. I will discuss this procedure and compare the continuum model wit
h and without the random field perturbation.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Makiko Sasada (University of Tokyo)
DTSTART;VALUE=DATE-TIME:20201008T140000Z
DTEND;VALUE=DATE-TIME:20201008T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/33
DESCRIPTION:Title: Hydrodynamic limit of nongradient models\nby Makiko Sas
ada (University of Tokyo) as part of One World Probability seminar\n\n\nAb
stract\nHydrodynamic limit provides a rigorous mathematical method to deri
ve a deterministic partial differential equation describing time evolution
of macroscopic parameters\, from stochastic dynamics of a microscopic lar
ge scale interacting system. As an introduction to our joint work with Ken
ichi Bannai and Yukio Kametani\, arXiv:2009.04699 [math.PR]\, in this talk
\, I will give a brief introduction to the theory of hydrodynamic limit an
d explain key ideas of the proof when the microscopic dynamics is reversib
le. Even though the hydrodynamic limit for reversible models is somewhat c
lassical\, the so-called nongradient models are still hard to analyze. I w
ill discuss the difficulties of nongradient models and related open questi
ons.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kenichi Bannai (Keio University)
DTSTART;VALUE=DATE-TIME:20201008T150000Z
DTEND;VALUE=DATE-TIME:20201008T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/34
DESCRIPTION:Title: Geometric perspective for the theory of hydrodynamic li
mits\nby Kenichi Bannai (Keio University) as part of One World Probability
seminar\n\n\nAbstract\nThe talk concerns the joint work with Makiko Sasad
a and Yukio Kametani. In the literature\, the hydrodynamic limit has been
shown for each specific system under consideration. In this talk\, we intr
oduce a general framework encompassing a wide variety of interacting syste
ms in order to systematically investigate various microscopic stochastic l
arge scale interacting systems in a unified fashion. In particular\, we in
troduced a new cohomology theory called the uniformly local cohomology to
investigate the underlying geometry of the interacting system. Our theory
gives a new interpretation of the macroscopic parameters\, the role played
by the group action on the microscopic system\, and the origin of the dif
fusion matrix associated to the macroscopic deterministic diffusion equati
on obtained via the space-time scaling limit of the microscopic system. Ou
r main result may be interpreted as a uniformly local form version of Vara
dhan’s decomposition theorem in the nongradient method and indicates tha
t the specification of the decomposition is determined by the underlying g
eometric structure of the model.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lionel Levine (Cornell University)
DTSTART;VALUE=DATE-TIME:20201022T140000Z
DTEND;VALUE=DATE-TIME:20201022T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/35
DESCRIPTION:Title: Abelian Sandpiles and Abelian Networks\nby Lionel Levin
e (Cornell University) as part of One World Probability seminar\n\n\nAbstr
act\nThe Abelian Networks are a class of interacting particle systems whos
e final state does not depend on the order of interactions. A revealing ex
ample is the Abelian Sandpile of Bak-Tang-Wiesenfeld\, a toy model of sand
cascading down a pile. This model has certain “non-universal” feature
s\, and we'll identify "slow mixing" as the culprit: The threshold state o
f the sandpile retains some memory of its initial state. Then we’ll expl
ore the design space of Abelian Networks in search of a model with more un
iversal features. A promising candidate is Activated Random Walk.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Patricia Gonçalves (University of Lisbon)
DTSTART;VALUE=DATE-TIME:20201210T140000Z
DTEND;VALUE=DATE-TIME:20201210T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/36
DESCRIPTION:Title: Scaling limits for symmetric exclusion with open bounda
ry\nby Patricia Gonçalves (University of Lisbon) as part of One World Pro
bability seminar\n\n\nAbstract\nThe focus of this seminar is the derivatio
n of the macroscopic laws that rule the space-time evolution of the conser
ved quantities of a certain stochastic process. \n\nThe goal is to describ
e the connection between the macroscopic equations and the microscopic sys
tem of random particles. The former can be either PDEs or stochastic PDEs
depending on whether one is looking at the law of large numbers or the cen
tral limit theorem scaling. \n\nThe toy model for the microscopic dynamics
is the symmetric simple exclusion process in contact with slow stochastic
reservoirs. I will review the hydrodynamic limit\, but the goal of my tal
k is to present the non-equilibrium fluctuations for this model. Depending
on the range of the parameter that rules the boundary intensity\, we obta
in processes with various boundary conditions. \n\nThis is a joint work wi
th Tertuliano Franco (UFBA-Brazil)\, Milton Jara (IMPA - Brazil)\, Otávio
Menezes (Purdue University\, USA) and Adriana Neumann (UFRGS-Brazil)\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cedric Bernardin (Université Côte d'Azur)
DTSTART;VALUE=DATE-TIME:20201210T150000Z
DTEND;VALUE=DATE-TIME:20201210T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/37
DESCRIPTION:Title: Derivation of coupled KPZ-Burgers equation from multisp
ecies Zero-range processes\nby Cedric Bernardin (Université Côte d'Azur)
as part of One World Probability seminar\n\n\nAbstract\nWe consider the f
luctuation fields of multi-species weakly-asymmetric zero-range interactin
g particle systems in one dimension\, where the mass density of each speci
es is conserved. Although such fields have been studied in systems with a
single species\, the multi-species setting is much less understood. Among
other results\, we show that\, when the system starts from stationary stat
es\, with a particular property\, the scaling limits of the multi-species
fluctuation fields\, seen in a characteristic traveling frame\, solve a co
upled Burgers SPDE\, which is a formal spatial gradient of a coupled KPZ e
quation. (Joint with T. Funaki and S. Sethuraman)\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dirk Erhard (UFBA)
DTSTART;VALUE=DATE-TIME:20201015T140000Z
DTEND;VALUE=DATE-TIME:20201015T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/38
DESCRIPTION:Title: 2D anisotropic KPZ at stationarity\nby Dirk Erhard (UFB
A) as part of One World Probability seminar\n\n\nAbstract\nThe KPZ equatio
n is the stochastic partial differential equation in $d$ space dimensions
formally given by $\\partial_t h=\\Delta h +\\langle h\,Q h\\rangle +\\xi$
\, where $\\xi$ is the so called space time white noise\, i.e.\, a gaussia
n process with short range correlations\, and $Q$ is a $d$ dimensional mat
rix. This equation was introduced in the physics literature in the late ei
ghties to model stochastic growth phenomena\, is moreover connected to $(d
+1)$ dimensional directed polymers in a random potential and is supposed t
o arise as a scaling limit of a large class of interacting particle system
s. In this talk I will try to explain where this equation comes from\, why
it is interesting\, and how its behaviour depends on the spatial dimensio
n. I will mostly focus on the case of dimension 2\, and I will comment on
a recent result which contradicts a folklore belief from the physics liter
ature. This is based on joint works with Giuseppe Cannizzaro\, Philipp Sch
önbauer and Fabio Toninelli\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amol Aggarwal (Columbia University and Clay Mathematics Institute)
DTSTART;VALUE=DATE-TIME:20201015T150000Z
DTEND;VALUE=DATE-TIME:20201015T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/39
DESCRIPTION:Title: The Ferroelectric Six-Vertex Model\nby Amol Aggarwal (C
olumbia University and Clay Mathematics Institute) as part of One World Pr
obability seminar\n\n\nAbstract\nThe six-vertex model is a prototype for d
iscrete random surfaces in mathematical physics in probability. In this ta
lk we will describe asymptotic properties for this model in its ferroelect
ric phase\, where it can behave substantially differently from other class
ical random surface models\, such as dimers or Ising crystals. These prope
rties include anisotropic correlation decay\; connections with stochastic
interface growth and the Kardar-Parisi-Zhang (KPZ) universality class\; an
d unusual regimes where translation-invariant Gibbs states do not exist.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonardo Rolla (NYU-Shanghai\, IMAS-Conicet\, Warwick)
DTSTART;VALUE=DATE-TIME:20201022T150000Z
DTEND;VALUE=DATE-TIME:20201022T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/40
DESCRIPTION:Title: Activated Random Walks\nby Leonardo Rolla (NYU-Shanghai
\, IMAS-Conicet\, Warwick) as part of One World Probability seminar\n\n\nA
bstract\nIn this second talk\, we will discuss one specific type of stocha
stic Abelian network called Activated Random Walks. Long-range effects int
rinsic to its conservative dynamics and lack of a simple algebraic structu
re cause standard tools and techniques to break down\, which makes the mat
hematical study of this model remarkably challenging. Yet\, some exciting
progress has been made in the last ten years\, with the development of a f
ramework of tools and methods which is finally becoming more structured. W
e will briefly recall the existing results and open problems\, then focus
on recent progress for one-dimensional symmetric walks with at density (Ba
su-Ganguly-Hoffman 2018)\, enhancement and continuity of the critical curv
e (Taggi 2020)\, scaling limit at criticality (Cabezas-myself 2020)\, symm
etric walks at high sleep rate (Hoffman-Richey-myself 2020)\, and linear g
rowth (Levine-Silvestri 2020).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Riddhipratim Basu (International Centre for Theoretical Sciences T
ata)
DTSTART;VALUE=DATE-TIME:20201029T140000Z
DTEND;VALUE=DATE-TIME:20201029T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/41
DESCRIPTION:by Riddhipratim Basu (International Centre for Theoretical Sci
ences Tata) as part of One World Probability seminar\n\n\nAbstract\nPlanar
last passage percolation models are canonical examples of stochastic grow
th in the Kardar-Parisi-Zhang universality class\, where one considers ori
ented paths between points in a random environment accruing the integral o
f the noise along itself as its weight. Given the endpoints\, the extremal
path with the maximum weight is termed as the geodesic.\n\nAs the endpoin
ts are allowed to vary in space and time (one dimension for each)\, the jo
int ensemble of the weights gives rise to a four parameter space-time rand
om energy field\, whose conjectural universal weak limit\, the Directed l
andscape\, was recently constructed in a breakthrough work of Dauvergne\,
Ortmann and Virag. We shall discuss a few recent results identifying expon
ents that govern the space time geometry of this fundamental object and it
s prelimits.\n\nIn the first talk we shall study the aging behavior at sho
rt and large scales establishing exponents dictating the decay of correlat
ions of weights in time\, in last passage percolation on the lattice with
exponential weights. We shall describe two results corresponding to the dr
oplet and flat initial conditions confirming conjectures made by Ferrari a
nd Spohn a few years ago.\n\nIn the second talk we shall describe results
on fractal geometry specializing to a Brownian model. In particular\, we s
tudy the coupling structure of the geodesic weight profiles at a fixed tim
e (say 1) started at distinct points at time 0 by analyzing their differen
ce function. Though in expectation this grows linearly\, we show that the
difference profile induces a random measure whose support is fractal and c
ompute its dimension. We also relate the support of this measure to the ex
ceptional set of points admitting disjoint geodesics.\n\nBeyond geometric
and probabilistic arguments involving geodesic behavior\, the key inputs u
sed are one point fluctuation information\, locally Brownian nature of th
e geodesic weight profile\, and sharp estimates on rarity of disjoint geod
esics\, the latter two being consequences of an invariance property under
resampling termed as the Brownian Gibbs property.\n\nThese talks are based
on a number of works jointly with subsets of Erik Bates\, Alan Hammond\,
and Lingfu Zhang.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shirshendu Ganguly (U. C. Berkeley)
DTSTART;VALUE=DATE-TIME:20201029T150000Z
DTEND;VALUE=DATE-TIME:20201029T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/42
DESCRIPTION:by Shirshendu Ganguly (U. C. Berkeley) as part of One World Pr
obability seminar\n\n\nAbstract\nPlanar last passage percolation models ar
e canonical examples of stochastic growth in the Kardar-Parisi-Zhang unive
rsality class\, where one considers oriented paths between points in a ran
dom environment accruing the integral of the noise along itself as its wei
ght. Given the endpoints\, the extremal path with the maximum weight is te
rmed as the geodesic.\n\nAs the endpoints are allowed to vary in space and
time (one dimension for each)\, the joint ensemble of the weights gives r
ise to a four parameter space-time random energy field\, whose conjectura
l universal weak limit\, the Directed landscape\, was recently constructed
in a breakthrough work of Dauvergne\, Ortmann and Virag. We shall discuss
a few recent results identifying exponents that govern the space time geo
metry of this fundamental object and its prelimits.\n\nIn the first talk w
e shall study the aging behavior at short and large scales establishing ex
ponents dictating the decay of correlations of weights in time\, in last p
assage percolation on the lattice with exponential weights. We shall descr
ibe two results corresponding to the droplet and flat initial conditions c
onfirming conjectures made by Ferrari and Spohn a few years ago.\n\nIn the
second talk we shall describe results on fractal geometry specializing to
a Brownian model. In particular\, we study the coupling structure of the
geodesic weight profiles at a fixed time (say 1) started at distinct point
s at time 0 by analyzing their difference function. Though in expectation
this grows linearly\, we show that the difference profile induces a random
measure whose support is fractal and compute its dimension. We also relat
e the support of this measure to the exceptional set of points admitting d
isjoint geodesics.\n\nBeyond geometric and probabilistic arguments involvi
ng geodesic behavior\, the key inputs used are one point fluctuation info
rmation\, locally Brownian nature of the geodesic weight profile\, and sha
rp estimates on rarity of disjoint geodesics\, the latter two being conseq
uences of an invariance property under resampling termed as the Brownian G
ibbs property.\n\nThese talks are based on a number of works jointly with
subsets of Erik Bates\, Alan Hammond\, and Lingfu Zhang.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandra Faggionato (Sapienza University of Rome)
DTSTART;VALUE=DATE-TIME:20201105T140000Z
DTEND;VALUE=DATE-TIME:20201105T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/43
DESCRIPTION:Title: 2-scale convergence for random walks in random environ
ment and applications to homogenization\, hydrodynamics and resistor netwo
rks\nby Alessandra Faggionato (Sapienza University of Rome) as part of One
World Probability seminar\n\n\nAbstract\nThe 2-scale convergence method
was introduced by Nguetseng and Allaire in homogenization theory of pa
rtial differential equations and afterwards successfully adapted to stoch
astic homogenization\, allowing to deal also with singular structures (see
[Jikov&Piatnitski]). We focus here on 2-scale convergence for random walk
s.\n\nIn the first talk we aim to provide a gentle introduction to 2-scale
convergence for random walks in random environment with symmetric rates.
Using the Palm theory of random measures we discuss ergodicity issues at a
2-scale level. We then introduce a basic difference calculus and define 2
-scale convergence of functions and gradients\, corresponding to an enfor
ced averaging property. Finally we discuss the fundamental compactness and
structure theorem for bounded families of H^1-functions\, where geometri
cal issues of square integrable forms and the homogenized matrix emerge.\
n\nIn the second talk we discuss some applications of the above 2-scale co
nvergence for random walks in random environment. A first one is given by
the invariance principle of random walks on the supercritical percolation
cluster of P. Mathieu and A. Piatnitski. We then discuss more in detail ap
plications to the homogenization of the massive Poisson equation associate
d with the random walk\, which also enters in the derivation of the hydrod
ynamic limit of exclusion and zero range processes. Finally\, we discuss
applications to random resistor networks\, in particular to the conductan
ce model and the Miller-Abrahams one associated to Mott variable range hop
ping in amorphous solids.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudio Landim (IMPA)
DTSTART;VALUE=DATE-TIME:20201105T150000Z
DTEND;VALUE=DATE-TIME:20201105T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/44
DESCRIPTION:Title: Metastability as Markov chains model reduction\nby Clau
dio Landim (IMPA) as part of One World Probability seminar\n\nAbstract: TB
A\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudio Landim (IMPA)
DTSTART;VALUE=DATE-TIME:20201112T140000Z
DTEND;VALUE=DATE-TIME:20201112T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/45
DESCRIPTION:Title: Metastability as Markov chains model reduction\nby Clau
dio Landim (IMPA) as part of One World Probability seminar\n\n\nAbstract\n
In this lecture\, we review recent developments in the theory of the metas
table behavior of continuous-time Markov chains. To illustrate it\, we co
nsider the evolution of the magnetization in the Ising model and the dynam
ics of the condensate in critical zero-range processes.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Insuk Seo (Seoul National University)
DTSTART;VALUE=DATE-TIME:20201112T150000Z
DTEND;VALUE=DATE-TIME:20201112T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/46
DESCRIPTION:Title: Metastability of stochastic interacting systems\nby Ins
uk Seo (Seoul National University) as part of One World Probability semina
r\n\n\nAbstract\nIn this second presentation regarding the metastability o
f random dynamical systems\, we focus on two specific models to understand
how the general methodologies introduced in the first presentation can be
applied. The first model is the Ising model on a finite\, fixed\, and lar
ge lattice without an external field at very low temperatures. We explain
how the potential theory can be effectively employed for analyzing the sai
d model\, whose saddle between ground states comprises a large set of conf
igurations with complicated structure. The second model is the zero-range
process with sticky interaction. We elucidate how various approaches can b
e applied for handling the non-reversibility or the criticality associated
with the stickiness of particles.\nThe study on the Ising model is a coll
aboration with S. Kim\, and the study on the zero-range process is a colla
boration with C. Landim and D. Marcondes.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Bourgade (NYU)
DTSTART;VALUE=DATE-TIME:20201119T140000Z
DTEND;VALUE=DATE-TIME:20201119T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/47
DESCRIPTION:Title: Logarithmically correlated fields in random matrix theo
ry and analytic number theory\nby Paul Bourgade (NYU) as part of One World
Probability seminar\n\n\nAbstract\nLogarithmically correlated processes o
ccur naturally when the contributions of randomness on all scales are comp
arable. The paradigm is branching Brownian motion\, and other examples inc
lude the 2d Gaussian free field and cover times. More recently\, it has be
en observed that the positions of eigenvalues of random matrices\, and the
Riemann zeta function along the critical line\, exhibit similar multiscal
e behaviors\; in this lecture\, I will explain basic tools to prove log-co
rrelations in these settings.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michel Pain (NYU)
DTSTART;VALUE=DATE-TIME:20201119T150000Z
DTEND;VALUE=DATE-TIME:20201119T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/48
DESCRIPTION:Title: Central limit theorem for the characteristic polynomial
of general beta-ensembles\nby Michel Pain (NYU) as part of One World Prob
ability seminar\n\n\nAbstract\nIn this talk\, I will present a joint work
with Paul Bourgade and Krishnan Mody. We consider beta-ensembles with gene
ral potentials (or equivalently a log-gas in dimension 1)\, which are a ge
neralization of Gaussian beta-ensembles and of classical invariant ensembl
es of random matrices. We prove a multivariate central limit theorem for t
he logarithm of the characteristic polynomial\, showing that it behaves as
a log-correlated field. A key ingredient is an optimally sharp local law
for the the Stieljes transform of the empirical measure which can be of in
dependent interest. Both the proofs of the CLT and the local law are based
essentially on loop equations techniques.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jian Ding (University of Pennsylvania)
DTSTART;VALUE=DATE-TIME:20201203T140000Z
DTEND;VALUE=DATE-TIME:20201203T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/49
DESCRIPTION:Title: A review for random field Ising model\nby Jian Ding (Un
iversity of Pennsylvania) as part of One World Probability seminar\n\n\nAb
stract\nRandom field Ising model is a canonical example to study the effec
t of disorder on long range order. In 70's\, Imry-Ma predicted that in the
presence of weak disorder\, the long-range order persists at low temperat
ures in three dimensions and above but disappears in two dimensions. In th
is talk\, I will review mathematical development surrounding this predicti
on including recent progress on exponential decay in two dimensions. \n\nT
he talk is based on contributions from many researchers in the community\,
including a joint work with Jiaming Xia.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mateo Wirth (University of Pennsylvania)
DTSTART;VALUE=DATE-TIME:20201203T150000Z
DTEND;VALUE=DATE-TIME:20201203T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/50
DESCRIPTION:Title: Correlation length for two-dimensional random field Isi
ng model via greedy lattice animal\nby Mateo Wirth (University of Pennsylv
ania) as part of One World Probability seminar\n\n\nAbstract\nIn this talk
\, I will discuss two-dimensional random field Ising model where the disor
der is given by i.i.d. mean zero Gaussian variables with small variance. I
will present a recent joint work with Jian Ding on (one notion of) the co
rrelation length\, which is the critical size of the box where the influen
ces to spin magnetization from the boundary conditions and from the random
field are comparable. Our work draws a connection to the greedy lattice a
nimal normalized by the boundary size.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thierry Bodineau (École Polytechnique)
DTSTART;VALUE=DATE-TIME:20201217T140000Z
DTEND;VALUE=DATE-TIME:20201217T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/51
DESCRIPTION:by Thierry Bodineau (École Polytechnique) as part of One Worl
d Probability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roland Bauerschmidt (Cambridge)
DTSTART;VALUE=DATE-TIME:20201217T150000Z
DTEND;VALUE=DATE-TIME:20201217T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/52
DESCRIPTION:by Roland Bauerschmidt (Cambridge) as part of One World Probab
ility seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Leblé (CNRS - Université de Paris (MAP5))
DTSTART;VALUE=DATE-TIME:20210114T140000Z
DTEND;VALUE=DATE-TIME:20210114T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/53
DESCRIPTION:Title: Coulomb gases: a short introduction\nby Thomas Leblé (
CNRS - Université de Paris (MAP5)) as part of One World Probability semin
ar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sylvia Serfaty (NYU Courant)
DTSTART;VALUE=DATE-TIME:20210114T150000Z
DTEND;VALUE=DATE-TIME:20210114T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/54
DESCRIPTION:Title: Local laws and fluctuations for Coulomb gases\nby Sylvi
a Serfaty (NYU Courant) as part of One World Probability seminar\n\nAbstra
ct: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lorenzo Zambotti (Sorbonne Université)
DTSTART;VALUE=DATE-TIME:20210121T140000Z
DTEND;VALUE=DATE-TIME:20210121T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/55
DESCRIPTION:Title: Some stochastic PDEs for the future\nby Lorenzo Zambott
i (Sorbonne Université) as part of One World Probability seminar\n\nAbstr
act: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Caravenna (University of Milano-Bicocca)
DTSTART;VALUE=DATE-TIME:20210121T150000Z
DTEND;VALUE=DATE-TIME:20210121T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/56
DESCRIPTION:Title: Hairer's Reconstruction Theorem without Regularity Stru
ctures\nby Francesco Caravenna (University of Milano-Bicocca) as part of O
ne World Probability seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristina Toninelli (Université Paris Dauphine)
DTSTART;VALUE=DATE-TIME:20210128T140000Z
DTEND;VALUE=DATE-TIME:20210128T150000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/57
DESCRIPTION:Title: Universality results for interacting particle systems w
ith dynamical constraints\nby Cristina Toninelli (Université Paris Dauph
ine) as part of One World Probability seminar\n\nView-only livestream: htt
ps://www.youtube.com/channel/UCiLiEQGTp6bZEhuHDM-WNWQ\nAbstract: TBA\n
URL:https://www.youtube.com/channel/UCiLiEQGTp6bZEhuHDM-WNWQ
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Martinelli (Università Roma Tre)
DTSTART;VALUE=DATE-TIME:20210128T150000Z
DTEND;VALUE=DATE-TIME:20210128T160000Z
DTSTAMP;VALUE=DATE-TIME:20210124T155317Z
UID:OneWorldProb/58
DESCRIPTION:Title: Sharp threshold for the FA-2f kinetically constrained m
odel\nby Fabio Martinelli (Università Roma Tre) as part of One World Prob
ability seminar\n\nView-only livestream: https://www.youtube.com/channel/U
CiLiEQGTp6bZEhuHDM-WNWQ\nAbstract: TBA\n
URL:https://www.youtube.com/channel/UCiLiEQGTp6bZEhuHDM-WNWQ
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