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BEGIN:VEVENT
SUMMARY:Per von Soosten (Harvard University)
DTSTART;VALUE=DATE-TIME:20200427T201500Z
DTEND;VALUE=DATE-TIME:20200427T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/1
DESCRIPTION:Title: Localization and delocalization for ultrametric random
matrices\nby Per von Soosten (Harvard University) as part of MIT probabili
ty seminar\n\n\nAbstract\nWe consider a Dyson-hierarchical analogue of pow
er-law random band matrices with Gaussian entries. The model can be constr
ucted recursively by alternating between averaging independent copies of t
he matrix and running Dyson Brownian motion. We use this to map out the lo
calized regime and a large part of the delocalized regime in terms of loca
l statistics and eigenfunction decay. Our method extends to a part of the
delocalized regime in which the model has a well-defined infinite-volume l
imit with Holder-continuous spectral measures. This talk is based on joint
work with Simone Warzel.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amol Aggarwal (Harvard University)
DTSTART;VALUE=DATE-TIME:20200504T201500Z
DTEND;VALUE=DATE-TIME:20200504T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/2
DESCRIPTION:Title: Pure States in the Ferroelectric Six-Vertex Model\nby A
mol Aggarwal (Harvard University) as part of MIT probability seminar\n\n\n
Abstract\nThe classification and analysis of pure states (translation-inva
riant\, ergodic Gibbs measures) for statistical mechanical systems is a fu
ndamental question in mathematical physics. In this talk we investigate th
is question for the six-vertex model in its ferroelectric phase. We will s
ee that the situation here differs considerably from its more well-known c
ounterpart for dimer models. In particular\, for the ferroelectric six-ver
tex model there now exist non-trivial regions of non-existence and new fam
ilies of highly anisotropic pure states exhibiting Kardar-Parisi-Zhang (KP
Z) fluctuations.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marianna Russkikh (MIT)
DTSTART;VALUE=DATE-TIME:20200511T201500Z
DTEND;VALUE=DATE-TIME:20200511T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/3
DESCRIPTION:Title: Dimers and embeddings\nby Marianna Russkikh (MIT) as pa
rt of MIT probability seminar\n\n\nAbstract\nOne of the main questions in
the context of the universality and conformal invariance of a critical 2D
lattice model is to find an embedding which geometrically encodes the weig
hts of the model and that admits "nice" discretizations of Laplace and Cau
chy-Riemann operators. We establish a correspondence between dimer models
on a bipartite graph and circle patterns with the combinatorics of that gr
aph. We describe how to construct a '$t$-embedding' (or a circle pattern)
of a dimer planar graph using its Kasteleyn weights\, and develop a releva
nt theory of discrete holomorphic functions on $t$-embeddings\; this theor
y unifies Kenyon's holomorphic functions on $T$-graphs and $s$-holomorphic
functions coming from the Ising model. We discuss a concept of 'perfect $
t$-embeddings' of weighted bipartite planar graphs. We believe that these
embeddings always exist and that they are good candidates to recover the c
omplex structure of big bipartite planar graphs carrying a dimer model. Ba
sed on: joint work with R. Kenyon\, W. Lam\, S. Ramassamy\; and joint work
with D. Chelkak\, B. Laslier.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eitan Bachmat (Ben-Gurion University)
DTSTART;VALUE=DATE-TIME:20200921T201500Z
DTEND;VALUE=DATE-TIME:20200921T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/4
DESCRIPTION:Title: On maximal (weight) increasing subsequences\nby Eitan B
achmat (Ben-Gurion University) as part of MIT probability seminar\n\n\nAbs
tract\nWe will discuss the connection between the first order asymptotics
of maximal weight increasing subsequences and comparison of natural (and i
mplemented) airplane boarding policies.\n\nWe then consider the behavior o
f weight fluctuations of maximal weight increasing subsequences by viewing
them as discrete versions of maximal proper time curves in various space-
time domains.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Remi Rhodes (Aix-Marseille Université)
DTSTART;VALUE=DATE-TIME:20200928T201500Z
DTEND;VALUE=DATE-TIME:20200928T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/5
DESCRIPTION:Title: Conformal Bootstrap in Liouville theory.\nby Remi Rhode
s (Aix-Marseille Université) as part of MIT probability seminar\n\n\nAbst
ract\nLiouville conformal field theory (denoted LCFT) is a 2-dimensional c
onformal field theory depending on a real-valued parameter γ and studied
since the eighties in theoretical physics. In the case of the theory on th
e Riemann sphere\, physicists proposed closed formulae for the n-point cor
relation functions using symmetries and representation theory\, called the
DOZZ formula (when n=3) and the conformal bootstrap (for n>3). A probabil
istic construction of LCFT was recently proposed by David-Kupiainen-Rhodes
-Vargas for γ in the half-open interval (0\,2] and the last three authors
later proved the DOZZ formula. In this talk I will present a proof of equ
ivalence between the probabilistic and the bootstrap construction (propose
d in physics) for the n point correlation functions with n greater or equa
l to 4\, valid for γ in the open interval (0\, √2). Our proof combines
the analysis of a natural semi-group\, tools from scattering theory and th
e use of Virasoro algebra in the context of the probabilistic approach (th
e so-called conformal Ward identities).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacapo Borga (Universität Zürich)
DTSTART;VALUE=DATE-TIME:20201005T201500Z
DTEND;VALUE=DATE-TIME:20201005T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/6
DESCRIPTION:Title: Scaling and local limits of Baxter permutations and bip
olar orientations through coalescent-walk processes\nby Jacapo Borga (Univ
ersität Zürich) as part of MIT probability seminar\n\n\nAbstract\nBaxter
permutations\, plane bipolar orientations\, and a specific family of walk
s in the non-negative quadrant\, called tandem walks\, are well-known to b
e related to each other through several bijections. In order to study thei
r scaling and local limits\, we introduce a further new family of discrete
objects\, called coalescent-walk processes and we relate them with the ot
her previously mentioned families introducing some new bijections.\n\nWe p
rove joint Benjamini-Schramm convergence (both in the annealed and quenche
d sense) for uniform objects in the four families. Furthermore\, we explic
itly construct a new random measure of the unit square\, called the Baxter
permuton\, and we show that it is the scaling limit (in the permuton sens
e) of uniform Baxter permutations. We further relate the limiting objects
of the four families to each other\, both in the local and scaling limit c
ase.\n\nTo prove the scaling limit result\, we show that the associated ra
ndom coalescent-walk process converges in distribution to the coalescing f
low of a perturbed version of the Tanaka stochastic differential equation.
This result has connections with the results of Gwynne\, Holden\, Sun (20
16) on scaling limits (in the Peanosphere topology) of plane bipolar trian
gulations.\n\nThis is a joint work with Mickael Maazoun.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Kolesnikov (HSE)
DTSTART;VALUE=DATE-TIME:20201026T201500Z
DTEND;VALUE=DATE-TIME:20201026T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/8
DESCRIPTION:Title: Blaschke--Santalo inequality for many functions and geo
desic barycenters of measures\nby Alexander Kolesnikov (HSE) as part of MI
T probability seminar\n\n\nAbstract\nMotivated by the geodesic barycenter
problem from optimal transportation theory\, we prove a natural generaliza
tion of the Blaschke–Santalo inequality for many sets and many functions
. We derive from it an entropy bound for the total Kantorovich cost appear
ing in the barycenter problem.\n \nThe talk is based on joint works with
Elisabeth Werner.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Damron (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20201102T211500Z
DTEND;VALUE=DATE-TIME:20201102T221500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/9
DESCRIPTION:by Michael Damron (Georgia Tech) as part of MIT probability se
minar\n\nInteractive livestream: https://mit.zoom.us/j/96421029678?pwd=cTh
IR2hVNUNpY1JDOS95RUpoeFpmdz09\nPassword hint: Password: 356815 -- Meeting
ID: 964 2102 9678\nAbstract: TBA\n
URL:https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JDOS95RUpoeFpmdz09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Atilla Yilmaz (Temple)
DTSTART;VALUE=DATE-TIME:20201109T211500Z
DTEND;VALUE=DATE-TIME:20201109T221500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/10
DESCRIPTION:by Atilla Yilmaz (Temple) as part of MIT probability seminar\n
\nInteractive livestream: https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNU
NpY1JDOS95RUpoeFpmdz09\nPassword hint: Password: 356815 -- Meeting ID: 964
2102 9678\nAbstract: TBA\n
URL:https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JDOS95RUpoeFpmdz09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Subhabrata Sen (Harvard)
DTSTART;VALUE=DATE-TIME:20201116T211500Z
DTEND;VALUE=DATE-TIME:20201116T221500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/11
DESCRIPTION:by Subhabrata Sen (Harvard) as part of MIT probability seminar
\n\nInteractive livestream: https://mit.zoom.us/j/96421029678?pwd=cThIR2hV
NUNpY1JDOS95RUpoeFpmdz09\nPassword hint: Password: 356815 -- Meeting ID: 9
64 2102 9678\nAbstract: TBA\n
URL:https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JDOS95RUpoeFpmdz09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benson Au (UCSD)
DTSTART;VALUE=DATE-TIME:20201207T211500Z
DTEND;VALUE=DATE-TIME:20201207T221500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/13
DESCRIPTION:by Benson Au (UCSD) as part of MIT probability seminar\n\nInte
ractive livestream: https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JD
OS95RUpoeFpmdz09\nPassword hint: Password: 356815 -- Meeting ID: 964 2102
9678\nAbstract: TBA\n
URL:https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JDOS95RUpoeFpmdz09
END:VEVENT
BEGIN:VEVENT
SUMMARY:Russell Lyons (Indiana University)
DTSTART;VALUE=DATE-TIME:20200914T201500Z
DTEND;VALUE=DATE-TIME:20200914T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/15
DESCRIPTION:Title: Random Walks on Dyadic Lattice Graphs and Their Duals\n
by Russell Lyons (Indiana University) as part of MIT probability seminar\n
\n\nAbstract\nDyadic lattice graphs and their duals are commonly used as d
iscrete approximations to the hyperbolic plane. We use them to give exampl
es of random rooted graphs that are stationary for simple random walk\, bu
t whose duals have only a singular stationary measure. This answers a ques
tion of Curien and shows behaviour different from the unimodular case. The
consequence is that planar duality does not combine well with stationary
random graphs. We also study harmonic measure on dyadic lattice graphs and
show its singularity. Much interesting behaviour observed numerically rem
ains to be explained. No background will be assumed for the talk. This is
joint work with Graham White.\n\nDate: Monday\, September 14. \nTime: Ther
e will be an informal discussion for MIT local people with our speaker sta
rting at 4 pm and the talk starts at the usual time 4:15 pm. Welcome to jo
in the discussion before the talk and to say hi to the speaker and other a
ttendees.\n\nZoom: https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JDO
S95RUpoeFpmdz09\n\nPassword: 356815\n\nPlease download and import the f
ollowing iCalendar (.ics) files to your calendar system.\nhttps://mit.zoom
.us/meeting/tJIpdeiorDIsHdxRBXOnKJeRp0PlkQLDSHeo/ics?icsToken=98tyKuCuqjkr
Gtacth6PRowABojod_TzplhdgqdFrj3dLC54SAbEJrJyPrlOPPzj\n\n\nYou can check ou
t more details about the seminar at https://math.mit.edu/seminars/probabil
ity/\n\nHope you see you on Monday\,\nYilin\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-Christophe Mourrat (New York University)
DTSTART;VALUE=DATE-TIME:20201019T201500Z
DTEND;VALUE=DATE-TIME:20201019T211500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/16
DESCRIPTION:Title: Mean-field spin glasses: beyond the replica trick?\nby
Jean-Christophe Mourrat (New York University) as part of MIT probability s
eminar\n\n\nAbstract\nSpin glasses are models of statistical mechanics enc
oding disordered interactions between many simple units. One of the fundam
ental quantities of interest is the free energy of the model\, in the limi
t when the number of units tends to infinity. For a restricted class of mo
dels\, this limit was predicted by Parisi\, and later rigorously proved by
Guerra and Talagrand. I will first show how to rephrase this result using
an infinite-dimensional Hamilton-Jacobi equation. I will then present par
tial results suggesting that this new point of view may allow to understan
d limit free energies for a larger class of models\, focusing in particula
r on the case in which the units are organized over two layers\, and only
interact across layers.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Mikulincer (Weizmann Institute)
DTSTART;VALUE=DATE-TIME:20201130T211500Z
DTEND;VALUE=DATE-TIME:20201130T221500Z
DTSTAMP;VALUE=DATE-TIME:20201029T112441Z
UID:Probability/17
DESCRIPTION:by Dan Mikulincer (Weizmann Institute) as part of MIT probabil
ity seminar\n\nInteractive livestream: https://mit.zoom.us/j/96421029678?p
wd=cThIR2hVNUNpY1JDOS95RUpoeFpmdz09\nPassword hint: Password: 356815 -- Me
eting ID: 964 2102 9678\nAbstract: TBA\n
URL:https://mit.zoom.us/j/96421029678?pwd=cThIR2hVNUNpY1JDOS95RUpoeFpmdz09
END:VEVENT
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