BEGIN:VCALENDAR
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PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Felipe Gonçalves (University of Bonn)
DTSTART;VALUE=DATE-TIME:20200831T190000Z
DTEND;VALUE=DATE-TIME:20200831T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/1
DESCRIPTION:Title: Sign
Uncertainty\nby Felipe Gonçalves (University of Bonn) as part of Pro
bability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Varun Jog (University of Wisconsin-Madison)
DTSTART;VALUE=DATE-TIME:20200914T190000Z
DTEND;VALUE=DATE-TIME:20200914T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/2
DESCRIPTION:Title: Reve
rse Euclidean and Gaussian isoperimetric inequalities for parallel sets wi
th applications\nby Varun Jog (University of Wisconsin-Madison) as par
t of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zakhar Kabluchko (University of Münster)
DTSTART;VALUE=DATE-TIME:20200921T190000Z
DTEND;VALUE=DATE-TIME:20200921T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/3
DESCRIPTION:Title: Expe
cted f-vector of the Poisson Zero Cell\nby Zakhar Kabluchko (Universit
y of Münster) as part of Probability and Analysis Webinar\n\nAbstract: TB
A\n
LOCATION:https://researchseminars.org/talk/paw/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Courtade (UC Berkeley)
DTSTART;VALUE=DATE-TIME:20200928T190000Z
DTEND;VALUE=DATE-TIME:20200928T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/4
DESCRIPTION:by Thomas Courtade (UC Berkeley) as part of Probability and An
alysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oanh Nguyen (Princeton University)
DTSTART;VALUE=DATE-TIME:20201005T190000Z
DTEND;VALUE=DATE-TIME:20201005T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/5
DESCRIPTION:by Oanh Nguyen (Princeton University) as part of Probability a
nd Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asgar Jamneshan (UCLA)
DTSTART;VALUE=DATE-TIME:20201026T190000Z
DTEND;VALUE=DATE-TIME:20201026T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/6
DESCRIPTION:by Asgar Jamneshan (UCLA) as part of Probability and Analysis
Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kasso Okoudjou (Tufts University)
DTSTART;VALUE=DATE-TIME:20201102T200000Z
DTEND;VALUE=DATE-TIME:20201102T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/7
DESCRIPTION:by Kasso Okoudjou (Tufts University) as part of Probability an
d Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christoph Thäle (Ruhr-Universität Bochum)
DTSTART;VALUE=DATE-TIME:20201109T200000Z
DTEND;VALUE=DATE-TIME:20201109T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/8
DESCRIPTION:by Christoph Thäle (Ruhr-Universität Bochum) as part of Prob
ability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Renan Gross (Weizmann Institute of Science)
DTSTART;VALUE=DATE-TIME:20201207T200000Z
DTEND;VALUE=DATE-TIME:20201207T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/9
DESCRIPTION:Title: Stoc
hastic Processes for Boolean Profit\nby Renan Gross (Weizmann Institut
e of Science) as part of Probability and Analysis Webinar\n\n\nAbstract\nN
ot even influence inequalities for Boolean functions can escape the long a
rm of stochastic processes. I will present a (relatively) natural stochast
ic process which turns Boolean functions and their derivatives into jump-p
rocess martingales. There is much to profit from analyzing the individual
paths of these processes: Using stopping times and level inequalities\, we
will reprove an inequality of Talagrand relating edge boundaries and the
influences\, and say something about functions which almost saturate the i
nequality. The technique (mostly) bypasses hypercontractivity. Work with R
onen Eldan.\n
LOCATION:https://researchseminars.org/talk/paw/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Piotr Nayar (University of Warsaw\, Poland)
DTSTART;VALUE=DATE-TIME:20200907T190000Z
DTEND;VALUE=DATE-TIME:20200907T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/10
DESCRIPTION:Title: Sha
rp variance-entropy comparison for Gaussian quadratic forms\nby Piotr
Nayar (University of Warsaw\, Poland) as part of Probability and Analysis
Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gennady Uraltsev (University of Virginia)
DTSTART;VALUE=DATE-TIME:20201019T190000Z
DTEND;VALUE=DATE-TIME:20201019T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/11
DESCRIPTION:by Gennady Uraltsev (University of Virginia) as part of Probab
ility and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mariusz Mirek (Rutgers University)
DTSTART;VALUE=DATE-TIME:20201116T200000Z
DTEND;VALUE=DATE-TIME:20201116T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/12
DESCRIPTION:by Mariusz Mirek (Rutgers University) as part of Probability a
nd Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Treil (Brown University)
DTSTART;VALUE=DATE-TIME:20201012T190000Z
DTEND;VALUE=DATE-TIME:20201012T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/13
DESCRIPTION:by Sergei Treil (Brown University) as part of Probability and
Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bobby Wilson (University of Washington)
DTSTART;VALUE=DATE-TIME:20201123T200000Z
DTEND;VALUE=DATE-TIME:20201123T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/14
DESCRIPTION:by Bobby Wilson (University of Washington) as part of Probabil
ity and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oscar Dominguez Bonilla (Universidad Complutense de Madrid)
DTSTART;VALUE=DATE-TIME:20201130T200000Z
DTEND;VALUE=DATE-TIME:20201130T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/15
DESCRIPTION:by Oscar Dominguez Bonilla (Universidad Complutense de Madrid)
as part of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Volberg (Michigan State University)
DTSTART;VALUE=DATE-TIME:20210125T200000Z
DTEND;VALUE=DATE-TIME:20210125T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/16
DESCRIPTION:Title: Mul
ti-parameter Poincaré inequality\, multi-parameter Carleson embedding: Bo
x condition versus Chang--Fefferman condition\nby Alexander Volberg (M
ichigan State University) as part of Probability and Analysis Webinar\n\n\
nAbstract\nCarleson embedding theorem is a building block for many singula
r integral operators and the main instrument in proving ``Leibniz rule" fo
r fractional derivatives (Kato--Ponce\, Kenig). It is also an essential st
ep in all known ``corona theorems’’. Multi-parameter embedding is a to
ol to prove more complicated Leibniz rules that are also widely used in we
ll-posedness questions for various PDEs. Alternatively\, multi-parameter e
mbedding appear naturally in questions of embedding of spaces of analytic
functions in polydisc into Lebesgue spaces with respect to a measure in th
e polydisc. \n\nCarleson embedding theorems often serve as a first buildin
g block for interpolation in complex space and also for corona type result
s. The embedding of spaces of holomorphic functions on n-polydisc can be r
educed (without loss of information) to the boundedness of weighted mult
i-parameter dyadic Carleson embedding. We find the necessary and sufficie
nt condition for this Carleson embedding in n-parameter case\, when n is
1\, 2\, or 3. The main tool is the harmonic analysis on graphs with cycle
s. The answer is quite unexpected and seemingly goes against the well know
n difference between box and Chang--Fefferman condition that was given by
Carleson quilts example of 1974. I will present results obtained jointly b
y Arcozzi\, Holmes\, Mozolyako\, Psaromiligkos\, Zorin-Kranich and myself.
\n
LOCATION:https://researchseminars.org/talk/paw/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sudan Xing (University of Alberta)
DTSTART;VALUE=DATE-TIME:20210201T200000Z
DTEND;VALUE=DATE-TIME:20210201T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/17
DESCRIPTION:Title: On
Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measure
s\nby Sudan Xing (University of Alberta) as part of Probability and An
alysis Webinar\n\n\nAbstract\nhttps://drive.google.com/file/d/1ts9kydmwnZC
grg4FPovy3qQf1Kj6Rt7j/view\n
LOCATION:https://researchseminars.org/talk/paw/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ohad Klein (Bar-Ilan University)
DTSTART;VALUE=DATE-TIME:20210208T200000Z
DTEND;VALUE=DATE-TIME:20210208T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/18
DESCRIPTION:Title: On
the distribution of Randomly Signed Sums and Tomaszewski’s Conjecture\nby Ohad Klein (Bar-Ilan University) as part of Probability and Analysis
Webinar\n\n\nAbstract\nA Rademacher sum $X$ is a random variable characte
rized by real numbers $a_1\, \\ldots\, a_n$\, and is equal to\n\n$$X = a_1
x_1 + \\ldots + a_n x_n\,$$ where $x_1\, \\ldots\, x_n$ are independent s
igns (uniformly selected from $\\{-1\, 1\\}$).\n\nA conjecture by Bogusła
w Tomaszewski\, 1986: all Rademacher sums $X$ satisfy $$\\textup{Pr}[ |X|
\\leq \\sqrt {\\textup{Var}(X)} ] \\geq 1/2$$\n\nWe prove the conjecture\
, and discuss other ways in which Rademacher sums behave like normally dis
tributed variables.\n\nJoint work with Nathan Keller.\n
LOCATION:https://researchseminars.org/talk/paw/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Galyna Livshyts (Georgia Institute of Technology)
DTSTART;VALUE=DATE-TIME:20210215T200000Z
DTEND;VALUE=DATE-TIME:20210215T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/19
DESCRIPTION:by Galyna Livshyts (Georgia Institute of Technology) as part o
f Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rupert Frank (Caltech)
DTSTART;VALUE=DATE-TIME:20210222T200000Z
DTEND;VALUE=DATE-TIME:20210222T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/20
DESCRIPTION:Title: Lie
b-Thirring bounds and other inequalities for orthonormal functions\nby
Rupert Frank (Caltech) as part of Probability and Analysis Webinar\n\n\nA
bstract\nWe discuss extensions of several inequalities in harmonic analysi
s to the setting of families of orthonormal functions. While the case of S
obolev-type inequalities is classical\, newer results concern the Strichar
tz inequality\, the Stein-Tomas inequality and Sogge’s spectral cluster
estimates\, among others. Of particular interest is the dependence of the
constants in the resulting bounds on the number of functions and we will p
resent some optimal results. \n \nThe talk is based on joint work with Jul
ien Sabin.\n
LOCATION:https://researchseminars.org/talk/paw/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicholas Cook (Duke University)
DTSTART;VALUE=DATE-TIME:20210301T200000Z
DTEND;VALUE=DATE-TIME:20210301T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/21
DESCRIPTION:Title: Uni
versality for the minimum modulus of random trigonometric polynomials\
nby Nicholas Cook (Duke University) as part of Probability and Analysis We
binar\n\n\nAbstract\nWe consider the restriction to the unit circle of ran
dom degree-n polynomials with iid coefficients (Kac polynomials). Recent w
ork of Yakir and Zeitouni shows that for Gaussian coefficients\, the minim
um modulus (suitably rescaled) follows a limiting exponential distribution
. We show this is a universal phenomenon\, extending their result to arbit
rary sub-Gaussian coefficients\, such as Rademacher signs. Our approach re
lates the joint distribution of small values at several angles to that of
a random walk in high-dimensional phase space\, for which we obtain strong
central limit theorems. The case of discrete coefficients is particularly
challenging as the distribution is then sensitive to arithmetic structure
among the angles. Based on joint work with Hoi Nguyen.\n
LOCATION:https://researchseminars.org/talk/paw/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mateusz Kwaśnicki (Wrocław University of Science and Technolo
gy)
DTSTART;VALUE=DATE-TIME:20210308T200000Z
DTEND;VALUE=DATE-TIME:20210308T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/22
DESCRIPTION:by Mateusz Kwaśnicki (Wrocław University of Science and T
echnology) as part of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Heilman (University of Southern California)
DTSTART;VALUE=DATE-TIME:20210315T190000Z
DTEND;VALUE=DATE-TIME:20210315T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/23
DESCRIPTION:by Steven Heilman (University of Southern California) as part
of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandros Eskenazis (University of Cambridge\, UK)
DTSTART;VALUE=DATE-TIME:20210329T190000Z
DTEND;VALUE=DATE-TIME:20210329T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/24
DESCRIPTION:Title: Met
ric Influence inequalities\nby Alexandros Eskenazis (University of Cam
bridge\, UK) as part of Probability and Analysis Webinar\n\n\nAbstract\nTa
lagrand's influence inequality (1994) is an asymptotic improvement of the
classical Poincaré inequality on the Hamming cube with numerous applicati
ons to Boolean analysis\, discrete probability theory and geometric functi
onal analysis. In this talk\, we shall introduce a metric space-valued ver
sion of Talagrand's inequality and show its validity for some natural clas
ses of spaces. Emphasis will be given to the probabilistic aspects of the
proofs. We will also explain a geometric application of this metric invari
ant to the bi-Lipschitz embeddability of a natural family of finite metric
s and mention related open problems. The talk is based on joint work with
D. Cordero-Erausquin.\n
LOCATION:https://researchseminars.org/talk/paw/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Pivovarov (University of Missouri)
DTSTART;VALUE=DATE-TIME:20210405T190000Z
DTEND;VALUE=DATE-TIME:20210405T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/25
DESCRIPTION:by Peter Pivovarov (University of Missouri) as part of Prob
ability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sarah Peluse (Princeton University/IAS)
DTSTART;VALUE=DATE-TIME:20210426T190000Z
DTEND;VALUE=DATE-TIME:20210426T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/26
DESCRIPTION:Title: On
the polynomial Szemer\\'edi theorem and related results\nby Sarah Pelu
se (Princeton University/IAS) as part of Probability and Analysis Webin
ar\n\n\nAbstract\nIn this talk\, I'll survey recent progress on problems i
n additive combinatorics\, harmonic analysis\, and ergodic theory related
to Bergelson and Leibman's polynomial generalization of Szemer\\'edi's the
orem.\n
LOCATION:https://researchseminars.org/talk/paw/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Dragičević (University of Ljubljana)
DTSTART;VALUE=DATE-TIME:20210503T190000Z
DTEND;VALUE=DATE-TIME:20210503T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/27
DESCRIPTION:Title: Tri
linear embedding theorem for elliptic partial differential operators in di
vergence form with complex coefficients\nby Oliver Dragičević (Unive
rsity of Ljubljana) as part of Probability and Analysis Webinar\n\n\nAbstr
act\nWe introduce the notion of p-ellipticity of a complex matrix function
and discuss basic examples where it plays a major role\, as well as the t
echniques that led to the introduction of the notion. In the second part o
f the talk we focus on a so-called trilinear embedding theorem for complex
elliptic operators and its corollaries. The talk is based on collaboratio
n with Andrea Carbonaro (U. Genova) and Vjekoslav Kovač and Kristina Škr
eb (U. Zagreb).\n
LOCATION:https://researchseminars.org/talk/paw/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theresa Anderson (Purdue University)
DTSTART;VALUE=DATE-TIME:20210322T190000Z
DTEND;VALUE=DATE-TIME:20210322T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/28
DESCRIPTION:by Theresa Anderson (Purdue University) as part of Probability
and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vishesh Jain (Stanford University)
DTSTART;VALUE=DATE-TIME:20210419T190000Z
DTEND;VALUE=DATE-TIME:20210419T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/29
DESCRIPTION:Title: On
the real Davies' conjecture\nby Vishesh Jain (Stanford University) as
part of Probability and Analysis Webinar\n\n\nAbstract\nWe show that every
$n \\times n$ real matrix $A$ is within distance $\\delta \\|A\\|$ in the
operator norm of an $n\\times n$ real matrix $A'$ whose eigenvectors have
condition number $\\tilde{O}(\\text{poly}(n)/\\delta)$. In fact\, we show
that with high probability\, an additive i.i.d. sub-Gaussian perturbation
of $A$ has this property. Up to log factors\, this confirms a speculation
of E.B. Davies. \n\nBased on joint work with Ashwin Sah (MIT) and Mehtaab
Sawhney (MIT).\n
LOCATION:https://researchseminars.org/talk/paw/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joris Roos (University of Massachusetts-Lowell)
DTSTART;VALUE=DATE-TIME:20210510T190000Z
DTEND;VALUE=DATE-TIME:20210510T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/30
DESCRIPTION:by Joris Roos (University of Massachusetts-Lowell) as part of
Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stanislaw Szarek (Case Western Reserve University/Sorbonne Univers
ite)
DTSTART;VALUE=DATE-TIME:20210412T190000Z
DTEND;VALUE=DATE-TIME:20210412T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/31
DESCRIPTION:Title: Gen
eralized probabilistic theories and tensor products of normed spaces\n
by Stanislaw Szarek (Case Western Reserve University/Sorbonne Universite)
as part of Probability and Analysis Webinar\n\n\nAbstract\nGeneralized Pro
babilistic Theories (GPTs) form an abstract framework to describe theories
of nature that have probabilistic features. A GPT must specify the set of
states purporting to represent the physical reality\, the allowable measu
rements\, the rules for outcome statistics of the latter\, and the composi
tion rules describing what happens when we merge subsystems and create a l
arger system. Examples include classical probability and quantum theory.\
nThe composition rules alluded to above usually involve tensor products an
d\, in some formulations\, normed spaces. Among tensor products of normed
spaces that have operational meaning in the GPT context\, the projective
and the injective product are the extreme ones\, which leads to the natura
l question "How much do they differ?" considered already by Grothendieck
and Pisier (in the 1950s and 1980s). Surprisingly\, no systematic quanti
tative analysis of the finite-dimensional case seems to have ever been mad
e. We show that the projective/injective discrepancy is always lower-bound
ed by the power of the (smaller) dimension\, with the exponent depending o
n the generality of the setup. Some of the results are essentially optimal
\, but others can be likely improved. The methods involve a wide range of
techniques from geometry of Banach spaces and random matrices.\nJoint work
with G. Aubrun\, L. Lami\, C. Palazuelos\, A. Winter.\n
LOCATION:https://researchseminars.org/talk/paw/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gergely Ambrus (Alfréd Rényi Institute of Mathematics and Univer
sity of Szeged)
DTSTART;VALUE=DATE-TIME:20210920T190000Z
DTEND;VALUE=DATE-TIME:20210920T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/32
DESCRIPTION:Title: Str
ongly Convex Chains\nby Gergely Ambrus (Alfréd Rényi Institute of Ma
thematics and University of Szeged) as part of Probability and Analysis We
binar\n\n\nAbstract\nIt is a classical question to study the length of the
longest monotone increasing subsequence in a random permutation on n elem
ents\, which has been studied for over half a century. From the geometric
viewpoint\, the question asks for the maximal number of points in a random
sample of n uniform\, independent points in a unit square which form an i
ncreasing chain. Based on this geometric intuition\, one may study the max
imal number of points (called the length) which form a convex chain\, alon
g with two fixed vertices of the unit square. In a joint work with Imre B
árány\, we determined the asymptotic order of magnitude of the length of
the longest convex chain\, proved strong concentration estimates and a li
mit shape result. In a recent work\, I studied the analogous question for
higher order convexity\, and managed to determine the expected length in t
his case as well (which turns out to be very aesthetic)\, along with conce
ntration properties. In the talk I will give a survey of these results and
present several open questions and further research directions.\n
LOCATION:https://researchseminars.org/talk/paw/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Bortz (University of Alabama)
DTSTART;VALUE=DATE-TIME:20210927T190000Z
DTEND;VALUE=DATE-TIME:20210927T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/33
DESCRIPTION:Title: FKP
meets DKP\nby Simon Bortz (University of Alabama) as part of Probabil
ity and Analysis Webinar\n\n\nAbstract\nIn the 80’s Dahlberg asked two q
uestions regarding the `$L^p$ – solvability’ of elliptic equations wit
h variable coefficients. Dahlberg’s first question was whether $L^p$ sol
vability was maintained under `Carleson-perturbations’ of the coefficien
ts. This question was answered by Fefferman\, Kenig and Pipher [FKP]\, whe
re they also introduced new characterizations of $A_\\infty$\, reverse-Hö
lder and $A_p$ weights. These characterizations were used to create a coun
terexample to show their theorem was sharp.\n \nDahlberg’s second questi
on was whether a Carleson gradient/oscillation condition (the `DKP conditi
on’) was enough to imply $L^p$ solvability for some p > 1. This was answ
ered by Kenig and Pipher [KP] and refined by Dindos\, Petermichl and Piphe
r [DPP] (in the `small constant’ case). These $L^p$ solvability results
can be interpreted in terms of a reverse Hölder condition for the ellipt
ic kernel and therefore connected with the $A_\\infty$ condition. In this
talk\, we discuss L^p solvability for a class of coefficients that satisfi
es a `weak DKP condition’. In particular\, we connect the (weak) DKP con
dition to the characterization of $A_\\infty$ in [FKP]. This allows us to
treat the `large’\, `small’ and ‘vanishing’ (weak) DKP conditions
simultaneously and independently from the works [KP] and [DPP]. \n \nThis
is joint work with my co-authors Egert\, Saari\, Toro and Zhao. A proof of
the main estimate will be sketched\, but technical details will be avoide
d.\n
LOCATION:https://researchseminars.org/talk/paw/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marina Iliopoulou (University of Kent)
DTSTART;VALUE=DATE-TIME:20211004T190000Z
DTEND;VALUE=DATE-TIME:20211004T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/34
DESCRIPTION:Title: Sha
rp L^p estimates for oscillatory integral operators of arbitrary signature
\nby Marina Iliopoulou (University of Kent) as part of Probability and
Analysis Webinar\n\n\nAbstract\nThe restriction problem in harmonic analy
sis asks for L^p bounds on the Fourier transform of functions defined on c
urved surfaces. In this talk\, we will present improved restriction estima
tes for hyperbolic paraboloids\, that depend on the signature of the parab
oloids. These estimates still hold\, and are sharp\, in the variable coeff
icient regime. This is joint work with Jonathan Hickman.\n
LOCATION:https://researchseminars.org/talk/paw/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Charles Bordenave (Institute of Mathematics of Marseille)
DTSTART;VALUE=DATE-TIME:20211011T190000Z
DTEND;VALUE=DATE-TIME:20211011T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/35
DESCRIPTION:Title: Str
ong asymptotic freeness for independent uniform variables on compact group
s\nby Charles Bordenave (Institute of Mathematics of Marseille) as par
t of Probability and Analysis Webinar\n\n\nAbstract\nAsymptotic freeness o
f independent Haar distributed unitary matrices was discovered by Voicules
cu. Many refinements have been obtained\, including strong asymptotic free
ness of random unitaries and strong asymptotic freeness of random permutat
ions acting on the orthogonal of the Perron-Frobenius eigenvector. In this
talk\, we consider a new matrix unitary model appearing naturally from re
presentation theory of compact groups. We fix a non-trivial signature\, i.
e. two finite sequences of non-increasing natural numbers\, and for n larg
e enough\, consider the irreducible representation of Un associated to thi
s signature. We show that strong asymptotic freeness holds in this general
ized context when drawing independent copies of the Haar measure. We also
obtain the orthogonal variant of this result. This is a joint work with Be
noît Collins.\n
LOCATION:https://researchseminars.org/talk/paw/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristina Benea (University of Nantes)
DTSTART;VALUE=DATE-TIME:20211018T190000Z
DTEND;VALUE=DATE-TIME:20211018T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/36
DESCRIPTION:Title: The
non-resonant bilinear Hilbert-Carleson operator\nby Cristina Benea (U
niversity of Nantes) as part of Probability and Analysis Webinar\n\n\nAbst
ract\nWe introduce a new class of bilinear operators BC_a acting as a merg
er between two classical objects in harmonic analysis: the bilinear Hilber
t transform and the linear Carleson-Stein-Wainger operator. The two opposi
ng features (modulation invariance versus modulation of the kernel by a mo
nomial phase with space-depending coefficients) of BC_a require a two-reso
lutions analysis and the use of a dilated time-frequency portrait. This is
joint work with F. Bernicot\, V. Lie\, M. Vitturi.\n
LOCATION:https://researchseminars.org/talk/paw/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pavel Zorin-Kranich (University of Bonn)
DTSTART;VALUE=DATE-TIME:20211025T190000Z
DTEND;VALUE=DATE-TIME:20211025T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/37
DESCRIPTION:Title: Var
iational estimates for martingale transforms\nby Pavel Zorin-Kranich (
University of Bonn) as part of Probability and Analysis Webinar\n\n\nAbstr
act\nI will present Lp estimates for joint rough path lifts of martingales
and deterministic paths. For motivation\, I will also present some rudime
nts of rough integration theory\, which is the deterministic version of st
ochastic integration.\n
LOCATION:https://researchseminars.org/talk/paw/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brett Wick (Washington University in St. Louis)
DTSTART;VALUE=DATE-TIME:20211101T190000Z
DTEND;VALUE=DATE-TIME:20211101T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/38
DESCRIPTION:Title: Sin
gular Integral Operators on the Fock Space\nby Brett Wick (Washington
University in St. Louis) as part of Probability and Analysis Webinar\n\n\n
Abstract\nIn this talk we will discuss the recent solution of a question r
aised by K. Zhu about characterizing a class of singular integral operator
s on the Fock space. We show that for an entire function $\\varphi$ belon
ging to the Fock space ${\\mathscr F}^2(\\mathbb{C}^n)$ on the complex Eu
clidean space $\\mathbb{C}^n$\, the integral operator\n\n\\[\nS_{\\varphi}
F(z)=\\int_{\\mathbb{C}^n} F(w) e^{z \\cdot\\bar{w}} \\varphi(z- \\bar{w})
\\\,d\\lambda(w)\, \\quad z\\in\\mathbb{C}^n\,\n\\]\n\nis bounded on ${\\
mathscr F}^2(\\mathbb{C}^n)$ if and only if there exists a function $m\\in
L^{\\infty}(\\mathbb{R}^n)$ such that\n\n\\[\n\\varphi(z)=\\int_{\\mathbb
{R}^n} m(x)e^{-2\\left(x-\\frac{i}{2} z \\right)^2} dx\, \\quad \\in\\m
athbb{C}^n.\n\\]\nHere $d\\lambda(w)=\\pi^{-n}e^{-\\left\\vert w\\right\\v
ert^2}dw$ is the Gaussian measure on $\\mathbb C^n$.\n\nWith this characte
rization we are able to obtain some fundamental results of the operator $S
_\\varphi$\, including the normality\, the $C^*$ algebraic properties\, th
e spectrum and its compactness. Moreover\, we obtain the reducing subspac
es of $S_{\\varphi}$.\n\nIn particular\, in the case $n=1$\, this gives a
complete solution to the question proposed by K. Zhu for the Fock space ${
\\mathscr F}^2(\\mathbb{C})$\non the complex plane ${\\mathbb C}$ (Integr.
Equ. Oper. Theory {\\bf 81} (2015)\, 451--454).\n\nThis talk is based o
n joint work with Guangfu Cao\, Ji Li\, Minxing Shen\, and Lixin Yan.\n
LOCATION:https://researchseminars.org/talk/paw/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefanie Petermichl (Universität Würzburg)
DTSTART;VALUE=DATE-TIME:20211108T200000Z
DTEND;VALUE=DATE-TIME:20211108T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/39
DESCRIPTION:Title: Goo
d and Bad Maximal Functions\nby Stefanie Petermichl (Universität Wür
zburg) as part of Probability and Analysis Webinar\n\n\nAbstract\nIn a joi
nt work with Nazarov\, Skreb and Treil\, we highlight a marked difference
in the presence of a matrix weight between the Doob type maximal operator
in the dyadic setting and the dyadic Hardy-Littlewood type maximal operato
r. The former is $L^2$ bounded while the latter is not.\n
LOCATION:https://researchseminars.org/talk/paw/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcin Bownik (University of Oregon)
DTSTART;VALUE=DATE-TIME:20211122T190000Z
DTEND;VALUE=DATE-TIME:20211122T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/40
DESCRIPTION:Title: Sim
ultaneous dilation and translation tilings of $\\R^n$\nby Marcin Bowni
k (University of Oregon) as part of Probability and Analysis Webinar\n\n\n
Abstract\nIn this talk we present a solution of the wavelet set problem. T
hat is\, we characterize full-rank lattices $\\Gamma\\subset \\R^n$ and in
vertible $n \\times n$ matrices $A$ for which there exists a measurable se
t $W$ such that $\\{W + \\gamma: \\gamma \\in \\Gamma\\}$ and $\\{A^j(W):
j\\in \\Z\\}$ are tilings of $\\R^n$. The characterization is a non-obvio
us generalization of the one found by Ionascu and Wang\, which solved the
problem in the case $n = 2$. As an application of our condition and a th
eorem of Margulis\, we also strengthen a result of Dai\, Larson\, and the
second author on the existence of wavelet sets by showing that wavelet set
s exist for matrix dilations\, all of whose eigenvalues $\\lambda$ satisfy
$|\\lambda| \\ge 1$. As another application\, we show that the Ionascu-Wa
ng characterization characterizes those dilations whose product of two sma
llest eigenvalues in absolute value is $\\ge 1$.\n> Based on a joint work
with Darrin Speegle.\n
LOCATION:https://researchseminars.org/talk/paw/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joe Neeman (UT Austin)
DTSTART;VALUE=DATE-TIME:20211129T200000Z
DTEND;VALUE=DATE-TIME:20211129T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/41
DESCRIPTION:by Joe Neeman (UT Austin) as part of Probability and Analysis
Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ioana Dumitriu (UC San Diego)
DTSTART;VALUE=DATE-TIME:20211206T200000Z
DTEND;VALUE=DATE-TIME:20211206T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/42
DESCRIPTION:by Ioana Dumitriu (UC San Diego) as part of Probability and An
alysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Seeger (University of Wisconsin-Madison)
DTSTART;VALUE=DATE-TIME:20220221T200000Z
DTEND;VALUE=DATE-TIME:20220221T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/43
DESCRIPTION:Title: L^p
improving bounds for spherical maximal operators\nby Andreas Seeger
(University of Wisconsin-Madison) as part of Probability and Analysis Webi
nar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Hickman (University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20220228T200000Z
DTEND;VALUE=DATE-TIME:20220228T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/44
DESCRIPTION:Title: Kak
eya maximal estimates via real algebraic geometry\nby Jonathan Hickman
(University of Edinburgh) as part of Probability and Analysis Webinar\n\n
\nAbstract\nThe Kakeya (maximal) conjecture concerns how collections of lo
ng\, thin tubes which point in different directions can overlap. Such geom
etric problems underpin the behaviour of various important oscillatory int
egral operators and\, consequently\, understanding the Kakeya conjecture i
s a vital step towards many central problems in harmonic analysis. In this
talk I will discuss work with K. Rogers and R. Zhang which apply tools fr
om the theory of semialgebraic sets to yield new partial results on the Ka
keya conjecture. Also\, more recent work with J. Zahl has used these metho
ds to improve the range of estimates on the Fourier restriction conjecture
.\n
LOCATION:https://researchseminars.org/talk/paw/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kristina Skreb (University of Zagreb)
DTSTART;VALUE=DATE-TIME:20220307T200000Z
DTEND;VALUE=DATE-TIME:20220307T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/45
DESCRIPTION:Title: Bil
inear embedding in Orlicz spaces for divergence-form operators with comple
x coefficients\nby Kristina Skreb (University of Zagreb) as part of Pr
obability and Analysis Webinar\n\n\nAbstract\nWe will discuss a bi(sub)lin
ear embedding for semigroups generated by\nnon-smooth complex-coefficient
elliptic operators in divergence form\nand for certain mutually dual pairs
of Orlicz-space norms. This\ngeneralizes a result by Carbonaro and Dragi
čević from power functions\nto more general Young functions that still b
ehave like powers. To\nachieve this\, we generalize a classic Bellman func
tion constructed by\nNazarov and Treil. The talk is based on joint work wi
th Vjekoslav\nKovač.\n
LOCATION:https://researchseminars.org/talk/paw/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Defant (Carl von Ossietzky Universität Oldenburg)
DTSTART;VALUE=DATE-TIME:20220314T190000Z
DTEND;VALUE=DATE-TIME:20220314T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/46
DESCRIPTION:Title: Geo
rge Boole meets Harald Bohr\nby Andreas Defant (Carl von Ossietzky Uni
versität Oldenburg) as part of Probability and Analysis Webinar\n\n\nAbst
ract\nAbstract at\n\nhttps://drive.google.com/file/d/1nthExFGMrwciZdE6c3_i
famLC3JPwZF0/view\n
LOCATION:https://researchseminars.org/talk/paw/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Evita Nestoridi (Princeton)
DTSTART;VALUE=DATE-TIME:20220321T190000Z
DTEND;VALUE=DATE-TIME:20220321T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/47
DESCRIPTION:Title: Lim
it Profiles of Reversible Markov chains\nby Evita Nestoridi (Princeton
) as part of Probability and Analysis Webinar\n\n\nAbstract\nIt all began
with card shuffling. Diaconis and Shahshahani studied the random transposi
tions shuffle\; pick two cards uniformly at random and swap them. They int
roduced a Fourier analysis technique to prove that it takes $1/2 n \\log n
$ steps to shuffle a deck of $n$ cards this way. Recently\, Teyssier exten
ded this technique to study the exact shape of the total variation distanc
e of the transition matrix at the cutoff time from the stationary measure\
, giving rise to the notion of a limit profile. In this talk\, I am planni
ng to discuss a joint work with Olesker-Taylor\, which extends the above
technique from conjugacy invariant random walks to general\, reversible Ma
rkov chains. I will also present a new technique that allows to study the
limit profile of star transpositions\, which turns out to have the same li
mit profile as random transpositions.\n
LOCATION:https://researchseminars.org/talk/paw/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diogo Oliveira e Silva (Instituto Superior Técnico\, Lisboa)
DTSTART;VALUE=DATE-TIME:20220328T190000Z
DTEND;VALUE=DATE-TIME:20220328T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/48
DESCRIPTION:Title: Sha
rp restriction theory: rigidity\, stability\, and symmetry breaking\nb
y Diogo Oliveira e Silva (Instituto Superior Técnico\, Lisboa) as part of
Probability and Analysis Webinar\n\n\nAbstract\nWe report on recent progr
ess concerning two distinct problems in sharp restriction theory to the un
it sphere.\nFirstly\, the classical estimate of Agmon-Hörmander for the a
djoint restriction operator to the sphere is in general not saturated by c
onstants. We describe the surprising intermittent behaviour exhibited by t
he optimal constant and the space of maximizers\, both for the inequality
itself and for a stable form thereof.\nSecondly\, the Stein-Tomas inequali
ty on the sphere is rigid in the following rather strong sense: constants
continue to maximize the weighted inequality as long as the perturbation i
s sufficiently small and regular\, in a precise sense to be discussed. We
present several examples highlighting why such assumptions are natural\, a
nd describe some consequences to the (mostly unexplored) higher dimensiona
l setting.\nThis talk is based on joint work with E. Carneiro and G. Negro
.\n
LOCATION:https://researchseminars.org/talk/paw/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dor Minzer (MIT)
DTSTART;VALUE=DATE-TIME:20220404T190000Z
DTEND;VALUE=DATE-TIME:20220404T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/49
DESCRIPTION:by Dor Minzer (MIT) as part of Probability and Analysis Webina
r\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alina Stancu (Concordia University)
DTSTART;VALUE=DATE-TIME:20220411T190000Z
DTEND;VALUE=DATE-TIME:20220411T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/50
DESCRIPTION:by Alina Stancu (Concordia University) as part of Probability
and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José Ramón Madrid Padilla (UCLA)
DTSTART;VALUE=DATE-TIME:20220418T190000Z
DTEND;VALUE=DATE-TIME:20220418T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/51
DESCRIPTION:by José Ramón Madrid Padilla (UCLA) as part of Probability a
nd Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/paw/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olli Saari (Universität Bonn)
DTSTART;VALUE=DATE-TIME:20220425T190000Z
DTEND;VALUE=DATE-TIME:20220425T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/52
DESCRIPTION:Title: Pha
se space projections\nby Olli Saari (Universität Bonn) as part of Pro
bability and Analysis Webinar\n\n\nAbstract\nA partition into tiles of the
area covered by a convex tree in the Walsh phase plane gives an orthonorm
al basis for a subspace of L2. There exists a related projection operator\
, which has been an important tool for dyadic models of the bilinear Hilbe
rt transform. Extending such an approach to the Fourier model is strictly
speaking not possible\, but satisfactory substitutes can be constructed. T
his approach was pursued by Muscalu\, Tao and Thiele (2002) for proving un
iform bounds for multilinear singular integrals with modulation symmetry i
n dimension one. I discuss a multidimensional variant of the problem. This
is based on joint work with Marco Fraccaroli and Christoph Thiele.\n
LOCATION:https://researchseminars.org/talk/paw/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vjekoslav Kovac (University of Zagreb)
DTSTART;VALUE=DATE-TIME:20220502T190000Z
DTEND;VALUE=DATE-TIME:20220502T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/53
DESCRIPTION:Title: Low
er bounds for the L^p norms of some Fourier multipliers\nby Vjekoslav
Kovac (University of Zagreb) as part of Probability and Analysis Webinar\n
\n\nAbstract\nQuite often we wonder about the sharpness of estimates for c
ertain singular integral operators. In theory\, their sharpness can be con
firmed by constructing extremizers or approximate extremizers\, but\, in p
ractice\, such extremizers might not be obvious\, or they might be impossi
bly complicated to work with. In this talk we will discuss a reasonably ge
neral way of proving lower bounds for the exact $L^p$ norms of unimodular
homogeneous Fourier multipliers. We will then apply it to solve three open
problems: one by Iwaniec and Martin (from 1996) on the powers of the comp
lex Riesz transform\, one by Maz'ya (traced back to the 1970s) on multipli
ers with smooth phases\, and one by Dragičević\, Petermichl\, and Volber
g (from 2006) on the two-dimensional Riesz group. This is joint work with
Aleksandar Bulj\, Andrea Carbonaro\, and Oliver Dragičević.\n
LOCATION:https://researchseminars.org/talk/paw/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Strzelecka (University of Graz)
DTSTART;VALUE=DATE-TIME:20220124T200000Z
DTEND;VALUE=DATE-TIME:20220124T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/54
DESCRIPTION:Title: Nor
ms of structured random matrices\nby Marta Strzelecka (University of G
raz) as part of Probability and Analysis Webinar\n\n\nAbstract\nWe conside
r the structured Gaussian matrix G_A=(a_{ij}g_{ij})\, where g_{ij}'s are i
ndependent standard Gaussian variables. The exact behavior of the spectral
norm of the structured Gaussian matrix is known due to the result of Lata
la\, van Handel\, and Youssef from 2018. We are interested in two-sided bo
unds for the expected value of the norm of G_A treated as an operator from
l_p^n to l_q^m. We conjecture the sharp estimates expressed only in the t
erms of the coefficients a_{ij}'s. We confirm the conjectured lower bound
up to the constant depending only on p and q\, and the upper bound up to t
he multiplicative constant depending linearly on a certain (small) power o
f ln(mn). This is joint work with Radoslaw Adamczak\, Joscha Prochno\, and
Michal Strzelecki.\n
LOCATION:https://researchseminars.org/talk/paw/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Melbourne (CIMAT)
DTSTART;VALUE=DATE-TIME:20220131T200000Z
DTEND;VALUE=DATE-TIME:20220131T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/55
DESCRIPTION:Title: On
a reversal of Lyapunov's inequality for log-concave sequences\nby Jame
s Melbourne (CIMAT) as part of Probability and Analysis Webinar\n\n\nAbstr
act\nLog-concave sequences appear naturally in a variety of fields. For ex
ample in convex geometry the Alexandrov-Fenchel inequalities demonstrate t
he intrinsic volumes of a convex body to be log-concave\, while in combina
torics the resolution of the Mason conjecture shows that the number of ind
ependent sets of size n in a matroid form a log-concave sequence as well.
By Lyapunov's inequality we refer to the log-convexity of the (p-th power
) of the L^p norm of a function with respect to an arbitrary measure\, an
immediate consequence of Holder's inequality. In the continuous setting me
asure spaces satisfying concavity conditions are known to satisfy a sort o
f concavity reversal of both Lyapunov's inequality\, due to Borell\, while
the Prekopa-Leindler inequality gives a reversal of Holder. These inequa
lities are foundational in convex geometry\, give Renyi entropy comparison
s in information theory\, the Gaussian log-Sobolev inequality\, and more g
enerally the HWI inequality in optimal transport among other applications.
An analogous theory has been developing in the discrete setting. In thi
s talk we establish a reversal of Lyapunov's inequality for monotone log-c
oncave sequences\, settling a conjecture of Havrilla-Tkocz and Melbourne-T
kocz. A strengthened version of the same conjecture is disproved through c
ounter-examples.\n
LOCATION:https://researchseminars.org/talk/paw/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haojian Li (Baylor University)
DTSTART;VALUE=DATE-TIME:20220207T200000Z
DTEND;VALUE=DATE-TIME:20220207T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T072429Z
UID:paw/56
DESCRIPTION:Title: Mat
rix-valued logarithmic Sobolev inequalities\nby Haojian Li (Baylor Uni
versity) as part of Probability and Analysis Webinar\n\n\nAbstract\nLogari
thmic Sobolev inequalities (LSI) first were introduced by Gross in 1970s
as an equivalent formulation of hypercontractivity. LSI have been well stu
died in the past few decades and found applications to information theory\
, optimal transport\, and graphs theory. Recently matrix-valued LSI have b
een an active area of research. Matrix-valued LSI of Lindblad operators ar
e closely related to decoherence of open quantum systems. In this talk\,
I will present recent results on matrix-valued LSI\, in particular a geome
tric approach to matrix-valued LSI of Lindblad operators. This talk is bas
ed on joint work with Li Gao\, Marius Junge\, and Nicholas LaRacuente.\n
LOCATION:https://researchseminars.org/talk/paw/56/
END:VEVENT
END:VCALENDAR