BEGIN:VCALENDAR
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PRODID:researchseminars.org
CALSCALE:GREGORIAN
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BEGIN:VEVENT
SUMMARY:Felipe Gonçalves (University of Bonn)
DTSTART:20200831T190000Z
DTEND:20200831T200000Z
DTSTAMP:20260404T111248Z
UID:paw/1
DESCRIPTION:Title: Sign Uncertainty\nby Felipe Gonçalves (University of Bonn) as part
of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Varun Jog (University of Wisconsin-Madison)
DTSTART:20200914T190000Z
DTEND:20200914T200000Z
DTSTAMP:20260404T111248Z
UID:paw/2
DESCRIPTION:Title: Reverse Euclidean and Gaussian isoperimetric inequalities for parallel
sets with applications\nby Varun Jog (University of Wisconsin-Madison)
as part of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zakhar Kabluchko (University of Münster)
DTSTART:20200921T190000Z
DTEND:20200921T200000Z
DTSTAMP:20260404T111248Z
UID:paw/3
DESCRIPTION:Title: Expected f-vector of the Poisson Zero Cell\nby Zakhar Kabluchko (Un
iversity of Münster) as part of Probability and Analysis Webinar\n\nAbstr
act: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Courtade (UC Berkeley)
DTSTART:20200928T190000Z
DTEND:20200928T200000Z
DTSTAMP:20260404T111248Z
UID:paw/4
DESCRIPTION:by Thomas Courtade (UC Berkeley) as part of Probability and An
alysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oanh Nguyen (Princeton University)
DTSTART:20201005T190000Z
DTEND:20201005T200000Z
DTSTAMP:20260404T111248Z
UID:paw/5
DESCRIPTION:by Oanh Nguyen (Princeton University) as part of Probability a
nd Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asgar Jamneshan (UCLA)
DTSTART:20201026T190000Z
DTEND:20201026T200000Z
DTSTAMP:20260404T111248Z
UID:paw/6
DESCRIPTION:by Asgar Jamneshan (UCLA) as part of Probability and Analysis
Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kasso Okoudjou (Tufts University)
DTSTART:20201102T200000Z
DTEND:20201102T210000Z
DTSTAMP:20260404T111248Z
UID:paw/7
DESCRIPTION:by Kasso Okoudjou (Tufts University) as part of Probability an
d Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christoph Thäle (Ruhr-Universität Bochum)
DTSTART:20201109T200000Z
DTEND:20201109T210000Z
DTSTAMP:20260404T111248Z
UID:paw/8
DESCRIPTION:by Christoph Thäle (Ruhr-Universität Bochum) as part of Prob
ability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Renan Gross (Weizmann Institute of Science)
DTSTART:20201207T200000Z
DTEND:20201207T210000Z
DTSTAMP:20260404T111248Z
UID:paw/9
DESCRIPTION:Title: Stochastic Processes for Boolean Profit\nby Renan Gross (Weizmann I
nstitute of Science) as part of Probability and Analysis Webinar\n\n\nAbst
ract\nNot even influence inequalities for Boolean functions can escape the
long arm of stochastic processes. I will present a (relatively) natural s
tochastic process which turns Boolean functions and their derivatives into
jump-process martingales. There is much to profit from analyzing the indi
vidual paths of these processes: Using stopping times and level inequaliti
es\, we will reprove an inequality of Talagrand relating edge boundaries a
nd the influences\, and say something about functions which almost saturat
e the inequality. The technique (mostly) bypasses hypercontractivity. Work
with Ronen Eldan.\n
LOCATION:https://stable.researchseminars.org/talk/paw/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Piotr Nayar (University of Warsaw\, Poland)
DTSTART:20200907T190000Z
DTEND:20200907T200000Z
DTSTAMP:20260404T111248Z
UID:paw/10
DESCRIPTION:Title: Sharp variance-entropy comparison for Gaussian quadratic forms\nby
Piotr Nayar (University of Warsaw\, Poland) as part of Probability and An
alysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gennady Uraltsev (University of Virginia)
DTSTART:20201019T190000Z
DTEND:20201019T200000Z
DTSTAMP:20260404T111248Z
UID:paw/11
DESCRIPTION:by Gennady Uraltsev (University of Virginia) as part of Probab
ility and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mariusz Mirek (Rutgers University)
DTSTART:20201116T200000Z
DTEND:20201116T210000Z
DTSTAMP:20260404T111248Z
UID:paw/12
DESCRIPTION:by Mariusz Mirek (Rutgers University) as part of Probability a
nd Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Treil (Brown University)
DTSTART:20201012T190000Z
DTEND:20201012T200000Z
DTSTAMP:20260404T111248Z
UID:paw/13
DESCRIPTION:by Sergei Treil (Brown University) as part of Probability and
Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bobby Wilson (University of Washington)
DTSTART:20201123T200000Z
DTEND:20201123T210000Z
DTSTAMP:20260404T111248Z
UID:paw/14
DESCRIPTION:by Bobby Wilson (University of Washington) as part of Probabil
ity and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oscar Dominguez Bonilla (Universidad Complutense de Madrid)
DTSTART:20201130T200000Z
DTEND:20201130T210000Z
DTSTAMP:20260404T111248Z
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://stable.researchseminars.org/talk/paw/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Volberg (Michigan State University)
DTSTART:20210125T200000Z
DTEND:20210125T210000Z
DTSTAMP:20260404T111248Z
UID:paw/16
DESCRIPTION:Title: Multi-parameter Poincaré inequality\, multi-parameter Carleson embedd
ing: Box condition versus Chang--Fefferman condition\nby Alexander Vol
berg (Michigan State University) as part of Probability and Analysis Webin
ar\n\n\nAbstract\nCarleson embedding theorem is a building block for many
singular integral operators and the main instrument in proving ``Leibniz r
ule" for fractional derivatives (Kato--Ponce\, Kenig). It is also an essen
tial step in all known ``corona theorems’’. Multi-parameter embedding
is a tool to prove more complicated Leibniz rules that are also widely use
d in well-posedness questions for various PDEs. Alternatively\, multi-para
meter embedding appear naturally in questions of embedding of spaces of an
alytic functions in polydisc into Lebesgue spaces with respect to a measur
e in the polydisc. \n\nCarleson embedding theorems often serve as a first
building block for interpolation in complex space and also for corona type
results. The embedding of spaces of holomorphic functions on n-polydisc c
an be reduced (without loss of information) to the boundedness of weight
ed multi-parameter dyadic Carleson embedding. We find the necessary and s
ufficient condition for this Carleson embedding in n-parameter case\, whe
n n is 1\, 2\, or 3. The main tool is the harmonic analysis on graphs wit
h cycles. The answer is quite unexpected and seemingly goes against the we
ll known difference between box and Chang--Fefferman condition that was gi
ven by Carleson quilts example of 1974. I will present results obtained jo
intly by Arcozzi\, Holmes\, Mozolyako\, Psaromiligkos\, Zorin-Kranich and
myself.\n
LOCATION:https://stable.researchseminars.org/talk/paw/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sudan Xing (University of Alberta)
DTSTART:20210201T200000Z
DTEND:20210201T210000Z
DTSTAMP:20260404T111248Z
UID:paw/17
DESCRIPTION:Title: On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for
measures\nby Sudan Xing (University of Alberta) as part of Probability
and Analysis Webinar\n\n\nAbstract\nhttps://drive.google.com/file/d/1ts9k
ydmwnZCgrg4FPovy3qQf1Kj6Rt7j/view\n
LOCATION:https://stable.researchseminars.org/talk/paw/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ohad Klein (Bar-Ilan University)
DTSTART:20210208T200000Z
DTEND:20210208T210000Z
DTSTAMP:20260404T111248Z
UID:paw/18
DESCRIPTION:Title: On the distribution of Randomly Signed Sums and Tomaszewski’s Conjec
ture\nby Ohad Klein (Bar-Ilan University) as part of Probability and A
nalysis Webinar\n\n\nAbstract\nA Rademacher sum $X$ is a random variable c
haracterized 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 indepe
ndent signs (uniformly selected from $\\{-1\, 1\\}$).\n\nA conjecture by B
ogusław Tomaszewski\, 1986: all Rademacher sums $X$ satisfy $$\\textup{Pr
}[ |X| \\leq \\sqrt {\\textup{Var}(X)} ] \\geq 1/2$$\n\nWe prove the conj
ecture\, and discuss other ways in which Rademacher sums behave like norma
lly distributed variables.\n\nJoint work with Nathan Keller.\n
LOCATION:https://stable.researchseminars.org/talk/paw/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Galyna Livshyts (Georgia Institute of Technology)
DTSTART:20210215T200000Z
DTEND:20210215T210000Z
DTSTAMP:20260404T111248Z
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://stable.researchseminars.org/talk/paw/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rupert Frank (Caltech)
DTSTART:20210222T200000Z
DTEND:20210222T210000Z
DTSTAMP:20260404T111248Z
UID:paw/20
DESCRIPTION:Title: Lieb-Thirring bounds and other inequalities for orthonormal functions<
/a>\nby Rupert Frank (Caltech) as part of Probability and Analysis Webinar
\n\n\nAbstract\nWe discuss extensions of several inequalities in harmonic
analysis to the setting of families of orthonormal functions. While the ca
se of Sobolev-type inequalities is classical\, newer results concern the S
trichartz inequality\, the Stein-Tomas inequality and Sogge’s spectral c
luster estimates\, among others. Of particular interest is the dependence
of the constants in the resulting bounds on the number of functions and we
will present some optimal results. \n \nThe talk is based on joint work w
ith Julien Sabin.\n
LOCATION:https://stable.researchseminars.org/talk/paw/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicholas Cook (Duke University)
DTSTART:20210301T200000Z
DTEND:20210301T210000Z
DTSTAMP:20260404T111248Z
UID:paw/21
DESCRIPTION:Title: Universality for the minimum modulus of random trigonometric polynomia
ls\nby Nicholas Cook (Duke University) as part of Probability and Anal
ysis Webinar\n\n\nAbstract\nWe consider the restriction to the unit circle
of random degree-n polynomials with iid coefficients (Kac polynomials). R
ecent work of Yakir and Zeitouni shows that for Gaussian coefficients\, th
e minimum modulus (suitably rescaled) follows a limiting exponential distr
ibution. We show this is a universal phenomenon\, extending their result t
o arbitrary sub-Gaussian coefficients\, such as Rademacher signs. Our appr
oach relates the joint distribution of small values at several angles to t
hat of a random walk in high-dimensional phase space\, for which we obtain
strong central limit theorems. The case of discrete coefficients is parti
cularly challenging as the distribution is then sensitive to arithmetic st
ructure among the angles. Based on joint work with Hoi Nguyen.\n
LOCATION:https://stable.researchseminars.org/talk/paw/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mateusz Kwaśnicki (Wrocław University of Science and Technolo
gy)
DTSTART:20210308T200000Z
DTEND:20210308T210000Z
DTSTAMP:20260404T111248Z
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://stable.researchseminars.org/talk/paw/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Heilman (University of Southern California)
DTSTART:20210315T190000Z
DTEND:20210315T200000Z
DTSTAMP:20260404T111248Z
UID:paw/23
DESCRIPTION:by Steven Heilman (University of Southern California) as part
of Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandros Eskenazis (University of Cambridge\, UK)
DTSTART:20210329T190000Z
DTEND:20210329T200000Z
DTSTAMP:20260404T111248Z
UID:paw/24
DESCRIPTION:Title: Metric Influence inequalities\nby Alexandros Eskenazis (University
of Cambridge\, UK) as part of Probability and Analysis Webinar\n\n\nAbstr
act\nTalagrand's influence inequality (1994) is an asymptotic improvement
of the classical Poincaré inequality on the Hamming cube with numerous ap
plications to Boolean analysis\, discrete probability theory and geometric
functional analysis. In this talk\, we shall introduce a metric space-val
ued version of Talagrand's inequality and show its validity for some natur
al classes of spaces. Emphasis will be given to the probabilistic aspects
of the proofs. We will also explain a geometric application of this metric
invariant to the bi-Lipschitz embeddability of a natural family of finite
metrics and mention related open problems. The talk is based on joint wor
k with D. Cordero-Erausquin.\n
LOCATION:https://stable.researchseminars.org/talk/paw/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Pivovarov (University of Missouri)
DTSTART:20210405T190000Z
DTEND:20210405T200000Z
DTSTAMP:20260404T111248Z
UID:paw/25
DESCRIPTION:by Peter Pivovarov (University of Missouri) as part of Prob
ability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sarah Peluse (Princeton University/IAS)
DTSTART:20210426T190000Z
DTEND:20210426T200000Z
DTSTAMP:20260404T111248Z
UID:paw/26
DESCRIPTION:Title: On the polynomial Szemer\\'edi theorem and related results\nby Sar
ah Peluse (Princeton University/IAS) as part of Probability and Analysi
s Webinar\n\n\nAbstract\nIn this talk\, I'll survey recent progress on pro
blems in additive combinatorics\, harmonic analysis\, and ergodic theory r
elated to Bergelson and Leibman's polynomial generalization of Szemer\\'ed
i's theorem.\n
LOCATION:https://stable.researchseminars.org/talk/paw/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Dragičević (University of Ljubljana)
DTSTART:20210503T190000Z
DTEND:20210503T200000Z
DTSTAMP:20260404T111248Z
UID:paw/27
DESCRIPTION:Title: Trilinear embedding theorem for elliptic partial differential operator
s in divergence form with complex coefficients\nby Oliver Dragičević
(University of Ljubljana) as part of Probability and Analysis Webinar\n\n
\nAbstract\nWe introduce the notion of p-ellipticity of a complex matrix f
unction and discuss basic examples where it plays a major role\, as well a
s the techniques that led to the introduction of the notion. In the second
part of the talk we focus on a so-called trilinear embedding theorem for
complex elliptic operators and its corollaries. The talk is based on colla
boration with Andrea Carbonaro (U. Genova) and Vjekoslav Kovač and Kristi
na Škreb (U. Zagreb).\n
LOCATION:https://stable.researchseminars.org/talk/paw/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theresa Anderson (Purdue University)
DTSTART:20210322T190000Z
DTEND:20210322T200000Z
DTSTAMP:20260404T111248Z
UID:paw/28
DESCRIPTION:by Theresa Anderson (Purdue University) as part of Probability
and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vishesh Jain (Stanford University)
DTSTART:20210419T190000Z
DTEND:20210419T200000Z
DTSTAMP:20260404T111248Z
UID:paw/29
DESCRIPTION:Title: On the real Davies' conjecture\nby Vishesh Jain (Stanford Universi
ty) as part of Probability and Analysis Webinar\n\n\nAbstract\nWe show tha
t 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 eigenvecto
rs have condition number $\\tilde{O}(\\text{poly}(n)/\\delta)$. In fact\,
we show that with high probability\, an additive i.i.d. sub-Gaussian pertu
rbation of $A$ has this property. Up to log factors\, this confirms a spec
ulation of E.B. Davies. \n\nBased on joint work with Ashwin Sah (MIT) and
Mehtaab Sawhney (MIT).\n
LOCATION:https://stable.researchseminars.org/talk/paw/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joris Roos (University of Massachusetts-Lowell)
DTSTART:20210510T190000Z
DTEND:20210510T200000Z
DTSTAMP:20260404T111248Z
UID:paw/30
DESCRIPTION:by Joris Roos (University of Massachusetts-Lowell) as part of
Probability and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stanislaw Szarek (Case Western Reserve University/Sorbonne Univers
ite)
DTSTART:20210412T190000Z
DTEND:20210412T200000Z
DTSTAMP:20260404T111248Z
UID:paw/31
DESCRIPTION:Title: Generalized probabilistic theories and tensor products of normed space
s\nby Stanislaw Szarek (Case Western Reserve University/Sorbonne Unive
rsite) as part of Probability and Analysis Webinar\n\n\nAbstract\nGenerali
zed Probabilistic Theories (GPTs) form an abstract framework to describe t
heories of nature that have probabilistic features. A GPT must specify the
set of states purporting to represent the physical reality\, the allowabl
e measurements\, the rules for outcome statistics of the latter\, and the
composition rules describing what happens when we merge subsystems and cre
ate a larger system. Examples include classical probability and quantum t
heory.\nThe composition rules alluded to above usually involve tensor prod
ucts and\, in some formulations\, normed spaces. Among tensor products of
normed spaces that have operational meaning in the GPT context\, the proj
ective and the injective product are the extreme ones\, which leads to the
natural question "How much do they differ?" considered already by Groth
endieck and Pisier (in the 1950s and 1980s). Surprisingly\, no systematic
quantitative analysis of the finite-dimensional case seems to have ever b
een made. We show that the projective/injective discrepancy is always lowe
r-bounded by the power of the (smaller) dimension\, with the exponent depe
nding on the generality of the setup. Some of the results are essentially
optimal\, but others can be likely improved. The methods involve a wide ra
nge of techniques from geometry of Banach spaces and random matrices.\nJoi
nt work with G. Aubrun\, L. Lami\, C. Palazuelos\, A. Winter.\n
LOCATION:https://stable.researchseminars.org/talk/paw/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gergely Ambrus (Alfréd Rényi Institute of Mathematics and Univer
sity of Szeged)
DTSTART:20210920T190000Z
DTEND:20210920T200000Z
DTSTAMP:20260404T111248Z
UID:paw/32
DESCRIPTION:Title: Strongly Convex Chains\nby Gergely Ambrus (Alfréd Rényi Institut
e of Mathematics and University of Szeged) as part of Probability and Anal
ysis Webinar\n\n\nAbstract\nIt is a classical question to study the length
of the longest monotone increasing subsequence in a random permutation on
n elements\, which has been studied for over half a century. From the geo
metric viewpoint\, the question asks for the maximal number of points in a
random sample of n uniform\, independent points in a unit square which fo
rm an increasing chain. Based on this geometric intuition\, one may study
the maximal number of points (called the length) which form a convex chain
\, along with two fixed vertices of the unit square. In a joint work with
Imre Bárány\, we determined the asymptotic order of magnitude of the len
gth of the longest convex chain\, proved strong concentration estimates an
d a limit shape result. In a recent work\, I studied the analogous questio
n for higher order convexity\, and managed to determine the expected lengt
h in this case as well (which turns out to be very aesthetic)\, along with
concentration properties. In the talk I will give a survey of these resul
ts and present several open questions and further research directions.\n
LOCATION:https://stable.researchseminars.org/talk/paw/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Bortz (University of Alabama)
DTSTART:20210927T190000Z
DTEND:20210927T200000Z
DTSTAMP:20260404T111248Z
UID:paw/33
DESCRIPTION:Title: FKP meets DKP\nby Simon Bortz (University of Alabama) as part of P
robability and Analysis Webinar\n\n\nAbstract\nIn the 80’s Dahlberg aske
d two questions regarding the `$L^p$ – solvability’ of elliptic equati
ons with variable coefficients. Dahlberg’s first question was whether $L
^p$ solvability was maintained under `Carleson-perturbations’ of the coe
fficients. This question was answered by Fefferman\, Kenig and Pipher [FKP
]\, where they also introduced new characterizations of $A_\\infty$\, reve
rse-Hölder and $A_p$ weights. These characterizations were used to create
a counterexample to show their theorem was sharp.\n \nDahlberg’s second
question was whether a Carleson gradient/oscillation condition (the `DKP
condition’) was enough to imply $L^p$ solvability for some p > 1. This w
as answered by Kenig and Pipher [KP] and refined by Dindos\, Petermichl an
d Pipher [DPP] (in the `small constant’ case). These $L^p$ solvability
results can be interpreted in terms of a reverse Hölder condition for the
elliptic kernel and therefore connected with the $A_\\infty$ condition. I
n this talk\, we discuss L^p solvability for a class of coefficients that
satisfies a `weak DKP condition’. In particular\, we connect the (weak)
DKP condition to the characterization of $A_\\infty$ in [FKP]. This allows
us to treat the `large’\, `small’ and ‘vanishing’ (weak) DKP cond
itions simultaneously and independently from the works [KP] and [DPP]. \n
\nThis is joint work with my co-authors Egert\, Saari\, Toro and Zhao. A p
roof of the main estimate will be sketched\, but technical details will be
avoided.\n
LOCATION:https://stable.researchseminars.org/talk/paw/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marina Iliopoulou (University of Kent)
DTSTART:20211004T190000Z
DTEND:20211004T200000Z
DTSTAMP:20260404T111248Z
UID:paw/34
DESCRIPTION:Title: Sharp L^p estimates for oscillatory integral operators of arbitrary si
gnature\nby Marina Iliopoulou (University of Kent) as part of Probabil
ity and Analysis Webinar\n\n\nAbstract\nThe restriction problem in harmoni
c analysis asks for L^p bounds on the Fourier transform of functions defin
ed on curved surfaces. In this talk\, we will present improved restriction
estimates for hyperbolic paraboloids\, that depend on the signature of th
e paraboloids. These estimates still hold\, and are sharp\, in the variabl
e coefficient regime. This is joint work with Jonathan Hickman.\n
LOCATION:https://stable.researchseminars.org/talk/paw/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Charles Bordenave (Institute of Mathematics of Marseille)
DTSTART:20211011T190000Z
DTEND:20211011T200000Z
DTSTAMP:20260404T111248Z
UID:paw/35
DESCRIPTION:Title: Strong asymptotic freeness for independent uniform variables on compac
t groups\nby Charles Bordenave (Institute of Mathematics of Marseille)
as part of Probability and Analysis Webinar\n\n\nAbstract\nAsymptotic fre
eness of independent Haar distributed unitary matrices was discovered by V
oiculescu. Many refinements have been obtained\, including strong asymptot
ic freeness of random unitaries and strong asymptotic freeness of random p
ermutations acting on the orthogonal of the Perron-Frobenius eigenvector.
In this talk\, we consider a new matrix unitary model appearing naturally
from representation theory of compact groups. We fix a non-trivial signatu
re\, i.e. two finite sequences of non-increasing natural numbers\, and for
n large enough\, consider the irreducible representation of Un associated
to this signature. We show that strong asymptotic freeness holds in this
generalized context when drawing independent copies of the Haar measure. W
e also obtain the orthogonal variant of this result. This is a joint work
with Benoît Collins.\n
LOCATION:https://stable.researchseminars.org/talk/paw/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cristina Benea (University of Nantes)
DTSTART:20211018T190000Z
DTEND:20211018T200000Z
DTSTAMP:20260404T111248Z
UID:paw/36
DESCRIPTION:Title: The non-resonant bilinear Hilbert-Carleson operator\nby Cristina B
enea (University of Nantes) as part of Probability and Analysis Webinar\n\
n\nAbstract\nWe introduce a new class of bilinear operators BC_a acting as
a merger between two classical objects in harmonic analysis: the bilinear
Hilbert transform and the linear Carleson-Stein-Wainger operator. The two
opposing features (modulation invariance versus modulation of the kernel
by a monomial phase with space-depending coefficients) of BC_a require a t
wo-resolutions analysis and the use of a dilated time-frequency portrait.
This is joint work with F. Bernicot\, V. Lie\, M. Vitturi.\n
LOCATION:https://stable.researchseminars.org/talk/paw/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pavel Zorin-Kranich (University of Bonn)
DTSTART:20211025T190000Z
DTEND:20211025T200000Z
DTSTAMP:20260404T111248Z
UID:paw/37
DESCRIPTION:Title: Variational estimates for martingale transforms\nby Pavel Zorin-Kr
anich (University of Bonn) as part of Probability and Analysis Webinar\n\n
\nAbstract\nI will present Lp estimates for joint rough path lifts of mart
ingales and deterministic paths. For motivation\, I will also present some
rudiments of rough integration theory\, which is the deterministic versio
n of stochastic integration.\n
LOCATION:https://stable.researchseminars.org/talk/paw/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brett Wick (Washington University in St. Louis)
DTSTART:20211101T190000Z
DTEND:20211101T200000Z
DTSTAMP:20260404T111248Z
UID:paw/38
DESCRIPTION:Title: Singular Integral Operators on the Fock Space\nby Brett Wick (Wash
ington University in St. Louis) as part of Probability and Analysis Webina
r\n\n\nAbstract\nIn this talk we will discuss the recent solution of a que
stion raised by K. Zhu about characterizing a class of singular integral o
perators on the Fock space. We show that for an entire function $\\varphi
$ belonging to the Fock space ${\\mathscr F}^2(\\mathbb{C}^n)$ on the com
plex Euclidean 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\\mathbb{C}^n.\n\\]\nHere $d\\lambda(w)=\\pi^{-n}e^{-\\left\\vert w\\r
ight\\vert^2}dw$ is the Gaussian measure on $\\mathbb C^n$.\n\nWith this c
haracterization we are able to obtain some fundamental results of the oper
ator $S_\\varphi$\, including the normality\, the $C^*$ algebraic properti
es\, the spectrum and its compactness. Moreover\, we obtain the reducing
subspaces of $S_{\\varphi}$.\n\nIn particular\, in the case $n=1$\, this g
ives a complete solution to the question proposed by K. Zhu for the Fock s
pace ${\\mathscr F}^2(\\mathbb{C})$\non the complex plane ${\\mathbb C}$ (
Integr. Equ. Oper. Theory {\\bf 81} (2015)\, 451--454).\n\nThis talk is
based on joint work with Guangfu Cao\, Ji Li\, Minxing Shen\, and Lixin Ya
n.\n
LOCATION:https://stable.researchseminars.org/talk/paw/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stefanie Petermichl (Universität Würzburg)
DTSTART:20211108T200000Z
DTEND:20211108T210000Z
DTSTAMP:20260404T111248Z
UID:paw/39
DESCRIPTION:Title: Good and Bad Maximal Functions\nby Stefanie Petermichl (Universit
ät Würzburg) as part of Probability and Analysis Webinar\n\n\nAbstract\n
In a joint work with Nazarov\, Skreb and Treil\, we highlight a marked dif
ference in the presence of a matrix weight between the Doob type maximal o
perator in the dyadic setting and the dyadic Hardy-Littlewood type maximal
operator. The former is $L^2$ bounded while the latter is not.\n
LOCATION:https://stable.researchseminars.org/talk/paw/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcin Bownik (University of Oregon)
DTSTART:20211122T190000Z
DTEND:20211122T200000Z
DTSTAMP:20260404T111248Z
UID:paw/40
DESCRIPTION:Title: Simultaneous dilation and translation tilings of $\\R^n$\nby Marci
n Bownik (University of Oregon) as part of Probability and Analysis Webina
r\n\n\nAbstract\nIn this talk we present a solution of the wavelet set pro
blem. That is\, we characterize full-rank lattices $\\Gamma\\subset \\R^n$
and invertible $n \\times n$ matrices $A$ for which there exists a measur
able set $W$ such that $\\{W + \\gamma: \\gamma \\in \\Gamma\\}$ and $\\{A
^j(W): j\\in \\Z\\}$ are tilings of $\\R^n$. The characterization is a no
n-obvious generalization of the one found by Ionascu and Wang\, which solv
ed the problem in the case $n = 2$. As an application of our condition a
nd a theorem of Margulis\, we also strengthen a result of Dai\, Larson\, a
nd the second author on the existence of wavelet sets by showing that wave
let sets exist for matrix dilations\, all of whose eigenvalues $\\lambda$
satisfy $|\\lambda| \\ge 1$. As another application\, we show that the Ion
ascu-Wang characterization characterizes those dilations whose product of
two smallest eigenvalues in absolute value is $\\ge 1$.\n> Based on a join
t work with Darrin Speegle.\n
LOCATION:https://stable.researchseminars.org/talk/paw/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joe Neeman (UT Austin)
DTSTART:20211129T200000Z
DTEND:20211129T210000Z
DTSTAMP:20260404T111248Z
UID:paw/41
DESCRIPTION:by Joe Neeman (UT Austin) as part of Probability and Analysis
Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ioana Dumitriu (UC San Diego)
DTSTART:20211206T200000Z
DTEND:20211206T210000Z
DTSTAMP:20260404T111248Z
UID:paw/42
DESCRIPTION:by Ioana Dumitriu (UC San Diego) as part of Probability and An
alysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Seeger (University of Wisconsin-Madison)
DTSTART:20220221T200000Z
DTEND:20220221T210000Z
DTSTAMP:20260404T111248Z
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 Analys
is Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonathan Hickman (University of Edinburgh)
DTSTART:20220228T200000Z
DTEND:20220228T210000Z
DTSTAMP:20260404T111248Z
UID:paw/44
DESCRIPTION:Title: Kakeya maximal estimates via real algebraic geometry\nby Jonathan
Hickman (University of Edinburgh) as part of Probability and Analysis Webi
nar\n\n\nAbstract\nThe Kakeya (maximal) conjecture concerns how collection
s of long\, thin tubes which point in different directions can overlap. Su
ch geometric problems underpin the behaviour of various important oscillat
ory integral operators and\, consequently\, understanding the Kakeya conje
cture is 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 t
ools from the theory of semialgebraic sets to yield new partial results on
the Kakeya conjecture. Also\, more recent work with J. Zahl has used thes
e methods to improve the range of estimates on the Fourier restriction con
jecture.\n
LOCATION:https://stable.researchseminars.org/talk/paw/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kristina Skreb (University of Zagreb)
DTSTART:20220307T200000Z
DTEND:20220307T210000Z
DTSTAMP:20260404T111248Z
UID:paw/45
DESCRIPTION:Title: Bilinear embedding in Orlicz spaces for divergence-form operators with
complex coefficients\nby Kristina Skreb (University of Zagreb) as par
t of Probability and Analysis Webinar\n\n\nAbstract\nWe will discuss a bi(
sub)linear embedding for semigroups generated by\nnon-smooth complex-coeff
icient elliptic operators in divergence form\nand for certain mutually dua
l pairs of Orlicz-space norms. This\ngeneralizes a result by Carbonaro and
Dragičević from power functions\nto more general Young functions that s
till behave like powers. To\nachieve this\, we generalize a classic Bellma
n function constructed by\nNazarov and Treil. The talk is based on joint w
ork with Vjekoslav\nKovač.\n
LOCATION:https://stable.researchseminars.org/talk/paw/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andreas Defant (Carl von Ossietzky Universität Oldenburg)
DTSTART:20220314T190000Z
DTEND:20220314T200000Z
DTSTAMP:20260404T111248Z
UID:paw/46
DESCRIPTION:Title: George Boole meets Harald Bohr\nby Andreas Defant (Carl von Ossiet
zky Universität Oldenburg) as part of Probability and Analysis Webinar\n\
n\nAbstract\nAbstract at\n\nhttps://drive.google.com/file/d/1nthExFGMrwciZ
dE6c3_ifamLC3JPwZF0/view\n
LOCATION:https://stable.researchseminars.org/talk/paw/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Evita Nestoridi (Princeton)
DTSTART:20220321T190000Z
DTEND:20220321T200000Z
DTSTAMP:20260404T111248Z
UID:paw/47
DESCRIPTION:Title: Limit Profiles of Reversible Markov chains\nby Evita Nestoridi (Pr
inceton) as part of Probability and Analysis Webinar\n\n\nAbstract\nIt all
began with card shuffling. Diaconis and Shahshahani studied the random tr
anspositions shuffle\; pick two cards uniformly at random and swap them. T
hey introduced 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\, Teyssie
r extended this technique to study the exact shape of the total variation
distance of the transition matrix at the cutoff time from the stationary m
easure\, giving rise to the notion of a limit profile. In this talk\, I am
planning to discuss a joint work with Olesker-Taylor\, which extends the
above technique from conjugacy invariant random walks to general\, revers
ible Markov chains. I will also present a new technique that allows to stu
dy the limit profile of star transpositions\, which turns out to have the
same limit profile as random transpositions.\n
LOCATION:https://stable.researchseminars.org/talk/paw/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diogo Oliveira e Silva (Instituto Superior Técnico\, Lisboa)
DTSTART:20220328T190000Z
DTEND:20220328T200000Z
DTSTAMP:20260404T111248Z
UID:paw/48
DESCRIPTION:Title: Sharp restriction theory: rigidity\, stability\, and symmetry breaking
\nby Diogo Oliveira e Silva (Instituto Superior Técnico\, Lisboa) as
part of Probability and Analysis Webinar\n\n\nAbstract\nWe report on recen
t progress concerning two distinct problems in sharp restriction theory to
the unit sphere.\nFirstly\, the classical estimate of Agmon-Hörmander fo
r the adjoint restriction operator to the sphere is in general not saturat
ed by constants. We describe the surprising intermittent behaviour exhibit
ed by the optimal constant and the space of maximizers\, both for the ineq
uality itself and for a stable form thereof.\nSecondly\, the Stein-Tomas i
nequality on the sphere is rigid in the following rather strong sense: con
stants continue to maximize the weighted inequality as long as the perturb
ation is sufficiently small and regular\, in a precise sense to be discuss
ed. We present several examples highlighting why such assumptions are natu
ral\, and describe some consequences to the (mostly unexplored) higher dim
ensional setting.\nThis talk is based on joint work with E. Carneiro and G
. Negro.\n
LOCATION:https://stable.researchseminars.org/talk/paw/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dor Minzer (MIT)
DTSTART:20220404T190000Z
DTEND:20220404T200000Z
DTSTAMP:20260404T111248Z
UID:paw/49
DESCRIPTION:by Dor Minzer (MIT) as part of Probability and Analysis Webina
r\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alina Stancu (Concordia University)
DTSTART:20220411T190000Z
DTEND:20220411T200000Z
DTSTAMP:20260404T111248Z
UID:paw/50
DESCRIPTION:by Alina Stancu (Concordia University) as part of Probability
and Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José Ramón Madrid Padilla (UCLA)
DTSTART:20220418T190000Z
DTEND:20220418T200000Z
DTSTAMP:20260404T111248Z
UID:paw/51
DESCRIPTION:by José Ramón Madrid Padilla (UCLA) as part of Probability a
nd Analysis Webinar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/paw/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olli Saari (Universität Bonn)
DTSTART:20220425T190000Z
DTEND:20220425T200000Z
DTSTAMP:20260404T111248Z
UID:paw/52
DESCRIPTION:Title: Phase space projections\nby Olli Saari (Universität Bonn) as part
of Probability 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 or
thonormal basis for a subspace of L2. There exists a related projection op
erator\, which has been an important tool for dyadic models of the bilinea
r Hilbert transform. Extending such an approach to the Fourier model is st
rictly speaking not possible\, but satisfactory substitutes can be constru
cted. This approach was pursued by Muscalu\, Tao and Thiele (2002) for pro
ving uniform bounds for multilinear singular integrals with modulation sym
metry in dimension one. I discuss a multidimensional variant of the proble
m. This is based on joint work with Marco Fraccaroli and Christoph Thiele.
\n
LOCATION:https://stable.researchseminars.org/talk/paw/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vjekoslav Kovac (University of Zagreb)
DTSTART:20220502T190000Z
DTEND:20220502T200000Z
DTSTAMP:20260404T111248Z
UID:paw/53
DESCRIPTION:Title: Lower bounds for the L^p norms of some Fourier multipliers\nby Vje
koslav Kovac (University of Zagreb) as part of Probability and Analysis We
binar\n\n\nAbstract\nQuite often we wonder about the sharpness of estimate
s for certain singular integral operators. In theory\, their sharpness can
be confirmed by constructing extremizers or approximate extremizers\, but
\, in practice\, such extremizers might not be obvious\, or they might be
impossibly complicated to work with. In this talk we will discuss a reason
ably general way of proving lower bounds for the exact $L^p$ norms of unim
odular homogeneous Fourier multipliers. We will then apply it to solve thr
ee open problems: one by Iwaniec and Martin (from 1996) on the powers of t
he complex Riesz transform\, one by Maz'ya (traced back to the 1970s) on m
ultipliers with smooth phases\, and one by Dragičević\, Petermichl\, and
Volberg (from 2006) on the two-dimensional Riesz group. This is joint wor
k with Aleksandar Bulj\, Andrea Carbonaro\, and Oliver Dragičević.\n
LOCATION:https://stable.researchseminars.org/talk/paw/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Strzelecka (University of Graz)
DTSTART:20220124T200000Z
DTEND:20220124T210000Z
DTSTAMP:20260404T111248Z
UID:paw/54
DESCRIPTION:Title: Norms of structured random matrices\nby Marta Strzelecka (Universi
ty of Graz) as part of Probability and Analysis Webinar\n\n\nAbstract\nWe
consider the structured Gaussian matrix G_A=(a_{ij}g_{ij})\, where g_{ij}'
s are independent standard Gaussian variables. The exact behavior of the s
pectral norm of the structured Gaussian matrix is known due to the result
of Latala\, van Handel\, and Youssef from 2018. We are interested in two-s
ided bounds for the expected value of the norm of G_A treated as an operat
or from l_p^n to l_q^m. We conjecture the sharp estimates expressed only i
n the terms 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 the multiplicative constant depending linearly on a certain (small)
power of ln(mn). This is joint work with Radoslaw Adamczak\, Joscha Prochn
o\, and Michal Strzelecki.\n
LOCATION:https://stable.researchseminars.org/talk/paw/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Melbourne (CIMAT)
DTSTART:20220131T200000Z
DTEND:20220131T210000Z
DTSTAMP:20260404T111248Z
UID:paw/55
DESCRIPTION:Title: On a reversal of Lyapunov's inequality for log-concave sequences\n
by James Melbourne (CIMAT) as part of Probability and Analysis Webinar\n\n
\nAbstract\nLog-concave sequences appear naturally in a variety of fields.
For example in convex geometry the Alexandrov-Fenchel inequalities demons
trate the intrinsic volumes of a convex body to be log-concave\, while in
combinatorics the resolution of the Mason conjecture shows that the number
of independent 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-t
h power) of the L^p norm of a function with respect to an arbitrary measur
e\, an immediate consequence of Holder's inequality. In the continuous set
ting measure spaces satisfying concavity conditions are known to satisfy a
sort of concavity reversal of both Lyapunov's inequality\, due to Borell\
, while the Prekopa-Leindler inequality gives a reversal of Holder. These
inequalities are foundational in convex geometry\, give Renyi entropy com
parisons in information theory\, the Gaussian log-Sobolev inequality\, and
more generally the HWI inequality in optimal transport among other applic
ations. An analogous theory has been developing in the discrete setting.
In this talk we establish a reversal of Lyapunov's inequality for monoton
e log-concave sequences\, settling a conjecture of Havrilla-Tkocz and Melb
ourne-Tkocz. A strengthened version of the same conjecture is disproved th
rough counter-examples.\n
LOCATION:https://stable.researchseminars.org/talk/paw/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haojian Li (Baylor University)
DTSTART:20220207T200000Z
DTEND:20220207T210000Z
DTSTAMP:20260404T111248Z
UID:paw/56
DESCRIPTION:Title: Matrix-valued logarithmic Sobolev inequalities\nby Haojian Li (Bay
lor University) as part of Probability and Analysis Webinar\n\n\nAbstract\
nLogarithmic Sobolev inequalities (LSI) first were introduced by Gross in
1970s as an equivalent formulation of hypercontractivity. LSI have been w
ell studied in the past few decades and found applications to information
theory\, optimal transport\, and graphs theory. Recently matrix-valued LSI
have been an active area of research. Matrix-valued LSI of Lindblad opera
tors are closely related to decoherence of open quantum systems. In this
talk\, I will present recent results on matrix-valued LSI\, in particular
a geometric approach to matrix-valued LSI of Lindblad operators. This talk
is based on joint work with Li Gao\, Marius Junge\, and Nicholas LaRacuen
te.\n
LOCATION:https://stable.researchseminars.org/talk/paw/56/
END:VEVENT
END:VCALENDAR