BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Felipe Gonçalves (University of Bonn) DTSTART:20200831T190000Z DTEND:20200831T200000Z DTSTAMP:20260422T225825Z 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:20200914T190000Z DTEND:20200914T200000Z DTSTAMP:20260422T225825Z 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:20200921T190000Z DTEND:20200921T200000Z DTSTAMP:20260422T225825Z 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:20200928T190000Z DTEND:20200928T200000Z DTSTAMP:20260422T225825Z 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:20201005T190000Z DTEND:20201005T200000Z DTSTAMP:20260422T225825Z 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:20201026T190000Z DTEND:20201026T200000Z DTSTAMP:20260422T225825Z 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:20201102T200000Z DTEND:20201102T210000Z DTSTAMP:20260422T225825Z 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:20201109T200000Z DTEND:20201109T210000Z DTSTAMP:20260422T225825Z 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:20201207T200000Z DTEND:20201207T210000Z DTSTAMP:20260422T225825Z 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:20200907T190000Z DTEND:20200907T200000Z DTSTAMP:20260422T225825Z 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:20201019T190000Z DTEND:20201019T200000Z DTSTAMP:20260422T225825Z 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:20201116T200000Z DTEND:20201116T210000Z DTSTAMP:20260422T225825Z 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:20201012T190000Z DTEND:20201012T200000Z DTSTAMP:20260422T225825Z 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:20201123T200000Z DTEND:20201123T210000Z DTSTAMP:20260422T225825Z 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:20201130T200000Z DTEND:20201130T210000Z DTSTAMP:20260422T225825Z 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:20210125T200000Z DTEND:20210125T210000Z DTSTAMP:20260422T225825Z 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:20210201T200000Z DTEND:20210201T210000Z DTSTAMP:20260422T225825Z 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:20210208T200000Z DTEND:20210208T210000Z DTSTAMP:20260422T225825Z 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:20210215T200000Z DTEND:20210215T210000Z DTSTAMP:20260422T225825Z 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:20210222T200000Z DTEND:20210222T210000Z DTSTAMP:20260422T225825Z 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:20210301T200000Z DTEND:20210301T210000Z DTSTAMP:20260422T225825Z 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:20210308T200000Z DTEND:20210308T210000Z DTSTAMP:20260422T225825Z 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:20210315T190000Z DTEND:20210315T200000Z DTSTAMP:20260422T225825Z 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:20210329T190000Z DTEND:20210329T200000Z DTSTAMP:20260422T225825Z 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:20210405T190000Z DTEND:20210405T200000Z DTSTAMP:20260422T225825Z 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:20210426T190000Z DTEND:20210426T200000Z DTSTAMP:20260422T225825Z 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:20210503T190000Z DTEND:20210503T200000Z DTSTAMP:20260422T225825Z 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:20210322T190000Z DTEND:20210322T200000Z DTSTAMP:20260422T225825Z 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:20210419T190000Z DTEND:20210419T200000Z DTSTAMP:20260422T225825Z 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:20210510T190000Z DTEND:20210510T200000Z DTSTAMP:20260422T225825Z 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:20210412T190000Z DTEND:20210412T200000Z DTSTAMP:20260422T225825Z 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:20210920T190000Z DTEND:20210920T200000Z DTSTAMP:20260422T225825Z 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:20210927T190000Z DTEND:20210927T200000Z DTSTAMP:20260422T225825Z 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:20211004T190000Z DTEND:20211004T200000Z DTSTAMP:20260422T225825Z 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:20211011T190000Z DTEND:20211011T200000Z DTSTAMP:20260422T225825Z 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:20211018T190000Z DTEND:20211018T200000Z DTSTAMP:20260422T225825Z 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:20211025T190000Z DTEND:20211025T200000Z DTSTAMP:20260422T225825Z 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:20211101T190000Z DTEND:20211101T200000Z DTSTAMP:20260422T225825Z 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:20211108T200000Z DTEND:20211108T210000Z DTSTAMP:20260422T225825Z 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:20211122T190000Z DTEND:20211122T200000Z DTSTAMP:20260422T225825Z 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:20211129T200000Z DTEND:20211129T210000Z DTSTAMP:20260422T225825Z 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:20211206T200000Z DTEND:20211206T210000Z DTSTAMP:20260422T225825Z 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:20220221T200000Z DTEND:20220221T210000Z DTSTAMP:20260422T225825Z 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:20220228T200000Z DTEND:20220228T210000Z DTSTAMP:20260422T225825Z 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:20220307T200000Z DTEND:20220307T210000Z DTSTAMP:20260422T225825Z 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:20220314T190000Z DTEND:20220314T200000Z DTSTAMP:20260422T225825Z 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:20220321T190000Z DTEND:20220321T200000Z DTSTAMP:20260422T225825Z 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:20220328T190000Z DTEND:20220328T200000Z DTSTAMP:20260422T225825Z 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:20220404T190000Z DTEND:20220404T200000Z DTSTAMP:20260422T225825Z 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:20220411T190000Z DTEND:20220411T200000Z DTSTAMP:20260422T225825Z 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:20220418T190000Z DTEND:20220418T200000Z DTSTAMP:20260422T225825Z 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:20220425T190000Z DTEND:20220425T200000Z DTSTAMP:20260422T225825Z 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:20220502T190000Z DTEND:20220502T200000Z DTSTAMP:20260422T225825Z 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:20220124T200000Z DTEND:20220124T210000Z DTSTAMP:20260422T225825Z 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:20220131T200000Z DTEND:20220131T210000Z DTSTAMP:20260422T225825Z 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:20220207T200000Z DTEND:20220207T210000Z DTSTAMP:20260422T225825Z 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