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Weekly research seminar
Organizers
- prof. dr hab. Rafał Latała
Information
Thursdays, 12:15 p.m. , room: 3160Home page
http://lists.mimuw.edu.pl/listinfo/sem-rpList of talks
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Nov. 7, 2024, 12:15 p.m.
Tomasz Tkocz
Convexity properties of sections and Rademacher sums (Convexity properties of sections and Rademacher sums)
I shall discuss certain convexity properties of hyperplane sections of 1-symmetric convex bodies as well as Rademacher sums, which are motivated by chessboard cutting problems and the logarithmic Brunn-Minkowski problem.
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Nov. 7, 2024, 12:15 p.m.
Peter Pivovarov (Univeristy of Missouri)
Stochastic methods in dual Brunn--Minkowski theory (Stochastic methods in dual Brunn--Minkowski theory)
The surface area of a convex body can be obtained as an average of the areas of its shadows (1-codimensional projections). In turn, the surface area is just one of the k-quermassintegrals of a convex …
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Oct. 31, 2024, 12:15 p.m.
Witold Bednorz (Uniwersytet Warszawski)
Some consequences of the new approach to positive stochastic processes. (Some consequences of the new approach to positive stochastic processes.)
In my talk I will explain our idea of an equivalent characterization of the supremum expectation of positive stochastic processes. Some consequences will be discussed, in particular for the Sudakov minoration for canonical processes based …
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Oct. 17, 2024, 12:15 p.m.
Rafał Latała (Uniwersytet Warszawski)
Operator \ell_p to \ell_q norms of structured Gaussian matrices (Operator \ell_p to \ell_q norms of structured Gaussian matrices)
We discuss two-sided bounds for operator \ell_p to \ell_q norms of structured Gaussian matrices in the case 1\le p\le 2\le q\leq \infty. Guédon, Hinrichs, Litvak and Prochno conjectured that an easy lower bound for the …
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Oct. 10, 2024, 12:15 p.m.
Adam Osękowski (Uniwersyte Warszawski)
Fefferman's inequality for analytic functions (Nierówność Feffermana dla funkcji analitycznych)
A classical result of harmonic analysis asserts that the dual space of the Hardy space H^1 on the unit circle T is the analytic space BMO(T). The purpose of the talk will be to identify …
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June 6, 2024, 12:15 p.m.
Kamil Szpojankowski (Politechnika Warszawska)
Warunkowe wartości oczekiwane dla wolnych zmiennych i związki z macierzami losowymi
Badania w wolnej probabilistyce od końca lat 90 skupiają się na narzędziach pochodzących z tzw. subordynacji wolnego splotu udowodnionej przez Biane'a, która mówi, że dla $X,Y$ wolnych $E((z-X-Y)^{-1}|X)=(\omega(z)-X)^{-1}. Do tej pory nieznane były narzędzia pozwalające …
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May 23, 2024, 12:15 p.m.
Paweł Hitczenko (Drexel University)
Asymptotics of a class of polynomial recurrences
We will consider sequences of polynomials defined by a recursion involving these polynomials and their first order derivatives. Recurrences like that are common in combinatorial probability and have been used and analyzed throughout the years. …
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May 16, 2024, 12:15 p.m.
Soumik Dutta (University of Warsaw)
On Edge Collapse of Random Simplicial Complexes
Edge collapse, introduced in [Boissonnat, Pritam. SoCG 2020], is a process to reduce the size of a simplicial complex while preserving its homology. We study the effect of edge collapse on the Erdos-Renyi random clique …
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May 9, 2024, 12:15 p.m.
Witold Bednorz (University of Warsaw)
Concentration of truncated variation for fractional Brownian motion
The talk will be about some new result that concerns bounding variation for fBM. In particular, I show some technique, due to Picard, which makes it possible to introduce some independence in studying similar questions. …
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April 18, 2024, 12:15 p.m.
Piotr Godlewski
Gram-Schmidt Walk algorithm and consequences for Komlós conjecture
Komlós conjecture states that minimal discrepancy of a set of vectors in R^d is bounded from above by a universal constant. I will present, by using a method called Gram-Schmidt Walk, how the best known …
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April 11, 2024, 12:15 p.m.
Daniel Murawski (Uniwersytet Warszawski)
Comparing moments of real log-concave random variables.
Log-concave random variables play an important role in probability theory. Moment comparison inequalities of the form ∥X∥_p ≤ C_{p,q}∥X∥_q are particularly useful in concentration of measure and convex geometry. In this talk, I will present …
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April 4, 2024, 12:15 p.m.
Rafał Latała (University of Warsaw)
Operator norm of Rademacher random matrices
We will discuss two-sided bounds for the mean value of the operator norm of random matrices with weighted Rademacher entries. We will recall a conjecture (formulated together with Witold Świątkowski) and show that it holds …
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March 21, 2024, 12:15 p.m.
Jacek Jakimiuk (Uniwersytet Warszawski)
Maximal sections of the unit ball of l^n_p(C) for p > 2
Eskenazis, Nayar and Tkocz have shown recently some resilience of Ball’s celebrated cube slicing theorem, namely its analogue in l^n_p for large p. I will show that the complex analogue, i.e. resilience of the polydisc …
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March 14, 2024, 12:15 p.m.
Stanisław Cichomski
On the existence of extreme coherent distributions with no atoms
I will talk about extreme points of C, the family of all two-variate coherent distributions on [0,1]^2. It is well-known that the set C is convex and weak∗ compact, and all extreme points of C …
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March 7, 2024, 12:15 p.m.
Adam Osękowski
A maximal inequality for a stopped two-parameter Brownian motion (Nierówność maksymalna dla zastopowanego dwuparametrowego procesu Wienera)
We will present some elements of a general theory of optimal stopping for processes indexed by partially ordered sets. As an example, we will discuss a certain estimate for a Wiener process indexed by [0,oo)^2.
