Weekly research seminar
Organizers
 prof. dr hab. Rafał Latała
Information
Thursdays, 12:15 p.m. , room: 3160Home page
http://lists.mimuw.edu.pl/listinfo/semrpList of talks

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((zXY)^{1}X)=(\omega(z)X)^{1}. Do tej pory nieznane były narzędzia pozwalające …

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. …

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 ErdosRenyi random clique …

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. …

April 18, 2024, 12:15 p.m.
Piotr Godlewski
GramSchmidt 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 GramSchmidt Walk, how the best known …

April 11, 2024, 12:15 p.m.
Daniel Murawski (Uniwersytet Warszawski)
Comparing moments of real logconcave random variables.
Logconcave 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 …

April 4, 2024, 12:15 p.m.
Rafał Latała (University of Warsaw)
Operator norm of Rademacher random matrices
We will discuss twosided 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 …

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 …

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 twovariate coherent distributions on [0,1]^2. It is wellknown that the set C is convex and weak∗ compact, and all extreme points of C …

March 7, 2024, 12:15 p.m.
Adam Osękowski
A maximal inequality for a stopped twoparameter Brownian motion
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.

Jan. 25, 2024, 12:15 p.m.
Marta Strzelecka (Uniwersytet Warszawski)
Umiarkowane odchylenia lakunarnych sum trygonometrycznych
Wiadomo z klasycznych już dziś prac Kaca, Salema i Zygmunda oraz Erdősa i Gála, że zachowanie lakunarnych sum trygonometrycznych w wielu aspektach okazuje się być takie samo jak zachowanie sum niezależnych zmiennych losowych. Zachodzi dla …

Jan. 18, 2024, 12:15 p.m.
Krzysztof Oleszkiewicz (Uniwersytet Warszawski)
On the asymptotic behaviour of the optimal constants in the KhinchineKahane inequality
We will discuss some recent progress in understanding the asymptotic behaviour of the optimal constants in the KhinchineKahane inequality between pth and qth moments of Rademacher sums. The talk will mostly deal with the most …

Dec. 14, 2023, 12:15 p.m.
Bogusław Zegarliński (IM PAN)
Coercive inequalities for Gibbs measures
I will provide some review and present some new results concerning coercive inequalities (Poincare, LogSob, IFI) for finite and infinite dimensional systems (associated with some metric measure spaces).

Dec. 7, 2023, 12:15 p.m.
Tomasz Tkocz (Carnegie Mellon University)
Hardwired... to Szarek and Ball
I shall present an extension of Szarek’s optimal Khinchin inequality (1976) for distributions close to the Rademacher one when all the weights are uniformly bounded by a 1/√2 fraction of their total l_2 mass; similarly …

Nov. 30, 2023, 12:15 p.m.
Michał Kotowski (Uniwersytet Warszawski)
The local and global limit of the continuoustime Mallows process
The Mallows process is a process of random permutations whose marginal at time $t$ is the Mallows distribution with parameter $t$. It can be thought of as interpolating between the identity permutation and the reverse …