Organizatorzy

prof. dr hab. Rafał Latała

Informacje

czwartki, 12:15 , sala: 3160

Strona domowa

http://lists.mimuw.edu.pl/listinfo/sem-rp

Lista referatów

6 czerwca 2024 12:15
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 …
23 maja 2024 12:15
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. …
16 maja 2024 12:15
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 …
9 maja 2024 12:15
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. …
18 kwietnia 2024 12:15
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 …
11 kwietnia 2024 12:15
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 …
4 kwietnia 2024 12:15
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 …
21 marca 2024 12:15
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 …
14 marca 2024 12:15
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 …
7 marca 2024 12:15
Adam Osękowski
Nierówność maksymalna dla zastopowanego dwuparametrowego procesu Wienera (A maximal inequality for a stopped two-parameter Brownian motion)
Zaprezentujemy elementy ogólnej teorii optymalnego stopowania dla procesów indeksowanych zbiorami częściowo uporządkowanymi. Jako przykład, omówimy pewne optymalne oszacowanie dla procesu Wienera indeksowanego zbiorem [0,oo)^2.
25 stycznia 2024 12:15
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 …
18 stycznia 2024 12:15
Krzysztof Oleszkiewicz (Uniwersytet Warszawski)
On the asymptotic behaviour of the optimal constants in the Khinchine-Kahane inequality
We will discuss some recent progress in understanding the asymptotic behaviour of the optimal constants in the Khinchine-Kahane inequality between p-th and q-th moments of Rademacher sums. The talk will mostly deal with the most …
14 grudnia 2023 12:15
Bogusław Zegarliński (IM PAN)
Coercive inequalities for Gibbs measures
I will provide some review and present some new results concerning coercive inequalities (Poincare, Log-Sob, IFI) for finite and infinite dimensional systems (associated with some metric measure spaces).
7 grudnia 2023 12:15
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 …
30 listopada 2023 12:15
Michał Kotowski (Uniwersytet Warszawski)
The local and global limit of the continuous-time 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 …