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Seminar of Probability Group

Weekly research seminar



Thursdays, 12:15 p.m. , room: 3160

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List 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((z-X-Y)^{-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 Erdos-Renyi 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
    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 …

  • 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 …

  • 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 …

  • 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 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 …

  • March 7, 2024, 12:15 p.m.
    Adam Osękowski
    A maximal inequality for a stopped two-parameter 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 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 …

  • 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, Log-Sob, 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 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 …