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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

  • 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 …

  • Nov. 23, 2023, 12:15 p.m.
    Witold Bednorz (Uniwersytet Warszawski)
    Estimating positive processes
    Recently, the Talagrand conjecture regarding selector processes has been proved: work by Pham and Park. This conjecture concerned the characterization of the expected value of the process supremum in terms of the existence of an …

  • Nov. 16, 2023, 12:15 p.m.
    Adam Osękowski (Uniwersytet Warszawski)
    Inequalities for paraproducts and stochastic integrals
    Paraprodukty to operatory pojawiające się w naturalny sposób w teorii całek singularnych; z grubsza rzecz ujmując, dowolny operator singularny daje się rozłożyć na sumę dwóch paraproduktów oraz zwykłego operatora splotowego. Z uwagi na ten fakt, …

  • Nov. 9, 2023, 12:15 p.m.
    Marcin Kotowski (CFT PAN)
    Circuit complexity of unitary evolutions generated by random GUE Hamiltonians
    I will present some applications of random matrix theory and concentration of measure on the unitary group to the problem of circuit complexity in quantum computing. Quantum time evolutions are described by unitary matrices. Circuit …

  • Oct. 26, 2023, 12:15 p.m.
    Rafał Martynek (Uniwersytet Warszawski)
    Lipschitz comparison for Bernoulli processes
    I’ll discuss an improvement of the recent result by Chu and Raginsky ( concerning comparison of the expected suprema of Bernoulli processes with respect to some Lipschitz mapping. Our result (together with Witold Bednorz) is …