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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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Seminar of Probability Group

Weekly research seminar




List of talks

  • 2024-01-25, 12:15, 3160

    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 nich na przykład (przy pewnych dodatkowych założ...

  • 2024-01-18, 12:15, 3160

    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 interesting case of q=1 and p tending to infinity. ...

  • 2023-12-14, 12:15, 3160

    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).   ...

  • 2023-12-07, 12:15, 3160

    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 for Ball’s cube slicing inequality (1986). The underpinning to ...

  • 2023-11-30, 12:15, 3160

    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 permutation on $n$ elements. We prove that under an appropriate space and time ...

  • 2023-11-23, 12:15, 3160

    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 appropriate small coverage of a random event describing the process sup...

  • 2023-11-16, 12:15, 3160

    Adam Osękowski (Uniwersytet Warszawski)

    Oszacowania dla paraproduktów i całek stochastycznych (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, pojawia się naturalne ...

  • 2023-11-09, 12:15, 3160

    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 complexity of a unitary matrix is the minimal number of "eleme...

  • 2023-10-26, 12:15, 3160

    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 based on constructing appropr...

  • 2023-10-12, 12:15, 3160

    Maciej Wiśniewolski

    Gaussian Multiplicative Chaos on balls: Laplace transforms, small deviations and some connections with maximal packing

    During my talk i will show some new representations of Laplace transforms of the Gaussian Multiplicative Chaos (GMC) on Euclidean balls in R^d. I will discuss the problem of small deviations of GMC and their lognormal asymptotic bounds. I will also present some ideas how to use GMC in the problem ...