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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

  • 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 …

  • Oct. 12, 2023, 12:15 p.m.
    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 …

  • Oct. 5, 2023, 12:15 p.m.
    Kunal Dutta (Uniwersytet Warszawski)
    Dimensionality Reduction for Persistent Homology with Gaussian Kernels
    Computing persistent homology using Gaussian kernels is useful in the domains of topological data analysis and machine learning. We consider a power distance version of the Gaussian kernel distance (GKPD) given by Phillips, Wang and …

  • May 25, 2023, 12:15 p.m.
    Rafał Latała (Uniwersytet Warszawski)
    Chevet's type inequality for subexponential Weibull processes and norms of random matrices with iid entries
    We will present a Chevet-type inequality for subexpontial Weibull processes and show how it may be applied to find two-sided bounds for operator \ell_p to \ell_q norms of random rectangular matrices with iid Weibull entries. …

  • May 18, 2023, 12:15 p.m.
    Alexandros Eskenazis (Sorbonne Université)
    Discrete logarithmic Sobolev inequalities in Banach spaces
    We shall discuss certain aspects of vector-valued harmonic analysis on the discrete hypercube. After presenting the geometric motivation behind such investigations, we will survey known results on the Poincaré inequality and Talagrand’s influence inequality. Then …

  • May 11, 2023, 12:15 p.m.
    Dominik Kutek (Uniwersytet Warszawski)
    On Orlicz spaces satisfying the Hoffmann-Jørgensen inequality
    We say that an Orlicz function \Psi satisfies the H-J inequality, if \| \sum_{k=1}^n X_k \|_{\Psi} \le C_{\Psi} ( \| \sum_{k=1}^n X_k \|_{L_1} + \| \max_{k \le n}\|X_k\| \|_{\Psi}) for any collection \{X_k\}_{k \le n} …

  • April 27, 2023, 12:15 p.m.
    Piotr Nayar (Uniwersytet Warszawski)
    Maximal sections of l_p^n balls for large values of p.
    Let B_p^n be the unit ball in the standard p-th norm in R^n. Suppose we intersect this ball with a codimension one hyperplane H and ask the following question: for which H is the volume …

  • April 13, 2023, 12:15 p.m.
    Michał Strzelecki (Uniwersytet Warszawski)
    The s-numbers of Schatten class embeddings
    Roughly speaking, the s-numbers of a linear operator between two Banach spaces are certain quantities which indicate how compact this operator is. One can introduce various sequences of s-numbers (classical examples include the approximation and …

  • March 30, 2023, 12:15 p.m.
    Witold Bednorz (Uniwersytet Warszawski)
    Smoothed Analysis of the Komlos Conjecture
    Last year, a new result appeared towards the solution of the well-known Komlos conjecture. The conjecture says that given n vectors in R^d with Euclidean norm at most one, there is always a coloring ± …

  • March 23, 2023, 12:15 p.m.
    Adam Osękowski (Uniwersytet Warszawski)
    Inequalities for multilinear maximal operators
    Teoria operatorów wieloliniowych jest prężnie rozwijającym się działem analizy harmonicznej. W szczególności, oszacowania z wagą dla wieloliniowych funkcji maksymalnych, kwadratowych oraz operatorów singularnych były intensywnie badane w ciągu ostatnich dziesięciu lat. Celem odczytu będzie zaprezentowanie …

  • March 16, 2023, 12:15 p.m.
    Maciej Wiśniewolski (Uniwersytet Warszawski)
    On bivariate distributions of the local time of It\^o-McKean diffusions
    Denote as $L$ the local time at $0$ of an It\^o-McKean diffusion $X$. We present a new explicit description of the distribution of $L_t$ in terms of convolution exponent and, using the excursion theory, we …

  • March 9, 2023, 12:15 p.m.
    Stanisław Cichomski (Uniwersytet Warszawski)
    Coherent Distributions on the Square
    Let C denote the family of coherent distributions on [0,1]^2, i.e. all those probability measures m for which there exists a random vector (X,Y)~m such that X=P(E|G), Y=P(E|H) a.s. for some event E and sigma …