Organizers

prof. dr hab. Rafał Latała

Information

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

Home page

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

List of talks

March 7, 2024, 12:15 p.m.
Adam Osękowski
A maximal inequality for a stopped two-parameter Brownian motion (Nierówność maksymalna dla zastopowanego dwuparametrowego procesu Wienera)
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 (Oszacowania dla paraproduktów i całek stochastycznych)
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 (https://arxiv.org/pdf/2304.14474.pdf) 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} …