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

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 (Oszacowania dla wieloliniowych operatorów maksymalnych)
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 …
March 2, 2023, 12:15 p.m.
Samer Dweik (Uniwersytet Warszawski)
Sharp Poincaré and trace inequalities via Optimal Transport
In this talk, we study some Optimal Transport problems and we also find their corresponding minimal flow formulations. Then, we show that some sharp Poincaré and trace inequalities in BV space on bounded sets can …
Jan. 26, 2023, 12:15 p.m.
Rafał Latała (Uniwersytet Warszawski)
Spectral norm bounds for Rademacher matrices
We will discuss bounds for the mean spectral norm of unhomogenous Rademacher matrices. We will recall a general conjecture formulated together with Witold Światkowski and show that it is satisfied in few particular cases.
Jan. 12, 2023, 12:15 p.m.
Michał Kotowski (Uniwersytet Warszawski)
Large deviations for the interchange process on the interval and incompressible flows
In the talk I will explain how large deviations for the one-dimensional interchange process are related to incompressible Euler equations. I will sketch how to obtain matching large deviation lower and upper bounds for processes …
Dec. 15, 2022, 12:15 p.m.
Radosław Adamczak (Uniwersytet Warszawski)
Isoperimetric inequalities for certain star-shaped bodies
I will present isoperimetric type inequalities for star-shaped sets that interpolate between intersection bodies and dual Lp centroid bodies, two classes of convex bodies studied in geometry. This provides a bridge between two well-known inequalities: …
Nov. 10, 2022, 12:15 p.m.
Katarzyna Pietruska-Pałuba (Uniwersytet Warszawski)
Lp identities and inequalities related to certain Levy proceses
I will present recent results, concerned with generators and forms (acting on Lp) related to Levy processes. We establish the Hardy-Stein identity in Lp and related multivariate identities. If time permits, we will also present …
Nov. 3, 2022, 12:15 p.m.
Rémy Poudevigne-Auboiron (University of Cambridge)
Macroscopic cycles for the interchange process on random regular graphs
The interchange process can be seen as a random walk on permutations of a graph: at rate 1, independently on every edge, we exchange the value on both endpoints of the edge. This model was …
Oct. 27, 2022, 12:15 p.m.
Witold Bednorz (Uniwersytet Warszawski)
Theorem on selectors and its extensions
I will present the analytical proof of the selectors theorem (in June I presented a much more combinatorial proof by Park and Pham). With the analytic approach, the argument is much clearer and shorter with …
Oct. 13, 2022, 12:15 p.m.
Marta Strzelecka (University of Warsaw)
Norms of structured random matrices
Let us consider the structured m x n Gaussian matrix G_A=(a_{ij}g_{ij}), where g_{ij}'s are independent standard Gaussian variables and A=(a_{ij}) is a deterministic matrix. The exact behaviour of the spectral norm of the structured Gaussian …