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Weekly research seminar
Organizers
- prof. dr hab. Rafał Latała
Information
Thursdays, 12:15 p.m. , room: 3160Home page
http://lists.mimuw.edu.pl/listinfo/sem-rpList of talks
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May 16, 2024, 12:15 p.m.
Soumik Dutta (University of Warsaw)
On Edge Collapse of Random Simplicial Complexes
Edge collapse, introduced in [Boissonnat, Pritam. SoCG 2020], is a process to reduce the size of a simplicial complex while preserving its homology. We study the effect of edge collapse on the Erdos-Renyi random clique …
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May 9, 2024, 12:15 p.m.
Witold Bednorz (University of Warsaw)
Concentration of truncated variation for fractional Brownian motion
The talk will be about some new result that concerns bounding variation for fBM. In particular, I show some technique, due to Picard, which makes it possible to introduce some independence in studying similar questions. …
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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 …
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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 …
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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 …
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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 …
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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 …
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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.
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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 …
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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 …
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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).
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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 …
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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 …
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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 …
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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, …
