Lista referatów

• 2023-03-02, godz. 12:15, 5820

  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 be obtained by means of Optimal Transport. ...

• 2023-01-26, godz. 12:15, 3160

  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. ...

• 2023-01-12, godz. 12:15, 5060 (note the change of room)

  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 which are energy-minimizing (under certain additional regularity assump...

• 2022-12-15, godz. 12:15, 3160

  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: the Busemann intersection inequality and the Lut...

• 2022-11-10, godz. 12:15, 3160

  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 the optimal Hardy inequality for stable processes. All these results req...

• 2022-11-03, godz. 12:15, 3160

  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 introduced as a way to study the quantum Heisenberg model. For this model, progress had been made on some speci...

• 2022-10-27, godz. 12:15, 3160

  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 much better constants. Let me remind you that this solves a quite important problem about the...

• 2022-10-13, godz. 12:15, 3160

  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 matrix is known due to the result of Latała, van Hand...

• 2022-10-06, godz. 12:15, 3260

  Adam Osękowski (Uniwersytet Warszawski)

  Three inequalities, one constant

  The purpose of the talk will be to discuss the following three estimates: 1) Bliss' inequality for real functions on positive halfline; 2) Sobolev's inequality (the imbedding theorem); 3) Sawyer's inequality which characterizes the boundedness of fractional maximal operator on weighte...

• 2022-06-02, godz. 12:15, 3260

  Michał Skrzypecki (Uniwersytet Warszawski)

  Proces Wienera i analiza na trójkącie Sierpińskiego

  Początkowo fraktale służyły matematykom jako kontrprzykłady. Krzywa Kocha jest przykładem zwartej krzywej nieskończonej długości, zbiór Cantora jest nieprzeliczalnym zbiorem doskonałym zerowej miary Lebesgue'a. Z czasem zaczęto odkrywać przykłady fraktali w przyrodzie. Chcemy...

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