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 21, 2013, 12:15 p.m.
Tomasz Tkocz (University of Warwick)
Certain convolution type operators on L_1 are nicely invertible
We will consider convolution operators acting on the L_1 space of functions defined on the unit circle equipped with the Lebesgue measure. The kernels will be related to a wide class of random variables having …
March 14, 2013, 12:15 p.m.
Djalil Chafai (Université Paris-Est)
Around the circular law
Among basic results of random matrix theory, the circular law is probably the simplest to state and the hardest to prove. This talk will present the circular law and various related models and topics.
March 7, 2013, 12:15 p.m.
Adam Osękowski (Uniwersytet Warszawski)
Weak-type inequalities for Fourier multipliers
We will show how martingale methods lead to weak-type inequalities for a large class of Fourier multipliers, including second-order Riesz transforms and the real and imaginary part of Beurling-Ahlfors operator.
Feb. 28, 2013, 12:15 p.m.
Rafał Latała (Uniwersytet Warszawski)
kontynuacja (Ograniczoność procesów Bernoulliego)
Feb. 21, 2013, 12:15 p.m.
Rafał Latała (Uniwersytet Warszawski)
Ograniczoność procesów Bernoulliego
Omówimy sformułowaną przez Talagranda hipotezę dotyczącą warunków równoważnych ograniczoności procesów Bernoulliego i naszkicujemy, niedawno otrzymany wspólnie z Witoldem Bednorzem, jej dowód.
Jan. 24, 2013, 12:15 p.m.
Jan Obłój (University of Oxford)
Optymalny transport martyngałowy, całki stochastyczne bez miary i inne nowe zagadnienia probabilistyczne pojawiające się w matematyce finansowej
Chcę przedstawić referat przeglądowy pokazujący ciekawe problemy probabilistyczne (i nie tylko) pojawiające się w matematyce finansowej, w szczególności w tzw. "robust approach". Postaram się pokazać, jak łączą się G-expectation, analiza stochastyczna quasi-pewna, nierówności na trajektoriach, …
Jan. 17, 2013, 12:15 p.m.
Adam Osękowski (Uniwersytet Warszawski)
A sharp inequality for martingales with values in \ell_\infty^n
A classical result of Burkholder asserts that a Banach space is UMD if and only if it is zeta-convex. There is a dual characterization due to Lee: a Banach space is UMD if and only …
Jan. 10, 2013, 12:15 p.m.
Anna Talarczyk (Uniwersytet Warszawski)
Particle picture for the Rosenblatt process
The Rosenblatt process was introduced by Taqqu (1975). It is self-similar with index H, 1/2< H<1, has stationary increments and is not Gaussian - it lives in the second Wiener chaos. We show how this …
Dec. 20, 2012, 12:15 p.m.
Kamil Kaleta (Politechnika Wrocławska i Uniwersytet Warszawski)
Decay of eigenfunctions and intrinsic ultracontractivity for Levy-Schroedinger operators
We consider the Feynman-Kac semigroups for a class of jump Levy processes satisfying some specific regularity conditions. Generators of these semigroups are sometimes called generalized Schroedinger operators. For these operators we present some new results …
Dec. 6, 2012, 12:15 p.m.
Paweł Hitczenko (Drexel University)
Gaps in discrete random samples
For a sequence of independent and identically distributed random variables with values in the set of non-negative integers we investigate the number of gaps and the length of the longest gap in the set of …
Nov. 29, 2012, 12:15 p.m.
Ewa Damek (Uniwersytet Wrocławski)
Dokładna asymptotyka punktów stałych transformaty gładzącej \sum_{i=1}^n A_i X_i + B
Nov. 22, 2012, 12:15 p.m.
Paweł Wolff (Uniwersytet Warszawski)
Sharp convolution inequalities
I will speak on some generalization of the Young convolution inequality. It contains both the classical Brascamp-Lieb inequality and its dual (reversed) form. The best constant turns out to be saturated by Gaussian functions. A …
Nov. 15, 2012, 12:15 p.m.
Katarzyna Pietruska-Pałuba (Uniwersytet Warszawski)
Poincaré inequality and related function spaces on fractals
Given a nondegenerate harmonic structure, we elementarily prove a Poincaré-type inequality for functions in the domain of the Dirichlet form on nested fractals, involving the Kusuoka energy measure. We then study the Hajłasz-Sobolev spaces on …
Nov. 8, 2012, 12:15 p.m.
Radosław Adamczak (Uniwersytet Warszawski)
Moment estimates for convex measures
I will present estimates of $p$-th moments of the Euclidean norm for a certain class of measures, satisfying a Brunn-Minkowski type inequality, in terms of the first moment and weak $p$-th moments and their applications …
Oct. 25, 2012, 12:15 p.m.
Adam Osękowski (Uniwersytet Warszawski)
Weighted maximal inequalities for martingales
The purpose of the talk is to establish the following extension of a classical result of Doob. We will determine the best constants in the weighted weak-type inequalities for the martingale maximal function. The proof …