Organizers

prof. dr hab. Henryk Żołądek

Information

Fridays, 10:15 a.m. , room: 5840

Home page

http://www.mimuw.edu.pl/~baranski/dsg/seminar/

Research fields

Ordinary Differential Equations and Dynamical Systems

List of talks

Feb. 27, 2009, 10:15 a.m.
Christophe Dupont (Université Paris-Sud 11)
Central Limit Theorem and regularity of the maximal entropy measure
Let $f$ be an holomorphic endomorphism of $\mathbb{C}\mathbb{P}(2)$ of degree $d \geq 2$. It is known that the measure of maximal entropy $\mu$ is absolutely continuous with respect to the Lebesgue measure when its Lyapunov …
Feb. 20, 2009, 10:15 a.m.
- (Uniwersytet Warszawski)
Ustalenie programu na semestr letni
Jan. 23, 2009, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
Multiple zeta values, hypergeometric equations and WKB expansions
Some generating functions of so-called multiple zeta values are expressed via solutions of hypergeometric equations with a parameter x. We (i.e. H. Ż. and M. Zakrzewski) study so-called WKB asymptotic expansions of solutions of these …
Jan. 16, 2009, 10:15 a.m.
Joanna Jaroszewska (Uniwersytet Warszawski)
Przykłady operatorów Markowa, dla których jedyność rozkładu niezmienniczego implikuje asymptotyczną stabilność
Jan. 9, 2009, 10:15 a.m.
Marcin Bobieński (Uniwersytet Warszawski)
Darboux integrable systems and its perturbations
I will talk about class of planar polynomial integrable systems with a first integral of Darboux type and its polynomial perturbation. Studying respective Abelian integrals one obtains certain bound for the number of limit cycles …
Dec. 19, 2008, 10:15 a.m.
Feliks Przytycki (Polska Akademia Nauk)
Iteration of rational functions: inducing, nice and pleasant couples
I plan to sketch results of my recent paper joint with Juan Rivera-Letelier, concerning pressure function $P(t)$ of potential $-t\log |f|$ for weakly hyperbolic rational mapping $f$. The results concern the existence of conformal and …
Dec. 12, 2008, 10:15 a.m.
Pablo Shmerkin (University of Manchester)
Projections of self-similar and self-affine fractals
A classical theorem of Marstrand says that for any Borel set E in the plane of Hausdorff dimension d, the orthogonal projection of E onto a line with slope t has Hausdorff dimension min(d,1), for …
Dec. 5, 2008, 10:15 a.m.
Anna Zdunik (Uniwersytet Warszawski)
Hausdorff dimension of maximal measure for endomorphisms of P^k
Nov. 28, 2008, 10:15 a.m.
Michał Rams (Polska Akademia Nauk)
C^1 multifractal analysis
I will present our results with Thomas Jordan on the local dimension spectrum of the weak Gibbs measures for C^1 maps of the intervals. The maps are supposed to be topologically expanding, but might have …
Nov. 21, 2008, 10:15 a.m.
Piotr Mormul (Uniwersytet Warszawski)
Engel, Cartan, samochód ciągnący wiele przyczepek - wieża rozmaitości Goursata
Odczyt dotyczyć będzie dystrybucji stycznych do rozmaitości, np. M, z wolno rosnącym dużym wektorem wzrostu [2, 3, 4, ... , dim M]. Punkty zwrotne teorii: F.Engel 1889, E.Cartan 1914, A.Kumpera 1978, F.Jean 1996, ... , …
Nov. 14, 2008, 10:15 a.m.
Balazs Barany (Polish Academy of Sciences)
Absolute continuity and transversality for fractional linear IFS's
In my talk, the main question is: When will the self-similar measure of an IFS be absolute continuous? This question is not answered exactly. It is the general case of Erdos's question, which is for …
Nov. 7, 2008, 10:15 a.m.
Krzysztof Barański (Uniwersytet Warszawski)
On the dimension properties of the boundary of a periodic basin for exponential maps
We present some recent results (obtained together with Bogusława Karpińska and Anna Zdunik) on the dimension of the boundary of a periodic (with period at least 2) attracting or parabolic basin for exponential maps f(z) …
Oct. 31, 2008, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski)
Morse theory for plane curves
I develop a tool for studying plane algebraic curves. It consists on intersecting a given plane curve C with spheres S(z,r), centered at some point z and radius r. For almost all r, this intersection …
Oct. 24, 2008, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
The restricted three body problem revisited
The restricted three body problem deals with the Lyapunov stability of the Lagrangian configuration of a system of three bodies in vertices of an equilateral triangle. Two of the bodies (Sun and Jupiter) rotate along …
Oct. 17, 2008, 10:15 a.m.
Michał Misiurewicz (Indiana University - Purdue University Indianapolis)
Critical stability of unimodal maps