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

Jan. 11, 2008, 10:15 a.m.
Neil Dobbs (Polska Akademia Nauk)
Ergodic properties of rational maps
We shall describe some results of Ledrappier and their extensions and give some applications to the study of equilibrium measures.
Jan. 4, 2008, 10:15 a.m.
Joanna Jaroszewska (Uniwersytet Warszawski)
A survey of recent results on asymptotic stability of Ruelle-Perron-Frobenius operator and uniqueness of its invariant distributions
Dec. 21, 2007, 10:15 a.m.
Michał Rams (Polska Akademia Nauk)
Multifractal analysis for parabolic maps
I am going to present my recent results (joint with Katrin Gelfert) on the Lyapunov spectrum for a class of parabolic iterated function systems, extending the classical results of Barreira and Schmelling in uniformly hyperbolic …
Dec. 14, 2007, 10:15 a.m.
Maciej Borodzik (Uniwersytet Warszawski)
Gromov-Witten invariants and classification of plane algebraic curves of arbitrary genus
In this expository talk I will present, how the intersection theory on moduli spaces of stable pointed curves of genus g - i.e. Gromov-Witten invariants - may be used to study curves in C^2 with …
Nov. 30, 2007, 10:15 a.m.
Waldemar Pałuba (Uniwersytet Warszawski)
On the definite rate of monotone growth of ratios in the power-law family
Some ratios of the lengths of intervals marked by the post-critical orbit in quasi-qudratic families turn out to be monotone in the parameter. We prove they grow with a definite speed bounded away from 1 …
Nov. 23, 2007, 10:15 a.m.
Agnieszka Siluszyk (Akademia Podlaska)
On the stability of homographic solutions in the restricted 8-body problem
We are concerned with existence and stability of homographic solutions in the restricted 8-body problem with partial symmetries. Six bodies make two regular triangles with distinct radii, the seventh’s body is located in the center. …
Nov. 16, 2007, 10:15 a.m.
Michał Zakrzewski (Uniwersytet Warszawski)
Wielokrotne wartości zeta
Certain generating functions for multiple zeta-values are expressed as values at some point of solutions of linear meromorphic differential equations. Asymptotic expansions methods (like WKB method and stationary phase formula) are applied to solutions of …
Nov. 9, 2007, 10:15 a.m.
Łukasz Pawelec (Uniwersytet Warszawski)
Quick recurrence for expanding maps
We will discuss some basic statistical quantities of a dynamical system. Then I will show that for maps with exponential decay of correlations and whose invariant measure has "good dimensional properties" (e.g. positive density with …
Oct. 26, 2007, 10:15 a.m.
Marcin Bobieński (Uniwersytet Warszawski)
Pseudo-Abelian integrals along Darboux cycles
The aim of this seminar is to present some new results about the analytic properties of pseudo-Abelian integrals. These integrals naturally appear in the study of phase portrait of plane polynomial vector field. They represent …
Oct. 19, 2007, 10:15 a.m.
Henryk Żołądek (Uniwersytet Warszawski)
Dynamics in HP^1
The monodromy maps for quaternionic Riccati equations with periodic coefficients $\dot{z}=zp(t)z+q(t)z+zr(t)+s(t)$ in HP^1 are quaternionic Mobius transformations. I prove that, like in the case of automorphisms of CP^1, the quaternionic homographies are divided into three …
Oct. 12, 2007, 10:15 a.m.
Juan Rivera Letelier (Universidad Catolica del Norte)
Large derivatives, backward contraction and invariant densities
We will discuss the dynamics of smooth maps of the interval with finitely many non-flat critical points. We will show that if for such a map the derivatives of the iterates are sufficiently large at …
Oct. 5, 2007, 10:15 a.m.
- (Uniwersytet Warszawski)
Ustalenie programu na semestr zimowy
June 1, 2007, 10:15 a.m.
Feliks Przytycki (Polska Akademia Nauk)
Hipoteza Entropijna na infra-nilrozmaitosciach
May 25, 2007, 10:15 a.m.
Michał Rams (Polska Akademia Nauk)
Large deviation spectrum for a Levy-like random process
We calculate the large deviation spectrum of certain random process, used for modelling the behavior of TCP/IP protocol.
May 18, 2007, 10:15 a.m.
Krystyna Kuperberg (Auburn University)
Dzikie łuki w układach dynamicznych
W układzie dynamicznym $\Phi: \mathbb{R}\times M\to M$ określonym na 3-wymiarowej rozmaitości $M$, trajektoria $\{\Phi(t,x)\ |\ t \in \mathbb{R}\}$ jest obustronnie dzika, jeżeli domknięcie zbioru $\{\Phi(t,x)\ |\ t \leq 0\}$ oraz domknięcie zbioru $\{\Phi(t,x)\ |\ t …