SCIENTIFIC     PROGRAM

August, 21 - Monday

 Time Speakers and  titles 12:00 - 13:30 Opening : Short speeches/recollections of Anatole Katok, Alexander Sharkovsky and Anatole Stepin 16:30 - 17:20 Benjamin  Weiss  (Hebrew University of Jerusalem, Israel)  Amenable groups and their actions - course I 17:30 - 18:20 Mike Keane ( CWI, The Netherlands ) Classification questions for noncommutative Bernoulli schemes

August, 22 - Tuesday

 Time Speakers and  titles 9:00 - 9:50 Benjamin  Weiss  (Hebrew University of Jerusalem, Israel)  Amenable groups and their actions - course II 10:20 - 11:10 Oleg Kozlovski  (University of Warwick, UK)  Structural stability in one dimensional dynamics  - course I 11:20 - 12:10 Pierre Arnoux (Institut de Mathématiques de Luminy, France)  Plane tilings, Jacobi-Perron algoritm,$Z^2$-actions and substitutions 12:30 - 13:10 Andres del Junco (University of Toronto,Canada) On rank one mixing group actions 13:20 - 14:10 Aner Shalev  (Hebrew University of Jerusalem, Israel)  Probabilistic methods in the study of the modular group 16:30 - 17:00 Section A  Jozef Bobok (Czech Technical University, Czech Republic) On the Topological Entropy of Transitive Maps of the Interval Section B Klaus Thomsen (University of Aarhus, Denmark)  The defect of factor maps 17:10 - 17:40 Section A Deborah King (University of New South Wales, Australia)  The fab four - entropy-maximal $4k$-cycles  Section B Alexander Kachurovskii (Sobolev Institute of Mathematics, Russia) Rates of convergence in ergodic theorems 17:50 - 18:20 Section A Julien Cassaigne (Institut de Mathematiques de Luminy, France)  Ideas for the proof of Rauzy's conjecture on the recurence function of finite words Section B Maxim Boyko (Kharkov National University, Ukraine)  On embedding of finite permutation group into a locally compact groups 18:30 - 19:00 Section A  Laurent Bartholdi (University of Geneva, Switzerland)  Parabolic space of branch groups  Section B Konstantin Kulagin (Kharkov National University, Ukraine) On dense embeddings of discrete groups into locally compact groups

August, 23 - Wednesday

 Time Speakers and  titles 9:00 - 9:50 Benjamin  Weiss  (Hebrew University of Jerusalem, Israel)  Amenable groups and their actions - course III 10:20 - 11:10 Vitaly  Bergelson  (Ohio State University, USA)  The interplay between ergodic theory, number theory and combinatorics  - course I 11:20 - 12:10 Oleg Kozlovski  (University of Warwick, UK)  Structural stability in one dimensional dynamics  - course II 12:20 - 13:10 Alexander Blokh (University of Alabama at Birmingham, USA)  Growing trees, laminations and the Julia set 13:20 - 14:10 Lubomir Snoha (Matej Bel University, Slovakia)  Noninvertible minimal maps 16:30 - 17:00 Section A Andrei Lodkin (St. Petersburg State University, Russia) Diffraction and dynamical spectra of quasicrystals  Section B Sergey Gefter (Kharkov National University, Ukraine) Automorphism groups and fundamental groups of some ergodic equivalence relations of type II 17:10 - 17:40 Section A Anton Eremenko (Moscow State University, Russia)  Transformations with specified number of square roots  Section B Vyacheslav Kulagin (Institute for Low Temperature Physics and Engineering, Ukraine)  Orbit properties of pseudo-homeomorphism groups and their cocycles 17:50 - 18:20 Section A Antonio Falco (Universidad Cardenal Herrera-CEU, Spain)  On the phase-locking renormalization for Lorenz-like maps Section B Alexander Bufetov (Independent University of Moscow, Russia) Operator ergodic theorems for free semigroup and group actions 18:30 - 19:00 Section A Valery Samoilenko(Taras Shevchenko National University and Institute of Mathematics, Ukraine)  On application of the one-dimensional dynamical system theory for studying of impulsive planar differential equations Section B Mikhail Kulikov (Moscow State University, Russia)  Ergodicity and mixing of $T$-induced flows

August, 24 - Thursday

 Time Speakers and  titles 9:00 - 9:50 Oleg Kozlovski  (University of Warwick, UK)  Structural stability in one dimensional dynamics  - course III 10:20 - 11:10 Jean-Paul Thouvenot  (Université Paris 6, France)  The ergodic theory of positive entropy transformations  - course I 11:20 - 12:10 Jon Aaronson (Tel Aviv University, Israel)  Invariant measures and asymptotic behaviour for some skew products 12:20 - 13:10 Lluis Alseda (Universitat Autonoma de Barcelona, Spain)  Minimizing topological entropy for continuous maps on graphs 13:20 - 14:10 Jan Kwiatkowski (Nicholas Copernicus University, Poland)  The rank of Z(d)- actions 16:30 - 17:00 Section A Vladimir Sharko (Institute of Mathematics, Ukraine)  Vector fields on 4-manifolds Section B Nikita Sidorov (University of Science and Technology in Manchester, UK ) Bijective arithmetic codings of toral automorphisms 17:10 - 17:40 Section A Mikhail Shashkov (Institute for Applied Mathematics and Cybernetics, Russia)  On a chaos in bifurcation diagrams for systems with simple dynamics  Section B Roman Muchnik (Yale University, USA)  Orbits of Zariski dense semigroups of GL(n, Z) 17:50 - 18:20 Section A Alexey Glutsyuk (Independent University of Moscow, Russia and IHES, France)  TBA Section B Volodymyr Nekrashevych (Kyiv Taras Shevchenko University, Ukraine) Self-similar group actions 18:30 - 19:00 Section A Georgi Chakvetadze (Moscow Aviation Institute, Russia ) On the stochastic stability of an one-dimensional drilling model Section B Mohammad Reza Molaei (Taherabadi) (Shahid Bahonar University of Kerman, Iran)  New Results in Generalized Dynamical Systems

August, 25 - Friday

 Time Speakers and  titles 9:00 - 9:50 Andre de Carvalho (SUNY at Stony Brook, USA)  Pruning, Kneading and Henon - course I 10:20 - 11:10 Vitaly  Bergelson  (Ohio State University, USA)  The interplay between ergodic theory, number theory and combinatorics  - course II 11:20 - 12:10 Toby Hall (University of Liverpool, UK) Dynamics implied by invariant Cantor sets 12:20 - 13:10 Anatole Stepin (Moscow State University, Russia)  Some aspects of ergodic theory and dynamical systems 13:20 - 14:10 Mariusz Lemanczyk (Nicholas Copernicus University, Poland)  Joinings and the relative discrete spectrum 16:30 - 17:00 Section A Roman Hric (Matej Bel University, Slovakia)  Minimal sets for maps on graphs and dendrites Section B Sylvie Ruette (Institut de Mathematiques de Luminy, France)  Asymptotic pairs and entropy 17:10 - 17:40 Section A Alexey Zhirov (Gagarin Airforce Academie, Russia ) On the problem of enumeration of dinamical systems. The case of two-dimensional diffeomorphisms Section B Stanislav Popovych (Taras Shevchenko National University, Ukraine)  $C^*$-Algebras associated with $\mathcal{F}_{2^n}$ unimodal dynamical systems 17:50 - 18:20 Section A Vladimir Gordin (Hydrometeorological Center of Russia & Indep.  Moscow Univ., Russia)  Lyapunov Functional Aproach to Stability; Extremal Stability, and Extremal Unstability  Section B Vasyl Ostrovskyi (Institute of Mathematics, Ukraine) Dynamical systems and representations of involutive algebras 18:30 - 19:00 Section A Evgeny Zhuzhoma (Nizhny Novgorod State Technical University, Russia)  On structurally stable diffeomorphisms with codimension one expanding attractors Section B Alexandre Sokhet (Institute for Low Temperatures Physics & Engineering, Ukraine)  Transitive actions have funny rank one

August, 27 - Sunday

 Time Speakers and  titles 9:00 - 9:50 Andre de Carvalho (SUNY at Stony Brook, USA)  Pruning, Kneading and Henon - course II 10:20 - 11:10 Jean-Paul Thouvenot  (Université Paris 6, France)  The ergodic theory of positive entropy transformations  - course II 11:20 - 12:10 Alexander Sharkovsky (Institute of Mathematics, Ukraine) Boundary Value Problems and Dynamical Systems 12:20 - 13:10 Valentin Golodets (Inst. for Low Temperature Physics & Engineering, Ukraine)  On non-Bernoullian completely positive actions of Abelian groups 13:20 - 14:10 Anthony  Dooley (University of New South Wales, Australia)  Markov Odometers 16:30 - 17:00 Section A Peter Malicky (Matej Bel University, Slovakia)  Backward orbits of transitive maps  Section B Alexander Prikhod'ko (Lomonosov Moscow State University, Russia)  A counterexample to Rokhlin's problem on multiple mixing for $R^2$-actions 17:10 - 17:40 Section A Evgueni Sataev (The Obninsk Institute of Nuclear Power Engineering, Russia ) One example of continuous dependence of invariant measure of parameters  Section B Vitalij Sushchansky (Kyiv Taras Shevchenko University , Ukraine)  On Dynamics of distance - decreasing Mappings of Ultrametric Spaces 17:50 - 19:00 OPEN PROBLEMS Section

August, 28 - Monday

 Time Speakers and  titles 9:00 - 9:50 Andre de Carvalho (SUNY at Stony Brook, USA)  Pruning, Kneading and Henon - course III 10:20 - 11:10 Vitaly  Bergelson  (Ohio State University, USA)  The interplay between ergodic theory, number theory and combinatorics  - course III 11:20 - 12:10 Vadim Kaloshin (Princeton University and American Institute of Mathematics, USA)  Growth of number of periodic points for generic diffeomorphisms 12:20 - 13:10 Kostya Khanin (Newton Institute, University of Cambridge, UK ) Global Hyperbolicity for Renormalizations of Circle Maps with Break Singularity 13:20 - 14:10 Alexandre Danilenko (Kharkov National University, Ukraine)  Fanny rank one nonsingular actions of Abelian groups and mixing 16:30 - 17:00 Section A Vladislav Medvedev (Nizh. Novg. Research Institutefor Appl. Math.&Cybernetics, Russia)  On the Closing lemma and existence of wandering intervals for piecewise differentiable circle maps  Section B Yuri Tomilov (Institute of Mathematics, Ukraine) Ergodicity as universal type of asymptotic behaviour of dynamical systems 17:10 - 17:40 Section A Peter Raith (Universitat Wien, Austria) Multifractal dimensions of invariant subsets for piecewise monotonic maps on the interval  Section B Dierk Schleicher (Ludwig-Maximilians-Universitat Munchen , Germany)  TBA 17:50 - 18:20 Section A Jie-Hua Mai (Shantou University, P. R. China)  Existence of periodic points of maps of spaces Section B Jean-Marie Strelcyn (Universite de Rouen, France) On generic nonintegrability of systems of ordinary differential equations 18:30 - 19:00 Section A Viktor Tkachenko (Institute of Mathematics, Ukraine)  On reducibility of linear skew-product systems  Section B Rene Lozi (Nice University, France)  Construction of trapping regions for some solutions of Chua's equations

August, 29 - Tuesday

 Time Speakers and  titles 9:00 - 9:50 Jean-Paul Thouvenot  (Université Paris 6, France)  The ergodic theory of positive entropy transformations  - course III 10:20 - 11:10 Vitaly  Bergelson  (Ohio State University, USA)  The interplay between ergodic theory, number theory and combinatorics  - course IV 11:20 - 12:10 Sergei Pilyugin (S-Petersburg State University, Russia) Attractivity and Shadowing in the Chafee-Infante Problem 12:20 - 13:10 Jean Renault (Universite d'Orleans, France)  Singly generated systems and their C*-algebras 13:20 - 14:10 Xiangdong Ye (University of Science & Technology of China, P.R. China) Scrambled sets of continuous maps of compacta 16:30 - 17:00 Section A David Juher (Universitat de Girona, Spain) Sets of periods of piecewise monotone tree maps Section B Oleg Sten'kin (Institute for Aplied Mathematics and Cybernetics, Russia)  On two-dimensional diffeomorphisms with a countable set of stable and unstable closed invariant curves 17:10 - 17:40 Section A Romen Plykin ( The Obninsk Institute of Nuclear Power Engineering, Russia ) Homeomorphisms of Hyperbolic codimension one attractors and centralizeurs problem  Section B Andrij Olijnyk (Kyiv Taras Shevchenko University, Ukraine) Dynamics of actions of infinite dimentional unitriangle matrices 18:10 - 19:00 Bas Lemmens (Vrije Universiteit Amsterdam, The Netherlands ) The iteration of nonexpansive maps
 Last updated August 9, 2000