HM
CEMIHAP
a seminar in Dynamical Systems and Related Topics. Usually seminars take place on Tuesdays between 2.00 and 3.00 pm, in 208 (unless otherwise indicated) in the Institute of Mathematics |
21 May 1999 (Friday, 3.00 pm)Mariusz LEMANCZYK ( Uniwersytet Mikolaja Kopernika , Torun, Poland )RANDOM ERGODIC THEOREMS OF VON NEUMANN AND COCYCLES25 May 1999 (Tuesday, 3.00 pm)Sergii KOLYADA ( Institute of Mathematics, Kiev)Minimality, Invertibility and Openness of Maps7 December 1999 (Tuesday, 2.00 pm)Sergii KOLYADA ( Institute of Mathematics, Kiev)On Li-Yorke Pairs8 February 2000 (Tuesday, 3.00 pm)1. Volodymyr NEKRASHEVYCH ( Taras Shevchenko University, Kiev)On Dynamics of Group Actions on Cantor Sets 2. Sergii KOLYADA ( Institute of Mathematics, Kiev) On some problems in Topological Dynamics
15 February 2000 (Tuesday, 3.00 pm)1. Vitaly SUSHCHANS'KYI ( Taras Shevchenko University, Kiev)Cycles of Cellular Automata 2. Sergii KOLYADA ( Institute of Mathematics, Kiev) Minimality, Invertibility and Openness of Maps II
21-30 August 2000Conference and Ukrainian-US workshop
26 September 2000 (Tuesday, 4.00 pm)Oleg Kozlovski (Warwick University, UK)Hausdorff Dimension of Attractors of Unimodal mapsIf one wants to investigate properties of a dynamical system, one of the first things to do is to check attractors of this dynamical system and their properties. We will discuss Hausdorff dimension of attractors of unimodal maps (i.e. maps of an interval with one critical point) and show the following remarkable fact: Hausdorff dimension of an attractor of a unimodal map with a non-degenerate critical point is either 1 and in this case this attractor is a union of intervals or it is less than some universal constant. This constant is strictly less than 1 and does not depend on anything.For further information about the seminar, contact the organizer Sergii Kolyada and / or http://www.imath.kiev.ua/~skolyada/nmsem98.html |