Invariant Measures for Non-autonomous systems.... by Sergey Kryzhevich скачать в хорошем качестве

Invariant Measures for Non-autonomous systems.... by Sergey Kryzhevich

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases. The closely related field of dynamical systems has a much older origin, going back at least to Newtonian mechanics. Both subjects have since flourished into extremely active subjects with connections to many parts of mathematics and the physical sciences. Progress has been especially rapid in the last few years in differentiable dynamics and homogeneous dynamics. Differentiable dynamics studies flows on smooth manifolds and has links with geometry while homogeneous dynamics is the study of subgroup actions on homogeneous spaces of Lie groups and has connections to number theory. It is the aim of this two week workshop to gather top experts in these two subjects to deliver expositions on the state of the art in these subjects. The first week will be devoted to differentiable dynamics and the second week to homogeneous dynamics. During the program, The ICTS Distinguished lecture will be delivered by Prof. Marcelo Viana. Minicourse Lecturers Week 1: 1. Sylvain Crovisier, Paris Sud, France 2. Stefano Luzzatto, ICTP Week 2: 1. mitry Kleinbock, Brandeis University​ 2. Elon Lindenstrauss, Hebrew University of Jerusalem 3. Amos Nevo, Technion, Haifa 4. Both weeks will feature research talks by leading mathematicians as well as mini courses. A number of slots will be available in the program for younger participants to present their research and a poster session will also be organized. The program is jointly organised and supported by ICTP and IMPA. CONTACT US: etds2019@icts.res.in PROGRAM LINK: https://www.icts.res.in/program/etds2019 Table of Contents (powered by https://videoken.com) 0:00:00 Invariant Measures for Non-autonomous systems and ergodic inverse shadowing 0:01:30 Shadowing and Inverse Shadowing 0:03:32 Literature 0:03:47 Some basic definitions from topological dynamics. 0:04:50 Some basic definitions from Ergodic Theory. 0:05:27 Spaces of sets of invariant measures. 0:06:44 Some basic definitions from Hyperbolic Theory. 0:07:12 Axiom A 0:07:56 Structural stability and Ω - stability 0:09:33 Shadowing and Structural Stability 0:10:18 Main problem 0:10:59 Invariant measures for methods 0:13:39 Invariant measures for methods-2 0:14:08 Upper semicontinuity of the set of invariant measures 0:16:17 Ergodic Inverse Shadowing 0:17:43 Ergodic Inverse Shadowing and hyperboicity of (f).