Five Most Resistant Problems in Dynamics.
Clay Mathematics Institute and MSRI Conference on Recent Progress in Dynamics
September 26,2004 04:15 PM to 05:15 PM
Speakers:
Katok, Anatole
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Summary: |
Katok discusses five outstanding problems in dynamics: I. Co-existence of KAM circles and positive entropy in
area-preserving maps, II. Smooth realization of measure preserving transformations, III. Orbit growth, existence of periodic orbits and ergodicity of billiards in polygons, IV. Invariant measures for hyperbolic actions of higher rank abelian groups, and V. Topological classification of Arosov diffeomorphisms and differentiable classification of Arosov actions. |
Keywords: |
Dynamics; Open problems; times two times three; Classification of Arosov diffeomorphisms; KAM; smooth realization;
polygonal billiards; smooth invariant measures. |
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