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In this paper we develop a symbolic dynamics approach to a problem
of studing of dimensional characteristics of the set of bounded geodesics on
manifolds of negative curvature.
Connecting orbits for families of Tonelli Hamiltonians
families of Tonelli Hamiltonians Dynamical Systems
2011/9/19
Abstract: We investigate the existence of Arnold diffusion-type orbits for systems obtained by iterating in any order the flows of a family of Tonelli Hamiltonians. Our approach is close to the one of...
Double flag varieties for a symmetric pair and finiteness of orbits
Double flag varieties symmetric pair finiteness of orbits
2010/12/14
Let G be a reductive algebraic group over the complex number filed, and K = G be the fixed points of an involutive automorphism of G so that (G,K) is a symmetric pair.