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- W1569126195 abstract "In this paper we prove the following result, useful and often needed in the study of the ergodic properties of hard ball systems: In any hard ball system, for any phase point x0 ∈ M ∂M with a non-singular forward orbit S (0,∞) x0 and with in- finitely many consecutive, connected collision graphs on S (0,∞) x0, and for any number L > 0 one can al- ways find a time t > 0 and a non-zero tangent vector (δq0, δv0) ∈ E s (x0) with ||(�q t, �vt)|| ||(�q0, �v0)|| < L −1 , where (δqt, δvt) = DS t (δq0, δv0) ∈ E s (xt), xt = S t x0. Of course, the Multiplicative Ergodic Theorem of Os- eledets provides a much stronger conclusion, but at the expense of an unspecified zero-measured excep- tional set of phase points, and this is not sufficient in the sophisticated studies the ergodic properties of such flows. Here the exceptional set of phase points is a dynamically characterized set, so that it suffices for the proofs showing how global ergodicity follows from the local one." @default.
- W1569126195 created "2016-06-24" @default.
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- W1569126195 date "2007-03-08" @default.
- W1569126195 modified "2023-10-15" @default.
- W1569126195 title "An Effective Contraction Estimate in the Stable Subspaces of Phase Points in Hard Ball Systems" @default.
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