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pro vyhledávání: '"Fernando José Sánchez-Salas"'
Publikováno v:
Journal of Mathematical Analysis and Applications. 466:281-306
We introduce a new induction scheme for non-uniformly expanding maps f of compact Riemannian manifolds, relying upon ideas of [33] and [10] . We use this induction approach to prove that the existence of a Gibbs–Markov–Young structure is a necess
Publikováno v:
Proceedings of the American Mathematical Society. 141:3157-3169
We show that for any C 1 + α C^{1+\alpha } diffeomorphism of a compact Riemannian manifold, every non-atomic, ergodic, invariant probability measure with non-zero Lyapunov exponents is approximated by uniformly hyperbolic sets in the sense that ther
Autor:
Fernando José Sánchez-Salas
Let $f$ be a $C^{1+\alpha}$ diffeomorphism of a compact Riemannian manifold and $\mu$ an ergodic hyperbolic measure with positive entropy. We prove that for every continuous potential $\phi$ there exists a sequence of basic sets $\Omega_n$ such that
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