Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards
The authors study local ergodicity of hyperbolic systems with singularities with the aim to investigate multidimensional uniformly hyperbolic systems, in particular multidimensional dispersing billiards. The results of the work [\textit{Ya. G. Sinai}, Russ. Math. Surveys 25, 137--189 (1970; Zbl 0263.58011)] are generalized to a multi-dimensional hyperbolic setting, that allows to prove local-ergodicity for a class of multidimensional dispersing billiards (independent proof with the article [\textit{N. Chernov}, J. Stat. Phys. 94, 513--556 (1999; Zbl 1047.37503)]).
scientific article; zbMATH DE number 5508705