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- W1678910791 abstract "We prove the existence of Sinai-Ruelle-Bowen measures for a class of $C^2$ self-mappings of a rectangle with unbounded derivatives. The results can be regarded as a generalization of a well-known one dimensional Folklore Theorem on the existence of absolutely continuous invariant measures. In an earlier paper analogous results were stated and the proofs were sketched for the case of invertible systems. Here we give complete proofs in the more general case of noninvertible systems, and, in particular, develop the theory of stable and unstable manifolds for maps with unbounded derivatives." @default.
- W1678910791 created "2016-06-24" @default.
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- W1678910791 date "1996-04-22" @default.
- W1678910791 modified "2023-09-27" @default.
- W1678910791 title "Asymptotic measures for hyperbolic piecewise smooth mappings of a rectangle" @default.
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