Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/36484

Title: Expansion properties of double standard maps
Authors: Benedicks, Michael
Misiurewicz, Michal
Ana, Rodrigues
Keywords: Low-dimensional dynamical systems
smooth dynamics
Issue Date: 2023
Publisher: Cambridge University Press
Citation: ENEDICKS M, MISIUREWICZ M, RODRIGUES A. Expansion properties of double standard maps. Ergodic Theory and Dynamical Systems. 2023;43(8):2549-2588. doi:10.1017/etds.2022.45
Abstract: For the family of Double Standard Maps fa;b = 2x + a + b _ sin 2_x (mod 1) we investigate the structure of the space of parameters a when b = 1 and when b 2 [0; 1). In the _rst case the maps have a critical point, but for a set of parameters E1 of positive Lebesgue measure there is an invariant absolutely continuous measure for fa;1. In the second case there is an open nonempty set Eb of parameters for which the map fa;b is expanding. We show that as b % 1, the set Eb accumulates on many points of E1 in a regular way from the measure point of view.
URI: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/expansion-properties-of-double-standard-maps/B5B34BB918784EFDCC41126F77E03CF5
http://hdl.handle.net/10174/36484
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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