A horseshoe with a discontinuous entropy spectrum
نویسندگان
چکیده
We study the regularity of entropy spectrum Lyapunov exponents for hyperbolic maps on surfaces. It is well-known that a concave upper semi-continuous function which analytic interior set exponents. In this paper we construct family horseshoes with discontinuous at boundary
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2020.124811