2 papers
math.DS2026
Rate distortion dimension of Gibbs measures for functions depending on the first two coordinates on the full shift of Ahlfors regular spaces
Kanji Inui, Mao Shinoda
The study on shift spaces in ergodic theory has extended beyond the classical setting, but there is room to discuss an extension of the Kolmogorov-Sinai entropy in the ergodic theo…
math.DS2024
Hausdorff dimension of the parameters for -transformations with the specification property
Mai Oguchi, Mao Shinoda
In this paper we consider the specification property for -shifts. When , Schmeling shows that the set of for which the -shift has the specification property ha…