3 papers
math.DS2024
Ergodic optimization for continuous functions on the Dyck-Motzkin shifts
Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto
Ergodic optimization aims to describe dynamically invariant probability measures that maximize the integral of a given function. The Dyck and Motzkin shifts are well-known examples…
math.DS2024
Ergodic optimization for continuous functions on non-Markov shifts
Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto
Ergodic optimization aims to describe dynamically invariant probability measures that maximize the integral of a given function. For a wide class of intrinsically ergodic subshifts…
math.DS2019
Topological entropy of the set of generic points for -shifts
Kenichiro Yamamoto
We prove that all (-)-shifts with and are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with…