Kenichiro Yamamoto

activity

20192024

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4 papers · 1 filter

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.DS2024

The dynamics of the heterochaos baker maps

Yoshitaka Saiki, Hiroki Takahasi, Kenichiro Yamamoto +1

The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced in [Nonlinearity 34, 2021, 5744--5761], to provide a hands-on, elementary understanding o…

math.DS2019

Topological entropy of the set of generic points for $(α - β)$ -shifts

Kenichiro Yamamoto

We prove that all ( $α$ - $β$ )-shifts with $0 \leq α < 1$ and $β > 2$ are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with…

Ergodic optimization for continuous functions on the Dyck-Motzkin shifts

Ergodic optimization for continuous functions on non-Markov shifts

The dynamics of the heterochaos baker maps

Topological entropy of the set of generic points for (α−β)-shifts

Topological entropy of the set of generic points for $(α - β)$ -shifts