5 papers
Distributions of periodic points for the Dyck shift and the heterochaos baker maps
Hiroki Takahasi
The heterochaos baker maps are piecewise affine maps on the square or the cube that are one of the simplest partially hyperbolic systems. The Dyck shift is a well-known example of…
Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center
Hiroki Takahasi, Masato Tsujii
For the heterochaos baker maps whose central direction is mostly neutral, we prove that correlations for Hölder continuous functions decay at an optimal polynomial rate of order $n…
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…
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…
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…