4 papers
On exceptionality of dimension three in terms of lattice angles
Ken Yamamoto
In this study, we investigate the lattice angle, which is defined as the angle between two vectors whose components are integers. We focus on the set of angles between a fixed inte…
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…
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…