M. Shinoda

activity

20172022

collaborators

7 papers

math.DS2022

Constrained Ergodic optimization for generic continuous functions

Shoya Motonaga, Mao Shinoda

One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous…

math.DS2022

Density of periodic measures and large deviation principle for generalized $(α, β)$ -transformations

Mao Shinoda, Kenichiro Yamamoto

We introduce generalized $(α, β)$ -transformations, which include all $(α, β)$ and generalized $β$ -transformations, and prove that all transitive generalized $(α, β)$ -transformations s…

math-ph2020

On the absence of zero-temperature limit of equilibrium states for finite-range interactions on the lattice $Z^{2}$

J. -R. Chazottes, M. Shinoda

We construct finite-range interactions on $S^{Z^{2}}$ , where $S$ is a finite set, for which the associated equilibrium states (i.e., the shift-invariant…

math.DS2019

Symbolic dynamics in mean dimension theory

Mao Shinoda, Masaki Tsukamoto

Furstenberg (1967) calculated the Hausdorff and Minkowski dimensions of one-sided subshifts in terms of topological entropy. We generalize this to $Z^{2}$ -subshifts. Our gen…

math.DS2018

Intrinsic ergodicity for factors of $(- β)$ -shifts

Mao Shinoda, Kenichiro Yamamoto

We show that every subshift factor of a ( $- β$ )-shift is intrinsically ergodic, when $β \geq \frac{1 + 5}{2}$ and the ( $- β$ )-expansion of $1$ is not periodic with odd period. Mo…

math.DS2017

Lyapunov optimization for non-generic one-dimensional expanding Markov maps

Mao Shinoda, Hiroki Takahasi

For a non-generic, yet dense subset of $C^{1}$ expanding Markov maps of the interval we prove the existence of uncountably many Lyapunov optimizing measures which are ergodic, fully…

Constrained Ergodic optimization for generic continuous functions

Density of periodic measures and large deviation principle for generalized (α,β)-transformations

On the absence of zero-temperature limit of equilibrium states for finite-range interactions on the lattice Z2

Symbolic dynamics in mean dimension theory

Intrinsic ergodicity for factors of (−β)-shifts

Lyapunov optimization for non-generic one-dimensional expanding Markov maps

Density of periodic measures and large deviation principle for generalized $(α, β)$ -transformations

On the absence of zero-temperature limit of equilibrium states for finite-range interactions on the lattice $Z^{2}$

Intrinsic ergodicity for factors of $(- β)$ -shifts