Mao Shinoda

collaborators

3 papers

math.DS2025

The Aubry set for the XY model and typicality of periodic optimization for 2-locally constant potentials

Yuika Kajihara, Shoya Motonaga, Mao Shinoda

We consider the Aubry set for the XY model, symbolic dynamics $([0, 1]^{N_{0}}, σ)$ with the uncountable symbol $[0, 1]$ , and study its action-optimizing properties. Moreover,…

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

Hausdorff dimension of the parameters for $(α, β)$ -transformations with the specification property

Mai Oguchi, Mao Shinoda

In this paper we consider the specification property for $(α, β)$ -shifts. When $α = 0$ , Schmeling shows that the set of $β > 1$ for which the $β$ -shift has the specification property ha…

The Aubry set for the XY model and typicality of periodic optimization for 2-locally constant potentials

Ergodic optimization for continuous functions on the Dyck-Motzkin shifts

Hausdorff dimension of the parameters for (α,β)-transformations with the specification property

Hausdorff dimension of the parameters for $(α, β)$ -transformations with the specification property