8 citations · 8 across the 7 of their papers we have counts for
7 papers
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…
Density of periodic measures and large deviation principle for generalized -transformations
Mao Shinoda, Kenichiro Yamamoto
We introduce generalized -transformations, which include all and generalized -transformations, and prove that all transitive generalized -transformations s…
On the absence of zero-temperature limit of equilibrium states for finite-range interactions on the lattice
J. -R. Chazottes, M. Shinoda
We construct finite-range interactions on , where is a finite set, for which the associated equilibrium states (i.e., the shift-invariant…
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 -subshifts. Our gen…
Intrinsic ergodicity for factors of -shifts
Mao Shinoda, Kenichiro Yamamoto
We show that every subshift factor of a ()-shift is intrinsically ergodic, when and the ()-expansion of is not periodic with odd period. Mo…
Lyapunov optimization for non-generic one-dimensional expanding Markov maps
Mao Shinoda, Hiroki Takahasi
For a non-generic, yet dense subset of expanding Markov maps of the interval we prove the existence of uncountably many Lyapunov optimizing measures which are ergodic, fully…
Ergodic Maximizing Measures of Non-Generic, Yet Dense Continuous Functions
Mao Shinoda
Ergodic optimization aims to single out dynamically invariant Borel probability measures which maximize the integral of a given "performance" function. For a continuous self-map of…