Kenichiro Yamamoto

activity

20132022

most citedLarge deviations for systems with non-uniform structure

39 citations · 45 across the 8 of their papers we have counts for

collaborators

8 papers

math.DS2022

Heterochaos baker maps and the Dyck system: maximal entropy measures and a mechanism for the breakdown of entropy approachability

Hiroki Takahasi, Kenichiro Yamamoto

We introduce two parametrized families of piecewise affine maps on $[0, 1]^{2}$ and $[0, 1]^{3}$ , as generalizations of the heterochaos baker maps which were introduced and investigated…

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.DS2019★ 3 cited

Irregular sets for piecewise monotonic maps

Yushi Nakano, Kenichiro Yamamoto

For any transitive piecewise monotonic map for which the set of periodic measures is dense in the set of ergodic invariant measures (such as monotonic mod one transformations and p…

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.DS2016

On the one-way specification property and large deviations for non-transitive systems

Kenichiro Yamamoto

We introduce a weaker form of the specification property, called "one-way specification property", and give several examples of non-transitive systems satisfying this property. As…

math.DS2015

Specification and partial hyperbolicity for flows

Naoya Sumi, Paulo Varandas, Kenichiro Yamamoto

In this article we prove that if a flow exhibits a partially hyperbolic attractor and it has two periodic saddles with different indices, and the stable index of one of them coinci…

math.DS2013★ 3 cited

Partial hyperbolicity and specification

Naoya Sumi, Paulo Varandas, Kenichiro Yamamoto

We study the specification property for partially hyperbolic dynamical systems. In particular, we show that if a partially hyperbolic diffeomorphism has two saddles with different…

math.DS2013★ 39 cited

Large deviations for systems with non-uniform structure

Vaughn Climenhaga, Daniel J. Thompson, Kenichiro Yamamoto

We use a weak Gibbs property and a weak form of specification to derive level-2 large deviations principles for symbolic systems equipped with a large class of reference measures.…