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of 145
pro vyhledávání: '"Yamamoto, Kenichiro"'
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 of transitive subshifts over a finite alphabet that are not intrinsic
Externí odkaz:
http://arxiv.org/abs/2406.19828
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 over a finite alphabet, we show that the space of continuous function
Externí odkaz:
http://arxiv.org/abs/2406.01123
The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced by Saiki et al. (2018), to provide a hands-on, elementary understanding of complicated phenomena in systems of large degrees of freedom. We review recent progr
Externí odkaz:
http://arxiv.org/abs/2401.00836
Autor:
Takahasi, Hiroki, Yamamoto, Kenichiro
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 in [Y. Saiki, H. Takahasi, J. A. Yorke, Nonlinearity, 34 (2021), 5744-
Externí odkaz:
http://arxiv.org/abs/2209.04905
Autor:
Shinoda, Mao, Yamamoto, Kenichiro
We introduce generalized $(\alpha,\beta)$-transformations, which include all $(\alpha,\beta)$ and generalized $\beta$-transformations, and prove that all transitive generalized $(\alpha,\beta)$-transformations satisfy the level-2 large deviation prin
Externí odkaz:
http://arxiv.org/abs/2206.09601
Autor:
Nakano, Yushi, Yamamoto, Kenichiro
Publikováno v:
Tokyo Journal of Mathematics 44 (2021) 495-506
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 piecewise monotonic maps with two monotonic pieces), we show that the s
Externí odkaz:
http://arxiv.org/abs/1912.12081
Autor:
Yamamoto, Kenichiro
We prove that all ($\alpha$-$\beta$)-shifts with $0\le \alpha<1$ and $\beta>2$ are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with the metric entropy.
Externí odkaz:
http://arxiv.org/abs/1912.03813
Autor:
Shinoda, Mao, Yamamoto, Kenichiro
We show that every subshift factor of a ($-\beta$)-shift is intrinsically ergodic, when $\beta\geq \frac{1+\sqrt{5}}{2}$ and the ($-\beta$)-expansion of $1$ is not periodic with odd period. Moreover, the unique measure of maximal entropy satisfies a
Externí odkaz:
http://arxiv.org/abs/1810.11135
Autor:
Yamamoto, Kenichiro
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 an application, we show that the $(-\beta)$-transformation satisfies a
Externí odkaz:
http://arxiv.org/abs/1611.03978
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