28 citations · 132 across the 43 of their papers we have counts for
4 papers · 1 filter
Piecewise-linear maps with heterogeneous chaos
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
Chaotic dynamics can be quite heterogeneous in the sense that in some regions the dynamics are unstable in more directions than in other regions. When trajectories wander between t…
Large Deviation Principle for arithmetic functions in continued fraction expansion
Hiroki Takahasi
Khinchin proved that the arithmetic mean of continued fraction digits of Lebesgue almost every irrational number in diverges to infinity. Hence, none of the classical limit…
Boundary of the horseshoe locus for the Hénon family
Zin Arai, Yutaka Ishii, Hiroki Takahasi
The purpose of this article is to investigate geometric properties of the parameter locus of the Hénon family where the uniform hyperbolicity of a horseshoe breaks down. As an appl…
Large Deviation Principles for countable Markov shifts
Hiroki Takahasi
We establish the large deviation principle for a topological Markov shift over infinite alphabet which satisfies strong combinatorial assumptions called ``finite irreducibility'' o…