28 citations · 132 across the 43 of their papers we have counts for
44 papers
Decay of correlations and normal approximation for nonstationary heterochaos baker maps
Juho Leppänen, Hiroki Takahasi
We study statistical properties of nonstationary compositions of a sequence of heterochaos baker maps. For maps whose central direction is mostly expanding, we establish three main…
The recurrence spectrum for dynamical systems beyond specification
Hiroki Takahasi
We introduce {\it (W')-specification} in terms of language decompositions of subshifts, and show that any recurrence set of a subshift with this property has full Hausdorff dimensi…
Hausdorff dimension of specification for the -shifts
Hiroki Takahasi
Specification is an important concept in dynamical systems introduced by Bowen. Schmeling proved that the set of such that the corresponding -shift has specification is of…
Large deviation principles for periodic points of the Dyck shift
Hiroki Takahasi
We investigate periodic points of the Dyck shift from the viewpoint of large deviations. We establish the level-2 Large Deviation Principle with the rate function given in terms of…
Exponential mixing for heterochaos baker maps and the Dyck system
Hiroki Takahasi
We investigate mixing properties of piecewise affine non-Markovian maps acting on or and preserving the Lebesgue measure, which are natural generalizations of t…
Large deviations of homological growth rates for hyperbolic surfaces
Johannes Jaerisch, Hiroki Takahasi
We perform a large deviations analysis of homological growth rates of oriented geodesics on hyperbolic surfaces. For surfaces uniformized by a wide class of Fuchsian groups of the…