Keio University

Published papers

Takahashi, Hiroki

1-20 items (total 51)

Annealed and quenched representations of the Gauss-Rényi measure by ``periodic points''

Author
Shintaro Suzuki, Hiroki Takahasi
Publication Title
(Publication Date)2026)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Hausdorff dimension of sets of numbers whose continued fractions contain arbitrarily long arithmetic progressions

Author
Yuto Nakajima, Hiroki Takahasi, Baowei Wang
Publication Title
(Publication Date)2026)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Density combinatorics theorems in fractal dimension theory of continued fractions

Author
Yuto Nakajima, Hiroki Takahasi
Publication Title
Start Page 110635 (Publication Date)2025)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The distribution of the largest digit for parabolic Iterated Function Systems of the interval

Author
Hiroki Takahasi
Publication Title
Start Page 151 - End Page 169 (Publication Date)2026)
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The recurrence spectrum for dynamical systems beyond specification

Author
Hiroki Takahasi
Publication Title
Start Page 045014 (Publication Date)2026)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Existence of large deviations rate function for any S-unimodal map

Author
Hiroki Takahasi, Masato Tsujii
Publication Title
(Publication Date)2026)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

The dynamics of the heterochaos baker maps

Author
Yoshitaka Saiki, Hiroki Takahasi, Kenichiro Yamamoto, James A. Yorke
Publication Title
(Publication Date)2026)
Role
Corresponding Author
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

A problem of Hirst for the Hurwitz continued fraction and the Hausdorff dimension of sets with restricted slowly growing digits

Author
Yuto Nakajima, Hiroki Takahasi
Publication Title
(Publication Date)2025)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Ergodic optimization for continuous functions on the Dyck-Motzkin shifts

Author
Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto
Publication Title
(Publication Date)2025)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Large deviations of homological growth rates for hyperbolic surfaces

Author
Johannes Jaerisch, Hiroki Takahasi
Publication Title
(Publication Date)2025)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Ergodic optimization for continuous functions on non-Markov shifts

Author
Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto
Publication Title
(Publication Date)2025)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Restricted slowly growing digits for infinite iterated function systems

Author
Gerardo Gonzalez Robert, Mumtaz Hussain, Nikita Shulga, Hiroki Takahasi
Publication Title
(Publication Date)2025)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center

Author
Hiroki Takahasi, Masato Tsujii
Publication Title
(Publication Date)2025)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Distributions of periodic points for the heterochaos baker maps and the Dyck system

Author
Hiroki Takahasi
Publication Title
(Publication Date)2025)
Role
First Author
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Hausdorff dimension of sets with restricted, slowly growing partial quotients in semi-regular continued fractions

Author
Yuto Nakajima, Hiroki Takahasi
Publication Title
(Publication Date)2024)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps

Author
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
Publication Title
(Publication Date)2023)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Distribution of cycles for one-dimensional random dynamical systems

Author
鈴木新太郎, 高橋博樹
Publication Title
(Publication Date)2023)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

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

Author
高橋博樹, 山本謙一郎
Publication Title
(Publication Date)2023)
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Multifractal analysis of homological growth rates for hyperbolic surfaces

Author
Johannes Jaerisch, Hiroki Takahasi
Publication Title
(Publication Date)2024)
Authorship Category
Joint Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With

Exponential mixing for heterochaos baker maps and the Dyck system

Author
Hiroki Takahasi
Publication Title
Magazine name Journal of Dynamics and Differential Equations Publisher Springer (Publication Date)2024)
Role
First Author
Authorship Category
Single Work
Publication Category
Research paper (scientific journal)
Peer-review Status
With