List of Papers (Hiroki TAKAHASI)
Preprints
- Yuto Nakajima and Hiroki TAKAHASI, A problem of Hirst for the Hurwitz continued fraction and the Hausdorff dimension of sets with restricted slowly growing digits, arXiv:2504.11144
- Hiroki TAKAHASI, Large Deviation Principles for periodic points of the Dyck shift, arXiv:2503.14164
- Yuto Nakajima and Hiroki TAKAHASI,
Fractal counterparts of density combinatorics theorems in continued fractions, arXiv:2502.10902
- Hiroki TAKAHASI,
The distribution of the largest digit for parabolic Iterated Function Systems of the interval, arXiv:2411.18297
- Hiroki TAKAHASI,
Distributions of periodic points for the heterochaos baker maps and the Dyck system, arXiv:2409.01261
- Hiroki TAKAHASI and Masato Tsujii ,
Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center, arXiv:2408.16618
- Mao Shinoda , Hiroki TAKAHASI and Kenichiro Yamamoto,
Ergodic optimization for continuous functions on the Dyck-Motzkin shifts, arXiv:2406.19828
- Mao Shinoda , Hiroki TAKAHASI and Kenichiro Yamamoto,
Ergodic optimization for continuous functions on non-Markov shifts, arXiv:2406.01123
- Yoshitaka Saiki, Hiroki TAKAHASI, Kenichiro Yamamoto and James A. Yorke, The dynamics of the
heterochaos baker maps, arXiv:2401.00836
- Johannes Jaerisch and Hiroki TAKAHASI, Large deviations of homological growth rates
for hyperbolic surfaces, arXiv:2306.10665
- Hiroki TAKAHASI and Masato Tsujii, Existence of large deviations rate function
for any S-unimodal map, arXiv:1908.07716
- Hiroki TAKAHASI, Prevalence of non-uniform hyperbolicity at the first bifurcation of Hénon-like families,
arXiv:1308.4199
Publications
- Gerardo González Robert,
Mumtaz Hussain,
Nikita Shulga and Hiroki TAKAHASI,
Restricted slowly growing digits for infinite iterated function systems, Journal of Mathematical Analysis and Applications, 549 (2025) 129478
- Yuto Nakajima and Hiroki TAKAHASI, Hausdorff dimension of sets with restricted, slowly growing partial quotients in semi-regular continued fractions, Journal of the Mathematical Society of Japan, to appear
- Johannes Jaerisch and Hiroki TAKAHASI, Multifractal analysis of homological growth rates
for hyperbolic surfaces, Ergodic Theory and Dynamical Systems, 45 (2025) 849--883.
- Hiroki TAKAHASI, Exponential mixing for heterochaos baker maps and the Dyck system,
Journal of Dynamics and Differential Equations, 36 (2024) published online
- Hiroki TAKAHASI and Kenichiro Yamamoto,
Heterochaos baker maps and the Dyck system: maximal entropy measures and a mechanism for the breakdown of entropy approachability, Proceedings of the American Mathematical Society, accepted in May 2023 DOI: https://doi.org/10.1090/proc/16538 Corrigendum
- Hiroki TAKAHASI, Level-2 large deviation principle for countable Markov shifts without Gibbs states, Journal of Statistical Physics, 190 (2023) Corrigendum submitted
- Yoshitaka Saiki, Hiroki TAKAHASI and James A. Yorke, Hausdorff dimension of Cantor intersections
and robust heterodimensional cycles for heterochaos horseshoe maps, SIAM Journal on Applied Dynamical Systems, 22 (2023) 1852--1876
- Shintaro Suzuki and Hiroki TAKAHASI, Distribution of cycles for one-dimensional random dynamical systems, Journal of Mathematical Analysis and Applications, 527 (2023) 127465
- Hiroki TAKAHASI, Hausdorff dimension of sets with restricted, slowly growing partial quotients, Proceedings of the American Mathematical Society, 151 (2023) 3645--3653
- Yoshitaka Saiki, Hiroki TAKAHASI and James A. Yorke, The twisted baker map, Nonlinearity, 36 (2023) 1776--1788
- Hiroki TAKAHASI, Statistical properties of periodic points for infinitely renormalizable unimodal maps,
Nonlinearity, 35 (2022) 6399--6421 (Lemma 2.1 in this paper quotes [Lemma 2.9, arXiv:1908.07716v1] that is actually incorrect. Lemma 2.1 follows from [Corollary 2.8, arXiv:1908.07716v2].)
- Hiroki TAKAHASI, Large deviation principle for the
backward continued fraction expansion, Stochastic Processes and Their Applications, 144 (2022) 153--172
- Yong Moo Chung and Hiroki TAKAHASI, Large deviation principle for S-unimodal maps
with flat critical points,
Journal of the Mathematical Society of Japan, 74 (2022) 129--150
- Lulu Fang, Hiroki TAKAHASI and Yiwei Zhang, Precise asymptotics on the Birkhoff sums for dynamical systems,
Nonlinearity, 34 (2021) 7095--7108
- Yoshitaka Saiki, Hiroki TAKAHASI and James A. Yorke, Piecewise linear maps with heterogeneous chaos, Nonlinearity, 34 (2021) 5744--5761 (In (1.1), x mod 1 should be 3x mod 1, an error due to publisher.)
- Johannes Jaerisch and Hiroki TAKAHASI, Mixed multifractal spectra of Birkhoff averages for
non-uniformly expanding one-dimensional
Markov maps with countably many branches, Advances in Mathematics, 385 (2021) 107778
- Hiroki TAKAHASI, Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points,
Journal of Statistical Physics, 181 (2020) 2415--2431
- Hiroki TAKAHASI, Large deviations for denominators of continued fractions, Nonlinearity, 33 (2020) 5861--5874
- Mao Shinoda and Hiroki TAKAHASI, Lyapunov optimization for non-generic one-dimensional expanding
Markov maps,
Ergodic Theory
and Dynamical Systems, 40 (2020) 2571--2592.
- Hiroki TAKAHASI, Dynamics of the Hénon maps (Japanese), Sūgaku,
72 (2020) 250---263.
- Hiroki TAKAHASI, Entropy-approachability for transitive Markov shifts over infinite alphabet,
Proceedings of the American Mathematical Society, 148 (2020) 3847--3857.
- Hiroki TAKAHASI, Large Deviation Principle for arithmetic functions in continued fraction expansion,
Monatshefte für Mathematik, 190 (2019) 137--152.
- Yong Moo Chung, Juan Rivera-Letelier and Hiroki TAKAHASI, Large deviation principle in one-dimensional dynamics,
Inventiones mathematicae, 218 (2019) 853--888.
- Hiroki TAKAHASI, Large Deviation Principles for countable Markov shifts, Transactions of the American Mathematical Society, 372 (2019), 7831--7855.
- Zin Arai, Yutaka Ishii and Hiroki TAKAHASI, Boundary of the horseshoe locus for the Hénon family,
SIAM Journal on Applied Dynamical Systems, 17 (2018) 2234--2248.
- Hiroki TAKAHASI, Lyapunov spectrum for Hénon-like maps at the first bifurcation,
Ergodic Theory and Dynamical Systems,
38 (2018), 1168--1200.
- Hiroki TAKAHASI, Removal of phase transition in the Chebyshev quadratic
and thermodynamics for Hénon-like maps near the first bifurcation,
Journal of Statistical Physics, 164 (2016), 1354--1378.
- Hiroki TAKAHASI,
Equilibrium measures at temperature zero for Hénon-like maps
at the first bifurcation,
SIAM Journal on Applied Dynamical Systems,
15 (2016), 106--124.
- Hiroki TAKAHASI, Birkhoff spectrum for Hénon-like maps
at the first bifurcation,
Dynamical Systems: An International Journal,
31 (2016), 41--59.
- Samuel Senti and Hiroki TAKAHASI, Equilibrium measures for the Hénon map at the first bifurcation:
uniqueness and geometric/statistical properties,
Ergodic Theory and Dynamical Systems, 36 (2016), 215--255.
- Yong Moo Chung and Hiroki TAKAHASI, Multifractal formalism for Benedicks-Carleson quadratic maps,
Ergodic Theory and Dynamical Systems,
34 (2014), 1116--1141.
- Samuel Senti and Hiroki TAKAHASI, Equilibrium measures for the Hénon map at the first bifurcation,
Nonlinearity,
26 (2013), 1719--1741
- Yong Moo Chung and Hiroki TAKAHASI, Large deviation principle for Benedicks-Carleson quadratic maps,
Communications in Mathematical Physics, 315 (2012), 803--826.
- Hiroki TAKAHASI, Statistical properties of non-uniformly expanding 1d maps with logarithmic singularities, Nonlinearity, 25 (2012), 551--567.
- Hiroki TAKAHASI and Qiudong Wang, Non-uniformly expanding 1d maps with logarithmic singularities, 25 (2012), 533--550.
- Hiroki TAKAHASI, Prevalent dynamics at the first bifurcation of Hénon-like families,
Communications in Mathematical Physics, 312 (2012), 37--85.
- Hiroki TAKAHASI, Abundance of non-uniform hyperbolicity in bifurcations of surface endomorphisms,
Tokyo Journal of Mathematics, 34 (2011), 53--113.
- Stefano Luzzatto and Hiroki TAKAHASI, Computable conditions for the occurrence of non-uniform hyperbolicity
in families of one-dimensional maps,
19 (2006), 1657--1695.
- Hiroki TAKAHASI, On the basin problem for Hénon-like attractors,
Journal of Mathematics of Kyoto University, 46 (2006), 303--348.
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