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Hausdorff dimension of sets with restricted, slowly growing partial quotients

Proceedings of the American Mathematical Society, 2023-09, Vol.151 (9), p.3645

Takahasi, Hiroki

2023

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Entropy-approachability for transitive Markov shifts over infinite alphabet

Proceedings of the American Mathematical Society, 2020-09, Vol.148 (9), p.3847-3857

Takahasi, Hiroki

2020

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Large deviation principle for the backward continued fraction expansion

Stochastic processes and their applications, 2022-02, Vol.144, p.153-172

Takahasi, Hiroki

2022

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Large deviation principles for countable Markov shifts

Transactions of the American Mathematical Society, 2019-12, Vol.372 (11), p.7831-7855

Takahasi, Hiroki

2019

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Large deviation principle for arithmetic functions in continued fraction expansion

Monatshefte für Mathematik, 2019-09, Vol.190 (1), p.137-152

Takahasi, Hiroki

2019

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Removal of Phase Transition in the Chebyshev Quadratic and Thermodynamics for Hénon-Like Maps Near the First Bifurcation

Journal of statistical physics, 2016-09, Vol.164 (6), p.1354-1378

Takahasi, Hiroki

2016

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Dynamics of the Hénon maps

SUGAKU, 2020/07/22, Vol.72(3), pp.250-263

Takahasi, Hiroki

2020

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Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation

SIAM journal on applied dynamical systems, 2016-01, Vol.15 (1), p.106-124

Takahasi, Hiroki

2016

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Lyapunov optimization for non-generic one-dimensional expanding Markov maps

Ergodic theory and dynamical systems, 2020-09, Vol.40 (9), p.2571-2592

2020

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Birkhoff spectrum for Hénon-like maps at the first bifurcation

Dynamical systems (London, England), 2016-01, Vol.31 (1), p.41-59

Takahasi, Hiroki

2016

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The twisted baker map

Nonlinearity, 2023-03, Vol.36 (3), p.1776-1788

2023

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Correction to: Level-2 Large Deviation Principle for Countable Markov Shifts Without Gibbs States

Journal of statistical physics, 2024-03, Vol.191 (4), Article 41

Takahasi, Hiroki

2024

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Large deviation principle in one-dimensional dynamics

Inventiones mathematicae, 2019-12, Vol.218 (3), p.853-888

2019

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Level-2 Large Deviation Principle for Countable Markov Shifts Without Gibbs States

Journal of statistical physics, 2023-07, Vol.190 (7), Article 120

Takahasi, Hiroki

2023

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Statistical properties of periodic points for infinitely renormalizable unimodal maps

Nonlinearity, 2022-12, Vol.35 (12), p.6399-6421

Takahasi, Hiroki

2022

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Exponential Mixing for Heterochaos Baker Maps and the Dyck System

Journal of dynamics and differential equations, 2024-06

Takahasi, Hiroki

2024

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Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties

Ergodic theory and dynamical systems, 2016-02, Vol.36 (1), p.215-255

2016

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Uniqueness of Minimizer for Countable Markov Shifts and Equidistribution of Periodic Points

Journal of statistical physics, 2020-12, Vol.181 (6), p.2415-2431

Takahasi, Hiroki

2020

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Large deviations for denominators of continued fractions

Nonlinearity, 2020-11, Vol.33 (11), p.5861-5874

Takahasi, Hiroki

2020

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Large Deviation Principle for Benedicks-Carleson Quadratic Maps

Communications in mathematical physics, 2012-11, Vol.315 (3), p.803-826

2012

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Distribution of cycles for one-dimensional random dynamical systems

Journal of mathematical analysis and applications, 2023-11, Vol.527 (2), p.127465, Article 127465

2023

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Multifractal formalism for Benedicks–Carleson quadratic maps

Ergodic theory and dynamical systems, 2014-08, Vol.34 (4), p.1116-1141

2014

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Abundance of Non-uniform Hyperbolicity in Bifurcations of Surface Endomorphisms

Tokyo journal of mathematics, 2011-06, Vol.34 (1), p.53-113

TAKAHASI, Hiroki

2011

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Boundary of the Horseshoe Locus for the Hénon Family

SIAM journal on applied dynamical systems, 2018-01, Vol.17 (3), p.2234-2248

2018

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Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches

Advances in mathematics (New York. 1965), 2021-07, Vol.385, p.107778, Article 107778

2021

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Hausdorff dimension of sets with restricted, slowly growing partial quotients

Entropy-approachability for transitive Markov shifts over infinite alphabet

Large deviation principle for the backward continued fraction expansion

Large deviation principles for countable Markov shifts

Large deviation principle for arithmetic functions in continued fraction expansion

Removal of Phase Transition in the Chebyshev Quadratic and Thermodynamics for Hénon-Like Maps Near the First Bifurcation

Dynamics of the Hénon maps

Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation

Lyapunov optimization for non-generic one-dimensional expanding Markov maps

Birkhoff spectrum for Hénon-like maps at the first bifurcation

The twisted baker map

Correction to: Level-2 Large Deviation Principle for Countable Markov Shifts Without Gibbs States

Large deviation principle in one-dimensional dynamics

Level-2 Large Deviation Principle for Countable Markov Shifts Without Gibbs States

Statistical properties of periodic points for infinitely renormalizable unimodal maps

Exponential Mixing for Heterochaos Baker Maps and the Dyck System

Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties

Uniqueness of Minimizer for Countable Markov Shifts and Equidistribution of Periodic Points

Large deviations for denominators of continued fractions

Large Deviation Principle for Benedicks-Carleson Quadratic Maps

Distribution of cycles for one-dimensional random dynamical systems

Multifractal formalism for Benedicks–Carleson quadratic maps

Abundance of Non-uniform Hyperbolicity in Bifurcations of Surface Endomorphisms

Boundary of the Horseshoe Locus for the Hénon Family

Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches

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