Research Output per year

## Fingerprint Dive into the research topics where Hiroki Takahasi is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Bifurcation
Mathematics

Equilibrium Measure
Mathematics

Hyperbolicity
Mathematics

Large Deviation Principle
Mathematics

Limit Set
Mathematics

Probability Measure
Mathematics

Invariant Measure
Mathematics

Unstable
Mathematics

##
Network
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## Research Output 2006 2019

- 73 Citations
- 6 h-Index
- 19 Article

## Large deviation principle for arithmetic functions in continued fraction expansion

Takahasi, H., 2019 Jan 1, In : Monatshefte fur Mathematik.Research output: Contribution to journal › Article

Arithmetic Functions

Continued Fraction Expansion

Large Deviation Principle

Digit

Infinity

## Large deviation principle in one-dimensional dynamics

Chung, Y. M., Rivera-Letelier, J. & Takahasi, H., 2019 Jan 1, In : Inventiones Mathematicae.Research output: Contribution to journal › Article

Large Deviation Principle

Physical measure

Quadratic Map

Interval Maps

Law of large numbers

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

Shinoda, M. A. O. & Takahasi, H., 2019 Jan 1, In : Ergodic Theory and Dynamical Systems.Research output: Contribution to journal › Article

Lyapunov

Optimization

Shift Map

Subset

Equilibrium State

1
Citation
(Scopus)

## Boundary of the horseshoe locus for the Hénon family

Arai, Z., Ishii, Y. & Takahasi, H., 2018 Jan 1, In : SIAM Journal on Applied Dynamical Systems. 17, 3, p. 2234-2248 15 p.Research output: Contribution to journal › Article

Horseshoe

Machinery

Locus

Parameter Space

Equilibrium Measure

6
Citations
(Scopus)

## Equilibrium measures at temperature zero for Hénon-like maps at the first bifurcation

Takahasi, H., 2016, In : SIAM Journal on Applied Dynamical Systems. 15, 1, p. 106-124 19 p.Research output: Contribution to journal › Article

Equilibrium Measure

Free energy

Bifurcation

Unstable

Thermodynamics