Hiroki Takahasi

activity

20052026

most citedPiecewise-linear maps with heterogeneous chaos

28 citations · 132 across the 43 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DS2017★ 1 cited

Equilibrium states at freezing phase transition in unimodal maps with flat critical point

Hiroki Takahasi

An $S$ -unimodal map $f$ with flat critical point satisfying the Misiurewicz condition displays a freezing phase transition in positive spectrum. We analyze statistical properties o…

math.DS2017★ 4 cited

Large Deviation Principle for $S$ -unimodal maps with flat critical point

Yong Moo Chung, Hiroki Takahasi

We study a topologically exact, negative Schwarzian unimodal map whose critical point is non-recurrent and flat. Assuming the critical order is either logarithmic or polynomial, we…

math.DS2017

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

Mao Shinoda, Hiroki Takahasi

For a non-generic, yet dense subset of $C^{1}$ expanding Markov maps of the interval we prove the existence of uncountably many Lyapunov optimizing measures which are ergodic, fully…

Equilibrium states at freezing phase transition in unimodal maps with flat critical point

Large Deviation Principle for S-unimodal maps with flat critical point

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

Large Deviation Principle for $S$ -unimodal maps with flat critical point