Yuya Arima

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20242026

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math.DS2026

Thermodynamic formalism and multifractal analysis of Birkhoff averages for parabolic rational maps

Yuya Arima

In this paper, we study the multifractal analysis of Birkhoff averages for parabolic rational maps. We establish a conditional variational principle and prove the real analyticity…

math.DS2026

Existence of the Lyapunov exponent for $S$ -unimodal maps

Yuya Arima

In this paper, we show that for any $S$ -unimodal map $T$ on $[0, 1]$ with a non-flat critical point the Lyapunov exponent exists for Lebesgue almost every point and is equal to a co…

math.DS2026

Linear response asymmetry between SRB and physical measures for families of intermittent maps with a transition point

Yuya Arima

We study linear response for families of intermittent maps whose SRB measure undergoes a transition from finite to infinite total mass at a critical parameter value. Our results re…

Thermodynamic formalism and multifractal analysis of Birkhoff averages for parabolic rational maps

Existence of the Lyapunov exponent for S-unimodal maps

Linear response asymmetry between SRB and physical measures for families of intermittent maps with a transition point

Existence of the Lyapunov exponent for $S$ -unimodal maps