4 papers · 1 filter
Thermodynamic formalism and multifractal analysis of Birkhoff averages for non-uniformly expanding Rényi interval maps with countably many branches
Yuya Arima
In this paper, we study the multifractal spectrum of Birkhoff averages for non-uniformly expanding Rényi interval maps with countably many branches. Our main theorem substantially…
Thermodynamic formalism and multifractal analysis of Birkhoff averages for non-uniformly expanding interval maps with finitely many branches
Yuya Arima
In this paper, we perform a multifractal analysis of Birkhoff averages for interval maps with finitely many branches and parabolic fixed points. Using the thermodynamic approach, w…
Bowen's formula and the difference between random iterated function systems and random recursive constructions
Yuya Arima
In this paper, we show that the difference in independence structures between random iterated function systems and random recursive constructions is reflected in the validity of Bo…
Multifractal analysis of the Lyapunov exponent for random graph directed Markov systems
Yuya Arima
In this paper, we perform the multifractal analysis of the Lyapunov exponent for random conformal graph directed Markov systems introduced by Roy and Urbański (2011). We also gener…