4 papers
Phase transitions for surface diffeomorphisms
Thiago Bomfim, Paulo Varandas
In this paper we consider surface diffeomorphisms and study the existence of phase transitions, here expressed by the non-analiticity of the pressure function associated to s…
From thermodynamic and spectral phase transitions to multifractal analysis
Thiago Bomfim, Victor Carneiro, Afonso Fernandes
It is known that all uniformly expanding or hyperbolic dynamics have no phase transition with respect to Hölder continuous potentials. In \cite{BC21}, is proved that for all transi…
Thermodynamical and spectral phase transition for local diffeomorphisms in the circle
Thiago Bomfim, Victor Carneiro
It is known that all uniformly expanding dynamics have no phase transition with respect to Hölder continuous potentials. In this paper we show that given a local diffeomorphism …
Linear response, and consequences for differentiability of statistical quantities and Multifractal Analysis
Armando Castro, Thiago Bomfim
In this article we initially fix ourselves to smooth (C^r) expanding dynamical systems. We prove the C^{r-1} differentiability of the topological pressure, equilibrium states and t…