20 citations · 37 across the 6 of their papers we have counts for
8 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…
The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows
Thiago Bomfim, Paulo Varandas
In this article we introduce a gluing orbit property, weaker than specification, for both maps and flows. We prove that flows with the -robust gluing orbit property are unifor…
Multifractal analysis of the irregular set for almost-additive sequences via large deviations
Thiago Bomfim, Paulo Varandas
In this paper we introduce a notion of free energy and large deviations rate function for asymptotically additive sequences of potentials via an approximation method by families of…
Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets
Thiago Bomfim, Paulo Varandas
In this article we prove estimates for the topological pressure of the set of points whose Birkhoff time averages are far from the space averages corresponding to the unique equili…
Differentiability of thermodynamical quantities in non-uniformly expanding dynamics
Thiago Bomfim, Armando Castro, Paulo Varandas
In this paper we study the ergodic theory of a robust non-uniformly expanding maps where no Markov assumption is required. We prove that the topological pressure is differentiable…