3 papers
math.DS2025
Density of spectral gap property for positively expansive dynamics and smooth potentials, with applications to the phase transition problem
Thiago Bomfim, Victor Carneiro
It is known that all uniformly expanding dynamics have no phase transition with respect to a Hölder continuous potential , in othe…
math.DS2022
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…
math.DS2021
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 …