3 papers
math.DS2025
Freezing phase transition for the Thue-Morse subshift
Nicolas Bédaride, Julien Cassaigne, Pascal Hubert +1
On the full shift on two symbols, we consider the potential defined by where denotes the longest common prefix between the infinite word and an element…
math.DS2025
Limits of equilibrium states for coupled weakly interacting systems. Application to the measure of maximal entropy
Renaud Leplaideur
We study metastability for symbolic dynamic. We prove that for a global system given by two independent sub-systems linked by a hole, and for a Lipschitz continuous potential, the…
math.DS2025
On the speed of convergence of the pressure function at zero temperature
Renaud Leplaideur
We prove here that the pressure function cannot converge to the limit entropy at zero temperature faster than some exponential rate. Furthermore, we characterize this limit rate vi…