38 citations · 99 across the 24 of their papers we have counts for
27 papers
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…
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…
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…
On the selection of subaction and measure for perturbed potentials
Renaud Leplaideur, Jairo K Mengue
We prove that when the Aubry set for a Lipschitz continuous potential is a subshift of finite type, then the pressure function converges exponentially fast to its asymptote as the…
An Estimation of Phase Transition
Shamsa Ishaq, Renaud Leplaideur
In [8], H. Bruin and R. Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \b{eta}c > 0. This paper will prove that…
The Jacaranda tree is strongly aperiodic and has zero entropy
Alexandre Baraviera, Renaud Leplaideur
We prove that the Jacaranda tree obtained as a fixed point for a substreetution in previous work of the authors is strongly aperiodic and that the number of patches increases linea…