Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Leplaideur, Renaud"'
Autor:
Leplaideur, Renaud, Mengue, Jairo K
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 temperature goes to 0. The speed of convergence turns out to be the un
Externí odkaz:
http://arxiv.org/abs/2404.02182
Autor:
Ishaq, Shamsa, Leplaideur, Renaud
Publikováno v:
Nonlinearity, 35(3):1311,2022
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 transition in pressure function cannot appear within the interval
Externí odkaz:
http://arxiv.org/abs/2309.04402
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 linearly with respect to the size of the patch. As a consequence we get tha
Externí odkaz:
http://arxiv.org/abs/2304.08039
We define a nonlinear thermodynamical formalism which translates into dynamical system theory the statistical mechanics of generalized mean-field models, extending investigation of the quadratic case by Leplaideur and Watbled. Under suitable conditio
Externí odkaz:
http://arxiv.org/abs/2002.00576
Autor:
Leplaideur, Renaud
We prove that any 3-dimensional singular hyperbolic attractor admits for any H\"older continuous potential $V$ at most one equilibrium state for $V$ among regular measures. We give a condition on $V$ which ensures that no singularity can be an equili
Externí odkaz:
http://arxiv.org/abs/1905.06202
Publikováno v:
Ergodic Theory & Dynamical Systems; Sep2024, Vol. 44 Issue 9, p2399-2453, 55p
Autor:
Leplaideur, Renaud, Rios, Isabel
We construct an explicit example of family of non-uniformly hyperbolic diffeomorphisms, at the boundary of the set of uniformly hyperbolic systems, with one orbit of cubic heteroclinic tangency. One of the leaves involved in this heteroclinic tangenc
Externí odkaz:
http://arxiv.org/abs/1512.06967
This paper studies properties of a Renormalization Operator for potentials in symbolic dynamics. These operators first appeared in \cite{BLL} and the link with substitutions was done in \cite{BL1}. Their fixed points are natural candidates to have pa
Externí odkaz:
http://arxiv.org/abs/1511.03322
Autor:
Bruin, Henk, Leplaideur, Renaud
We examine the renormalization operator determined by the Fibonacci substitution. We exhibit a fixed point and determine its stable leaf (under iteration of the operator). Then, we study the thermodynamic formalism for po- tentials in this stable lea
Externí odkaz:
http://arxiv.org/abs/1309.7934
Autor:
Leplaideur, Renaud
We exhibit examples of mixing subshifts of finite type and potentials such that there are phase transitions but the pressure is always strictly convex. More surprisingly, we show that the pressure can be analytic on some interval although there exist
Externí odkaz:
http://arxiv.org/abs/1301.5413