43 citations · 132 across the 11 of their papers we have counts for
11 papers
Automorphic measures and invariant distributions for circle dynamics
Edson de Faria, Pablo Guarino, Bruno Nussenzveig
Let be a circle diffeomorphism with irrational rotation number. As established by Douady and Yoccoz in the eighties, for any given there exists a unique automo…
Renormalization of bicritical circle maps
Gabriela Estevez, Pablo Guarino
A general ansatz in Renormalization Theory, already established in many important situations, states that exponential convergence of renormalization orbits implies that topological…
Dynamics of multicritical circle maps
Edson de Faria, Pablo Guarino
This paper presents a survey of recent and not so recent results concerning the study of smooth homeomorphisms of the circle with a finite number of non-flat critical points, an im…
There are no -finite absolutely continuous invariant measures for multicritical circle maps
Edson de Faria, Pablo Guarino
It is well-known that every multicritical circle map without periodic orbits admits a unique invariant Borel probability measure which is purely singular with respect to Lebesgue m…
Quasisymmetric orbit-flexibility of multicritical circle maps
Edson de Faria, Pablo Guarino
Two given orbits of a minimal circle homeomorphism are said to be geometrically equivalent if there exists a quasisymmetric circle homeomorphism identifying both orbits and com…
Dirac physical measures on saddle-type fixed points
Pablo Guarino, Pierre-Antoine Guihéneuf, Bruno Santiago
In this article we study some statistical aspects of surface diffeomorphisms. We first show that for a generic diffeomorphism, a Dirac invariant measure whose \emph{statistic…
Beau bounds for multicritical circle maps
Gabriela Estevez, Edson de Faria, Pablo Guarino
Let be a homeomorphism without periodic points having a finite number of critical points of power-law type. In this paper we establish real a-priori bounds, o…
Ergodic properties of bimodal circle maps
Sylvain Crovisier, Pablo Guarino, Liviana Palmisano
We give conditions that characterize the existence of an absolutely continuous invariant probability measure for a degree one endomorphism of the circle which is bimodal, suc…
Rigidity of critical circle maps
Pablo Guarino, Marco Martens, Welington de Melo
We prove that any two critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a circle diffeomorphism.…
Real bounds and Lyapunov exponents
Edson de Faria, Pablo Guarino
We prove that a critical circle map without periodic points has zero Lyapunov exponent with respect to its unique invariant Borel probability measure. Moreover, no critical p…
Rigidity of smooth critical circle maps
Pablo Guarino, Welington de Melo
We prove that any two critical circle maps with the same irrational rotation number of bounded type and the same odd criticality are conjugate to each other by a ci…