15 citations · 52 across the 15 of their papers we have counts for
13 papers · 1 filter
Blaschke-type models for multimodal circle maps
Edson de Faria, Welington de Melo, Pedro A. S. Salomão +1
For each integer , we construct a finite-dimensional family of rational maps, given by Blaschke-type products, whose restriction to the unit circle consists of -multi…
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…
Dennis Sullivan's Work on Dynamics
Edson de Faria, Sebastian van Strien
In this expository paper, we provide the readers with an overview of Dennis Sullivan's major contributions to the area of Dynamical Systems.
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…
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…
Real bounds and quasisymmetric rigidity of multicritical circle maps
Gabriela Estevez, Edson de Faria
Let be two critical homeomorphisms of the circle with the same irrational rotation number and the same (finite) number of critical points, all of which are…
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…
On Sloane's persistence problem
Edson de Faria, Charles Tresser
We investigate the so-called persistence problem of Sloane, exploiting connections with the dynamics of circle maps and the ergodic theory of actions. We also formul…
Equidistribution of digits in powers and Diophantine approximations
Edson de Faria, Charles Tresser
Given integers with irrational, we investigate the connection between the conjectured asymptotic equidistribution of digits in the base- expansion of a…
Rigidity of critical circle mappings, II
Edson de Faria, Welington de Melo
We prove that any two real-analytic critical circle maps with cubic critical point and the same irrational rotation number of bounded type are conjugate for some .
Rigidity of critical circle mappings, I
Edson de Faria, Welington de Melo
We prove that two critical circle maps with the same rotation number of bounded type are conjugate for some provided their successive renormalizations converg…
Asymptotic rigidity of scaling ratios for critical circle mappings
Edson de Faria
In this paper we establish a-priori bounds for the scaling ratios of critical circle mappings in a form that gives also a compactness property for the renormalization operato…