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101 papers · 1 filter
Uniform distribution mod for sequences of ergodic sums and continued fractions
Albert M. Fisher, Xuan Zhang
We establish a coboundary condition for a sequence of ergodic sums (i.e.~Birkhoff partial sums) to be almost surely uniformly distributed mod . Applications are given when the s…
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…
First-time sensitive homeomorphisms
Mayara Antunes, Bernardo Carvalho
We introduce first-time sensitivity for a homeomorphism of a compact metric space, that is a condition on the first increasing times of open balls of the space. Continuum-wise expa…
Rigidity of -Gibbs measures near conservative Anosov diffeomorphisms on
Sébastien Alvarez, Martin Leguil, Davi Obata +1
We show that within a -neighbourhood of the set of volume preserving Anosov diffeomorphisms on the three-torus which are strongly partially hyperb…
Non-uniformly hyperbolic endomorphisms
Martin Andersson, Pablo D. Carrasco, Radu Saghin
We show the existence of large open sets of area preserving endomorphisms of the two-torus which have no dominated splitting and are non-uniformly hyperbolic, meanin…
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…