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6 papers · 2 filters
Convergence of Rare Events Point Processes to the Poisson for billiards
Jorge Milhazes Freitas, Nicolai Haydn, Matthew Nicol
We show that for planar dispersing billiards the return times distribution is, in the limit, Poisson for metric balls almost everywhere w.r.t. the SRB measure. Since the Poincaré r…
Recurrence statistics for the space of Interval Exchange maps and the Teichmüller flow on the space of translation surfaces
Romain Aimino, Matthew Nicol, Mike Todd
In this note we show that the transfer operator of a Rauzy-Veech-Zorich renormalization map acting on a space of quasi-Hölder functions is quasicompact and derive certain statistic…
Cyclic stabilizers and infinitely many hyperbolic orbits for pseudogroups on (C,0)
Julio C. Rebelo, Helena Reis
Consider a pseudogroup on (C,0) generated by two local diffeomorphisms having analytic conjugacy classes a priori fixed in Diff(C,0). We show that a generic pseudogroup as above is…
Spiralling dynamics near heteroclinic networks
Alexandre A. P. Rodrigues, Isabel S. Labouriau
There are few explicit examples in the literature of vector fields exhibiting complex dynamics that may be proved analytically. We construct explicitly a {two parameter family of v…
Srb Measures For Almost Axiom A Diffeomorphisms
José F. Alves, Renaud Leplaideur
We consider a diffeomorphism f of a compact manifold M which is Almost Axiom A, i.e. f is hyperbolic in a neighborhood of some compact f-invariant set, except in some singular set…
Gibbs-Markov-Young structures with (stretched) exponential tail for partially hyperbolic attractors
Jose F. Alves, Xin Li
We study partially hyperbolic sets on a Riemannian manifold whose tangent space splits as , for which the center-unstable direction is no…