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7 papers · 2 filters
Scale Recurrence Lemma and Dimension Formula for Cantor Sets in the Complex Plane
Carlos Gustavo T. de A. Moreira, Alex Mauricio Zamudio
We will prove a multidimensional conformal version of the scale recurrence lemma of Moreira and Yoccoz \cite{MY} for Cantor sets in the complex plane. We then use this new recurren…
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…
Maximal entropy measures of diffeomorphisms of circle fiber bundles
Raúl Ures, Marcelo Viana, Jiagang Yang
We characterize the maximal entropy measures of partially hyperbolic C^2 diffeomorphisms whose center foliations form circle bundles, by means of suitable finite sets of saddle poi…
Periodic point free homeomorphisms and irrational rotation factors
Alejandro Kocsard
We provide a complete characterization of periodic point free homeomorphisms of the -torus admitting irrational circle rotations as topological factors. Given a homeomorphism of…
Robust degenerate unfoldings of cycles and tangencies
Pablo G. Barrientos, Artem Raibekas
We construct open sets of degenerate unfoldings of heterodimensional cycles of any co-index and homoclinic tangencies of arbitrary codimension . These sets are known to…
Historic behavior in non-hyperbolic homoclinic classes
Pablo G. Barrientos, Shin Kiriki, Yushi Nakano +2
We show that -generically for diffeomorphisms of manifolds of dimension , a homoclinic class containing saddles of different indices has a residual subset where the or…