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6 papers · 2 filters
Livsic theorem for diffeomorphism cocycles
Artur Avila, Alejandro Kocsard, Xiao-Chuan Liu
We prove the so called Livšic theorem for cocycles taking values in the group of $C^{1+β}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypot…
Stable manifolds of two-dimensional biholomorphisms asymptotic to formal curves
Lorena López-Hernanz, Jasmin Raissy, Javier Ribón +1
Let be a germ of a holomorphic diffeomorphism and let be an invariant formal curve of . Assume that the restricted diffeomorphism …
Statistical stability of mostly expanding diffeomorphisms
Martin Andersson, Carlos H. Vásquez
We study how physical measures vary with the underlying dynamics in the open class of , , strong partially hyperbolic diffeomorphisms for which the central Lyapunov expon…
Existence of common zeros for commuting vector fields on -manifolds II. Solving global difficulties
Sébastien Alvarez, Christian Bonatti, Bruno Santiago
We address the following conjecture about the existence of common zeros for commuting vector fields in dimension three: if are two commuting vector fields on a -mani…
Adapted Metrics for Codimension one Singular Hyperbolic Flows
Luciana Salgado, Vinicius Coelho
For a partially hyperbolic splitting a vector field on a -manifold , we obtain singular hyperbolicity whether is one-dimensional subspace, based on the idea of…
Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms
Alejandro Kocsard, Fernanda Pereira-Rodrigues
This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that und…