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- Centre National de la Recherche ScientifiqueFR105 papers
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6 papers · 2 filters
Continuity of Lyapunov exponents in the C0 topology
Marcelo Viana, Jiagang Yang
We prove that the Bochi-Mañé theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbo…
Expansivity and Shadowing in Linear Dynamics
Nilson C. Bernardes, Patricia R. Cirilo, Udayan B. Darji +2
In the early 1970's Eisenberg and Hedlund investigated relationships between expansivity and spectrum of operators on Banach spaces. In this paper we establish relationships betwee…
Pull-back components of the space of foliations of codimension
W. Costa e Silva, A. Lins Neto
We present a new list of irreducible components for the space of k-dimensional holomorphic foliations on , , . They are associated to pull-back of dim…
Uniqueness of dynamical zeta functions and symmetric products
Eduardo Blanco Gomez, Luis Hernandez-Corbato, Francisco R. Ruiz del Portal
A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uni…
Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
Chao Liang, Karina Marin, Jiagang Yang
We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In…
Measure-theoretical properties of center foliations
Marcelo Viana, Jiagang Yang
Center foliations of partially hyperbolic diffeomorphisms may exhibit pathological behavior from a measure-theoretical viewpoint: quite often, the disintegration of the ambient vol…