Ergodicité de fonctions propres pour des problèmes aux limites
Ergodicité générique des billards polygonaux
Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles
Ergodicity and conservativity of products of infinite transformations and their inverses
We construct a class of rank-one infinite measure-preserving transformations such that for each transformation T in the class, the cartesian product T × T is ergodic, but the product is not. We also prove that the product of any rank-one transformation with its inverse is conservative, while there are infinite measure-preserving conservative ergodic Markov shifts whose product with their inverse is not conservative.
Ergodicity and extremality of AMS sources and channels.
Ergodicity and rigidity for certain subgroups of
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering only solutions which are independent of the space variable. This simplification leads to a degenerate stochastic equation in the tangent bundle of the 2D sphere. Studying this equation, we prove existence and non-uniqueness of invariant probability measures for the original problem and obtain also results on attractivity towards an invariant measure. We also...
Ergodicity for the stochastic complex Ginzburg–Landau equations
Ergodicity of ℤ² extensions of irrational rotations
Let = [0,1) be the additive group of real numbers modulo 1, α ∈ be an irrational number and t ∈ . We study ergodicity of skew product extensions T : × ℤ² → × ℤ², .
Ergodicity of Anosov Actions.
Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
Ergodicity of increments of the Rosenblatt process and some consequences
A new proof of the mixing property of the increments of Rosenblatt processes is given. The proof relies on infinite divisibility of the Rosenblatt law that allows to prove only the pointwise convergence of characteristic functions. Subsequently, the result is used to prove weak consistency of an estimator for the self-similarity parameter of a Rosenblatt process, and to prove the existence of a random attractor for a random dynamical system induced by a stochastic reaction-diffusion equation driven...
Ergodicity of PCA: equivalence between spatial and temporal mixing conditions.
Ergodicity of some classes of meromorphic functions.
Ergodicity of stochastically forced large scale geophysical flows.
Ergodicity of toral linked twist mappings
Ermakov's superintegrable toy and nonlocal symmetries.
Errata : «Classification géométrique des structures internes des systèmes dynamiques à 2 spins»
Erratum for "Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature".
A mistake was found in the reasoning leading to a Lagrangian which we considered as equivalent from the formula for the action S(γ) below the classical mechanical problem (3) on "Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature", page 271.
Erratum : “On the geometry of subbundles and Lagrange foliations”