Mechanical analogy for the wave-particle: Helix on a vortex filament.
Melnikov deviations and limit cycles for Lienard equations
Meromorphic extensions of generalised zeta functions.
Mertens theorem and closed orbits of ergodic toral automorphisms.
Mesure invariante pour le système d’équations stochastiques du modèle de competition avec diffusion spatiale
Mesures invariantes ergodiques pour des produits gauches
Soit un espace mesurable muni d’une transformation bijective bi-mesurable . Soit une application mesurable de dans un groupe localement compact à base dénombrable . Nous notons l’extension de , induite par , au produit . Nous donnons une description des mesures positives -invariantes et ergodiques. Nous obtenons aussi une généralisation du théorème de réduction cohomologique de O.Sarig [5] à un groupe LCD quelconque.
Mesures invariantes pour les fractions rationnelles géométriquement finies
Let T be a geometrically finite rational map, p(T) its petal number and δ the Hausdorff dimension of its Julia set. We give a construction of the σ-finite and T-invariant measure equivalent to the δ-conformal measure. We prove that this measure is finite if and only if . Under this assumption and if T is parabolic, we prove that the only equilibrium states are convex combinations of the T-invariant probability and δ-masses at parabolic cycles.
Mesures invariantes sur des ensembles autosimilaires
Metastability in the Furstenberg-Zimmer tower
According to the Furstenberg-Zimmer structure theorem, every measure-preserving system has a maximal distal factor, and is weak mixing relative to that factor. Furstenberg and Katznelson used this structural analysis of measure-preserving systems to provide a perspicuous proof of Szemerédi’s theorem. Beleznay and Foreman showed that, in general, the transfinite construction of the maximal distal factor of a separable measure-preserving system can extend arbitrarily far into the countable ordinals....
Méthodes de changement d’échelles en analyse complexe
Nous mettons en perspective différentes méthodes de changement d’échelles et illustrons leur pertinence en mettant sur pieds des preuves simples et élémentaires de plusieurs théorèmes biens connus en analyse ou géométrie complexe. Les situations abordées sont variées et la plupart des théorèmes démontrés sont des classiques initialement obtenus entre la fin du xixe et la seconde moitié du xxe siècle.
Methods for determination and approximation of the domain of attraction in the case of autonomous discrete dynamical systems.
Metric and arithmetic properties of mediant-Rosen maps
Metric diophantine approximation in Julia sets of expanding rational maps
Metric Entropy of Nonautonomous Dynamical Systems
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (Xn, μn) of probability spaces and a sequence of measurable maps fn : Xn → Xn+1 with fnμn = μn+1. This notion generalizes the classical concept of metric entropy established by Kolmogorov and Sinai, and is related via a variational inequality to the topological entropy of nonautonomous systems as defined by Kolyada, Misiurewicz, and Snoha. Moreover, it shares several properties with the classical notion...
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics.
Métriques à entropie topologique positive sur
Microscopic irreversibility.
Mild law of large numbers and its consequences
Minimal actions of homeomorphism groups
Let X be a closed manifold of dimension 2 or higher or the Hilbert cube. Following Uspenskij one can consider the action of Homeo(X) equipped with the compact-open topology on , the space of maximal chains in , equipped with the Vietoris topology. We show that if one restricts the action to M ⊂ Φ, the space of maximal chains of continua, then the action is minimal but not transitive. Thus one shows that the action of Homeo(X) on , the universal minimal space of Homeo(X), is not transitive (improving...
Minimal and distal functions on semidirect products of groups