La théorie des catastrophes. V. Transformées de Legendre et thermodynamique
La trilogie du moment
A toute deux-forme fermée, sur une variété connexe, on associe une famille d’extensions centrales du groupe de ses automorphismes par son tore des périodes. On discute ensuite quelques propriétés de cette construction.
Labeled Rauzy classes and framed translation surfaces
In this paper, we compare two definitions of Rauzy classes. The first one was introduced by Rauzy and was in particular used by Veech to prove the ergodicity of the Teichmüller flow. The second one is more recent and uses a “labeling” of the underlying intervals, and was used in the proof of some recent major results about the Teichmüller flow.The Rauzy diagrams obtained from the second definition are coverings of the initial ones. In this paper, we give a formula that gives the degree of this covering.This...
Lagrange schwarzian derivative and symplectic Sturm theory
Lagrangian approach to dispersionless KdV hierarchy.
Lagrangian embeddings and critical point theory
Lagrangian singularities of invariant tori of hamiltonian systems with two degrees of freedom.
Lagrangian theory for presymplectic systems
Lagrangian tori in a sympletic vector space and global symplectomorphisms.
Languages of finite words occurring infinitely many times in an infinite word
We give necessary and sufficient conditions for a language to be the language of finite words that occur infinitely many times in an infinite word.
Languages of finite words occurring infinitely many times in an infinite word
We give necessary and sufficient conditions for a language to be the language of finite words that occur infinitely many times in an infinite word.
Large deviation asymptotics for Anosov flows
Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes.
Large deviations for generic stationary processes
Let (Ω,A,μ,T) be a measure preserving dynamical system. The speed of convergence in probability in the ergodic theorem for a generic function on Ω is arbitrarily slow.
Large deviations, Gibbs measures and closed orbits for hyperbolic flows.
Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation.
Large energy simple modes for a class of Kirchhoff equations.
Large group actions on manifolds.
Large sets of integers and hierarchy of mixing properties of measure preserving systems
We consider a hierarchy of notions of largeness for subsets of ℤ (such as thick sets, syndetic sets, IP-sets, etc., as well as some new classes) and study them in conjunction with recurrence in topological dynamics and ergodic theory. We use topological dynamics and topological algebra in βℤ to establish connections between various notions of largeness and apply those results to the study of the sets of times of “fat intersection”. Among other things we show that the sets allow one to distinguish...
Lasota-Yorke maps with holes : conditionally invariant probability measures and invariant probability measures on the survivor set