Maps of the interval Ljapunov stable on the set of nonwandering points.
Marches en milieu aléatoire et mesures quasi-invariantes pour un système dynamique
The invariant measures for a Markovian operator corresponding to a random walk, in a random stationary one-dimensional environment defined by a dynamical system, are quasi-invariant measures for the system. We discuss the construction of such measures in the general case and show unicity, under some assumptions, for a rotation on the circle.
Markov partitions for fibre expanding systems
Fibre expanding systems have been introduced by Denker and Gordin. Here we show the existence of a finite partition for such systems which is fibrewise a Markov partition. Such partitions have direct applications to the Abramov-Rokhlin formula for relative entropy and certain polynomial endomorphisms of ℂ².
Markov structures and decay of correlations for non-uniformly expanding dynamical systems
Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension.
Maslov index for Hamiltonian systems.
Maslov index for homoclinic orbits of hamiltonian systems
Maslov indices on the metaplectic group
We use the properties of to construct functions associated with the elements of the lagrangian grassmannian (n) which generalize the Maslov index on Mp(n) defined by J. Leray in his “Lagrangian Analysis”. We deduce from these constructions the identity between and a subset of , equipped with appropriate algebraic and topological structures.
Masse des pointes, temps de retour et enroulements en courbure négative
Soient un groupe discret géométriquement fini d’isométries d’une variété de Hadamard pincée et une pointe de l’orbifold associé . Munissant de sa mesure de Patterson-Sullivan , nous obtenons une estimation asymptotique de la masse d’un petit voisinage horocyclique de , moyennant une hypothèse sur la croissance du sous-groupe parabolique associé à , hypothèse qui est réalisée si est symétrique de rang . Nous en déduisons une estimation asymptotique du temps de retour du flot géodésique...
Mathematical model of dengue disease transmission with severe DHF compartment.
Mathematical theory for the Ginzburg-Landau approximation in semilinear pattern forming systems with time-periodic forcing applied to electro-convection in nematic liquid crystals
Mather measures and the Bowen–Series transformation
Mating quadratic maps with Kleinian groups via quasiconformal surgery.
Mating quadratic maps with the modular group.
Matings and the other side of the dictionary
In the theory of rational maps an important role is played by matings. These are probably the best understood of all rational functions, but they are bizarre, and involve gluing dendrites together to get spheres carrying Peano curves. In the theory of Kleinian groups, there is a parallel construction, the construction of double limits, that is central to Thurston’s hyperbolization theorem for 3-manifolds that fiber over the circle with pseudo-Anosov monodromy. It also involves gluing dendrites and...
Matrices of positive polynomials.
Matrix coefficients, counting and primes for orbits of geometrically finite groups
Let and for and when for , we obtain an effective archimedean counting result for a discrete orbit of in a homogeneous space where is the trivial group, a symmetric subgroup or a horospherical subgroup. More precisely, we show that for any effectively well-rounded family of compact subsets, there exists such that for an explicit measure on which depends on . We also apply the affine sieve and describe the distribution of almost primes on orbits of in arithmetic settings....
Matrix measure and application to stability of matrices and interval dynamical systems.
Matrix second-order differential equations and hamiltonian systems of quartic type
Matsuki correspondence for sheaves.