Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension.
Mating quadratic maps with the modular group.
Matrix measure and application to stability of matrices and interval dynamical systems.
Matsuki correspondence for sheaves.
Mean dimension, small entropy factors and an embedding theorem
Mean square value of exponential sums related to the representation of integers as sums of squares
Measurable dynamics of -unimodal maps of the interval
Measured foliations on nonorientable surfaces
Measures of full dimension on self-affine sets
Meromorphic extensions of generalised zeta functions.
Mertens theorem and closed orbits of ergodic toral automorphisms.
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.
Minimal and distal functions on semidirect products of groups
Minimal number of periodic points for smooth self-maps of S³
Let f be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3 and r a fixed natural number. A topological invariant , introduced by the authors [Forum Math. 21 (2009)], is equal to the minimal number of r-periodic points for all smooth maps homotopic to f. In this paper we calculate for all self-maps of S³.
Minimal periods of maps of rational exterior spaces
The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.
Minimal sets of foliations on complex projective spaces
Minimization of the number of periodic points for smooth self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers
Let f be a smooth self-map of m-dimensional, m ≥ 4, smooth closed connected and simply-connected manifold, r a fixed natural number. For the class of maps with periodic sequence of Lefschetz numbers of iterations the authors introduced in [Graff G., Kaczkowska A., Reducing the number of periodic points in smooth homotopy class of self-maps of simply-connected manifolds with periodic sequence of Lefschetz numbers, Ann. Polon. Math. (in press)] the topological invariant J[f] which is equal to the...
Mise en position optimale de tores par rapport à un flot d'Anosov.
Misiurewicz maps unfold generically (even if they are critically non-finite)
We show that in normalized families of polynomial or rational maps, Misiurewicz maps (critically finite or infinite) unfold generically. For example, if is critically finite with non-degenerate critical point such that are hyperbolic periodic points for i = 1,...,n, then IV-1. Age impartible......................................................................................................................................................................... 31 is a local diffeomorphism...