Rescaling of Markov shifts.
Resultados de F. Cano sobre una conjetura de Thom.
Results and open questions on some invariants measuring the dynamical complexity of a map
Let f be a continuous map on a compact connected Riemannian manifold M. There are several ways to measure the dynamical complexity of f and we discuss some of them. This survey contains some results and open questions about relationships between the topological entropy of f, the volume growth of f, the rate of growth of periodic points of f, some invariants related to exterior powers of the derivative of f, and several invariants measuring the topological complexity of f: the degree (for the case...
Reversibility in the diffeomorphism group of the real line.
Reversible complex Hénon maps.
Riemann map and holomorphic dynamics.
Rigid reparametrizations and cohomology for horocycle flows.
Rigidité de quelques groupes de germes de difféomorphismes.
Using the description of non solvable dynamics by Nakai, we give in this paper a new proof of the rigidity properties of some sub-groups of Diff(C, O). The Cinfinity case is also considered here.
Rigidité différentiable des groupes fuchsiens
Rigidity of centralizers of diffeomorphisms
Rigidity of projective conjugacy for quasiperiodic flows of Koch type
For quasiperiodic flows of Koch type, we exploit an algebraic rigidity of an equivalence relation on flows, called projective conjugacy, to algebraically characterize the deviations from completeness of an absolute invariant of projective conjugacy, called the multiplier group, which describes the generalized symmetries of the flow. We then describe three ways by which two quasiperiodic flows with the same Koch field are projectively conjugate when their multiplier groups are identical. The first...
Rigidity of smooth one-sided Bernoulli endomorphisms.
Rigidity properties of -actions on tori and solenoids.
Rigorous numerics for symmetric homoclinic orbits in reversible dynamical systems
We propose a new rigorous numerical technique to prove the existence of symmetric homoclinic orbits in reversible dynamical systems. The essential idea is to calculate Melnikov functions by the exponential dichotomy and the rigorous numerics. The algorithm of our method is explained in detail by dividing into four steps. An application to a two dimensional reversible system is also treated and the existence of a symmetric homoclinic orbit is rigorously verified as an example.
Rotation numbers for diffeomorphisms and flows
Rotation sets and monotone periodic orbits for annulus homeomorphisms.
R-torsion and zeta functions for locally symmetric manifolds.