Tangent Measure Distributions of Hyperbolic Cantor Sets.
Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems.
Techniques complexes d'étude d'E.D.O.
Tenseness of Riemannian flows
We show that any transversally complete Riemannian foliation of dimension one on any possibly non-compact manifold is tense; namely, admits a Riemannian metric such that the mean curvature form of is basic. This is a partial generalization of a result of Domínguez, which says that any Riemannian foliation on any compact manifold is tense. Our proof is based on some results of Molino and Sergiescu, and it is simpler than the original proof by Domínguez. As an application, we generalize some...
Tensor fields defining a tangent bundle structure
Teoria della iterazione, mappe olomorfe che commutano e dinamica complessa al punto di Wolff
Teorie deterministického chaosu a některé její aplikace (1. část)
Teorie deterministického chaosu a některé její aplikace (2. část)
Teorie dynamických systémů
The -complex Bruno function and the Yoccoz function: a numerical study of the Marmi-Moussa-Yoccoz conjecture.
The -problem and holomorphic dynamics.
The conjugacy map over a Sturmian word.
The Abramov-Rokhlin Entropy Addition Formula for Amenable Group Actions.
The absolute continuity of the invariant measure of random iterated function systems with overlaps
We consider iterated function systems on the interval with random perturbation. Let be uniformly distributed in [1-ε,1+ ε] and let be contractions with fixpoints . We consider the iterated function system , where each of the maps is chosen with probability . It is shown that the invariant density is in L² and its L² norm does not grow faster than 1/√ε as ε vanishes. The proof relies on defining a piecewise hyperbolic dynamical system on the cube with an SRB-measure whose projection is the...
The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
The action spectrum near positive definite invariant tori
We show that the Birkhoff normal form near a positive definite KAM torus is given by the function of Mather. This observation is due to Siburg [Si2], [Si1] in dimension 2. It clarifies the link between the Birkhoff invariants and the action spectrum near the torus. Our extension to high dimension is made possible by a simplification of the proof given in [Si2].
The algebraic Bethe Ansatz and vacuum vectors.
The Algebraic Integrability of Geodesic Flow on S0(4).
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data.
The approximate Euler method for Lévy driven stochastic differential equations