Hard balls gas and Alexandrov spaces of curvature bounded above.
Hartman's theorem for complex flows in the Poincaré domain
Hausdorff and packing dimensions for ergodic invariant measures of two-dimensional Lorenz transformations
We extend the notions of Hausdorff and packing dimension introducing weights in their definition. These dimensions are computed for ergodic invariant probability measures of two-dimensional Lorenz transformations, which are transformations of the type occuring as first return maps to a certain cross section for the Lorenz differential equation. We give a formula of the dimensions of such measures in terms of entropy and Lyapunov exponents. This is done for two choices of the weights using the recurrence...
Hausdorff convergence and the limit shape of the unicorns.
Hausdorff dimension for piecewise monotonic maps
Hausdorff dimension of real numbers with bounded digit averages
Hausdorff dimension, projections, and the Fourier transform.
This is a survey on transformation of fractal type sets and measures under orthogonal projections and more general mappings.
Heat flow of p-harmonic maps with values into spheres.
Heteroclinic cycles emanating from local bifurcations.
Heteroclinic orbits, mobility parameters and stability for thin film type equations.
Heterodimensional cycles, partial hyperbolicity and limit dynamics
We study one-parameter families of diffeomorphisms unfolding heterodimensional cycles (i.e. cycles containing periodic points of different indices). We construct an open set of such arcs such that, for a subset of the parameter space with positive relative density at the bifurcation value, the resulting nonwandering set is the disjoint union of two hyperbolic basic sets of different indices and a strong partially hyperbolic set which is robustly transitive. The dynamics of the diffeomorphisms we...
High dimension diffeomorphisms exhibiting infinitely many strange attractors
Higher dimensional Melnikov mappings
Higher order branching of periodic orbits from polynomial isochrones.
Higher-order Melnikov functions for single-DOF mechanical oscillators: theoretical treatment and applications.
Holomorphic foliations in having an invariant algebraic curve
We give estimations for the degree of separatrices of algebraic foliations in .
Homeomorphisms of inverse limit spaces of one-dimensional maps
We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.
Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows
Homoclinic orbit solutions of a one dimensional Wilson-Cowan type model.
Homoclinic tangencies and hyperbolicity for surface diffeomorphisms.