Hamiltoniens périodiques et images convexes de l'application moment
Hamilton-Jacobi theory and moving frames.
Hard ball systems are completely hyperbolic.
Hard balls gas and Alexandrov spaces of curvature bounded above.
Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, II
Harmonic properties of the sum-of-digits function for complex bases
Harmonic tori in spheres and complex projective spaces.
Hartman's theorem for complex flows in the Poincaré domain
Harvesting control for a stage-structured predator-prey model with Ivlev's functional response and impulsive stocking on prey.
Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval
Let A be a topologically transitive invariant subset of an expanding piecewise monotonic map on [0,1] with the Darboux property. We investigate existence and uniqueness of conformal measures on A and relate Hausdorff and conformal measures on A to each other.
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 and measures on Julia sets of some meromorphic maps
We study the Julia sets for some periodic meromorphic maps, namely the maps of the form where h is a rational function or, equivalently, the maps . When the closure of the forward orbits of all critical and asymptotic values is disjoint from the Julia set, then it is hyperbolic and it is possible to construct the Gibbs states on J(˜f) for -α log |˜˜f|. For ˜α = HD(J(˜f)) this state is equivalent to the ˜α-Hausdorff measure or to the ˜α-packing measure provided ˜α is greater or smaller than 1....
Hausdorff dimension for piecewise monotonic maps
Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map.
Hausdorff dimension of invariant measures related to Poisson driven stochastic differential equations
It is shown that the Hausdorff dimension of an invariant measure generated by a Poisson driven stochastic differential equation is greater than or equal to 1.
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.
Heegaard splittings and Morse-Smale flows.