Statistical properties of topological Collet–Eckmann maps
Sur la fonction orbitale des groupes discrets en courbure négative
Nous précisons le comportement exponentiel de la fonction orbitale d'un quelconque groupe discret d'isométries en courbure négative.
Thermodynamic formalism, topological pressure, and escape rates for critically non-recurrent conformal dynamics
We show that for critically non-recurrent rational functions all the definitions of topological pressure proposed in [12] coincide for all t ≥ 0. Then we study in detail the Gibbs states corresponding to the potentials -tlog|f'| and their σ-finite invariant versions. In particular we provide a sufficient condition for their finiteness. We determine the escape rates of critically non-recurrent rational functions. In the presence of parabolic points we also establish a polynomial rate of appropriately...
Thickness measures for Cantor sets.
Veronese webs for bihamiltonian structures of higher corank