Vai al contenuto principale della pagina

Geometric pressure for multimodal maps of the interval / / Feliks Przytycki, Juan Rivera-Letelier



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Autore: Przytycki Feliks Visualizza persona
Titolo: Geometric pressure for multimodal maps of the interval / / Feliks Przytycki, Juan Rivera-Letelier Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2019]
©2019
Descrizione fisica: 1 online resource (v, 81 pages)
Disciplina: 514.742
Soggetto topico: Conformal geometry
Mappings (Mathematics)
Riemann surfaces
Classificazione: 37E0537D2537D35
Persona (resp. second.): Rivera-LetelierJuan <1975->
Nota di bibliografia: Includes bibliographical references.
Sommario/riassunto: "This memoir is an interval dynamics counterpart of three theories founded earlier by the authors, S. Smirnov and others in the setting of the iteration of rational maps on the Riemann sphere: the equivalence of several notions of non-uniform hyperbolicity, Geometric Pressure, and Nice Inducing Schemes methods leading to results in thermodynamical formalism. We work in a setting of generalized multimodal maps, that is smooth maps f of a finite union of compact intervals I in R into R with non-flat critical points, such that on its maximal forward invariant set K the map f is topologically transitive and has positive topological entropy. We prove that several notions of non-uniform hyperbolicity of f|K are equivalent (including uniform hyperbolicity on periodic orbits, TCE & all periodic orbits in K hyperbolic repelling, Lyapunov hyperbolicity, and exponential shrinking of pullbacks). We prove that several definitions of geometric pressure P(t), that is pressure for the map f|K and the potential - t log |f|, give the same value (including pressure on periodic orbits, "tree" pressure, variational pressures and conformal pressure). Finally we prove that, provided all periodic orbits in K are hyperbolic repelling, the function P(t) is real analytic for t between the "condensation" and "freezing" parameters and that for each such t there exists unique equilibrium (and conformal) measure satisfying strong statistical properties"--
Titolo autorizzato: Geometric pressure for multimodal maps of the interval  Visualizza cluster
ISBN: 1-4704-5247-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910826961003321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Serie: Memoirs of the American Mathematical Society ; ; Volume 259, Number 1246.