Geometric Pressure for Multimodal Maps of the Interval /

This paper 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 Scheme...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Przytycki, Feliks
Otros Autores: Rivera-Letelier, Juan, 1975-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2019.
Colección:Memoirs of the American Mathematical Society ; no. 1246.
Temas:
Mappings (Mathematics)
Hyperbolic spaces.
Riemann surfaces.
Applications (Mathématiques)
Espaces hyperboliques.
Surfaces de Riemann.
Variedades riemannianas
Ecuaciones diferenciales hiperbólicas
Hyperbolic spaces
Riemann surfaces
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction: The main results
  • 2. Preliminaries
  • 3. Non-uniformly hyperbolic interval maps
  • 4. Equivalence of the definitions of geometric pressure
  • 5. Pressure on periodic orbits
  • 6. Nice inducing schemes
  • 7. Analytic dependence of geometric pressure on temperature. Equilibria
  • 8. Proof of key lemma: Induced pressure
  • Appendix A. More on generalized multimodal maps
  • Appendix B. Uniqueness of equilibrium via inducing
  • Appendix C. Conformal pressures

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