Thermodynamic Formalism

CIRM Jean-Morlet Chair, Fall 2019

AvMark Pollicott,Sandro Vaienti

Häftad, Engelska, 2021

Del 2290 i serien Lecture Notes in Mathematics

713 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

This volume arose from a semester at CIRM-Luminy on “Thermodynamic Formalism: Applications to Probability, Geometry and Fractals” which brought together leading experts in the area to discuss topical problems and recent progress. It includes a number of surveys intended to make the field more accessible to younger mathematicians and scientists wishing to learn more about the area. Thermodynamic formalism has been a powerful tool in ergodic theory and dynamical system and its applications to other topics, particularly Riemannian geometry (especially in negative curvature), statistical properties of dynamical systems and fractal geometry.This work will be of value both to graduate students and more senior researchers interested in either learning about the main ideas and themes in thermodynamic formalism, and research themes which are at forefront of research in this area.

Produktinformation

Utgivningsdatum:2021-10-02
Mått:155 x 235 x 30 mm
Vikt:826 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:536
Förlag:Springer Nature Switzerland AG
ISBN:9783030748623

Utforska kategorier

Innehållsförteckning

- Part I Specifications and Expansiveness. - 1. Beyond Bowen’s Specification Property. - 2. The Role of Continuity and Expansiveness on Leo and Periodic Specification Properties. - Part II Low Dimensional Dynamics and Thermodynamics Formalism. - 3. Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions. - Part III Probability Theory Ergodicity and Thermodynamic Formalism. - 4. Recurrent Sets for Ergodic Sums of an Integer Valued Function. - 5. Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations. - 6. Limit Theorem for Reflected Random Walks. - 7. The Strong Borel–Cantelli Property in Conventional and Nonconventional Setups. - 8. Application of the Convergence of the Spatio-Temporal Processes for Visits to Small Sets. - Part IV Geometry and Thermodynamics Formation. - 9. Rate of Mixing for Equilibrium States in Negative Curvature and Trees. - 10. Statistical Properties of the Rauzy-Veech-Zorich Map. - 11. Entropy Rigidity, Pressure Metric, and Immersed Surfaces in Hyperbolic 3-Manifolds. - 12. Higher Teichmüller Theory for Surface Groups and Shifts of Finite Type. - Part V Fractal Geometry. - 13. Dimension Estimates for C1 Iterated Function Systems and C1 Repellers, a Survey. - 14. Intermediate Dimensions: A Survey. - 15. Fractal Geometry of Bedford-McMullen Carpets. - 16. Some Variants of Orponen’s Theorem on Visible Parts of Fractal Sets.

Du kanske också är intresserad av

Del 2290

Über den Willen zum Wissen

Michel Foucault

Häftad, 2019

278 kr

Del 2290

Kaeuferbezogene Unternehmensbewertung

Luise Hölscher

Häftad, 1998

984 kr

Thermodynamic Formalism

Sandro Vaienti, Mark Pollicott

E-bok

2021

870 kr

Extremes and Recurrence in Dynamical Systems

Sandro Vaienti, Mike Todd, Matthew Nicol, Tobias Kuna, Mark Holland, Jorge Miguel Milhazes de Freitas, Ana Cristina Gomes Monteiro Moreira de Freitas, Davide Faranda, Valerio Lucarini

E-bok

2016

1 503 kr

Extremes and Recurrence in Dynamical Systems

Valerio Lucarini, Davide Faranda, Ana Cristina Gomes Monteiro Moreira de Freitas, Jorge Miguel Milhazes de Freitas, Mark Holland, Tobias Kuna, Matthew Nicol, Mike Todd, Sandro Vaienti

Inbunden, 2016

1 310 kr

Extremes and Recurrence in Dynamical Systems

Sandro Vaienti, Mike Todd, Matthew Nicol, Tobias Kuna, Mark Holland, Jorge Miguel Milhazes de Freitas, Ana Cristina Gomes Monteiro Moreira de Freitas, Davide Faranda, Valerio Lucarini