Thermodynamic Formalism -

Thermodynamic Formalism

CIRM Jean-Morlet Chair, Fall 2019
Buch | Softcover
XIV, 536 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-74862-3 (ISBN)
69,54 inkl. MwSt
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.

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.

Erscheinungsdatum
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XIV, 536 p. 21 illus., 8 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 836 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
Technik Maschinenbau
Schlagworte Entropy • ergodic theory • Gibbs measures • Thermodynamic Formaliam • Transfer Operators
ISBN-10 3-030-74862-6 / 3030748626
ISBN-13 978-3-030-74862-3 / 9783030748623
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Grundlagen – Anwendungen – Perspektiven

von Matthias Homeister

Buch | Softcover (2022)
Springer Vieweg (Verlag)
34,99
Eine Einführung in die Systemtheorie

von Margot Berghaus

Buch | Softcover (2022)
UTB (Verlag)
25,00