Thermodynamic Formalism

Beschreibung

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.
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.
The first book in the area of thermodynamic formalism, there are no obvious comparable books Provides insight into the current state of research Accessible to a broad range of lecturers

Autor*in

Mark Pollicott

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Entropy Ergodic Theory Gibbs measures Thermodynamic Formaliam Transfer Operators

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