Open Dynamical Systems: Symbolic Thermodynamic Formalism and Statistics

Using the full power of countable alphabet thermodynamic formalism and modern functional analysis, the book presents a systematic treatment of the perturbative approach to open dynamical systems, covering those generated by a large class of naturally occurring holes through which the dynamical medium escapes. It highlights escape rates, conditionally invariant measures, surviving equilibrium states, and Hausdorff dimension of surviving sets.

About the author

M. Urbański, U of North Texas; T. Das, U of Wisconsin, USA; G. Tiozzo, U of Toronto, Canada; A. Zdunik, U of Warsaw, Poland.

Product details

• Publisher: De Gruyter
• Languages: English, German
• Product format: Hardback
• Release: 02.12.2024, delayed
• EAN: 9783111034157
• ISBN: 978-3-11-103415-7
• No. of pages: 655
• Illustrations: 1 b/w ill.
• Set: Open Dynamical Systems
• Series: De Gruyter Expositions in Mathematics; Open Dynamical Systems
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Funktionalanalysis, Mathematics, Differential calculus & equations, Dynamical systems, Calculus & mathematical analysis, Applied mathematics, Eigenwerte, MAT034000 MATHEMATICS / Mathematical Analysis, MAT003000 MATHEMATICS / Applied, MAT007000 MATHEMATICS / Differential Equations / General, Thermodynamischer Formalismus, singular perturbation, thermodynamic formalism, Singuläre Störungen, Dynamische Systeme, eigenvalues. functional analysis