Mariusz Urbański; Mario Roy; Sara Munday: Non-Invertible Dynamical Systems / [Set Non-Invertible Dynamical Systems, Vol 1-3]

Mariusz Urbański, Mario Roy, Sara Munday (Autoren)

Buch | Hardcover

LXXXVI, 1336 Seiten

2023
De Gruyter (Verlag)
978-3-11-070679-6 (ISBN)

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lt;p>The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, ergodicity, and Kolmogorov-Sinai metric entropy are fully explored. Furthermore, the book gives the reader an opportunity to find rigorous presentation of thermodynamic formalism for distance expanding maps and, in particular, subshifts of finite type over a finite alphabet. It also provides a fairly complete treatment of subshifts of finite type over a countable alphabet. Transfer operators, Gibbs states and equilibrium states are, in this context, introduced and dealt with. Their relations are explored. All of this is applied to fractal geometry centered around various versions of Bowen's formula in the context of expanding conformal repellors, limit sets of conformal iterated function systems and conformal graph directed Markov systems. A unique introduction to iteration of rational functions is given with emphasize on various phenomena caused by rationally indifferent periodic points. Also, a fairly full account of the classicaltheory of Shub's expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.

lt;p>Mariusz Urbanski, University of North Texas, USA; Mario Roy, York University, Toronto, Canada; Sara Munday, University of Pisa, Italy.

Erscheinungsdatum	07.09.2023
Reihe/Serie	De Gruyter Expositions in Mathematics
Reihe/Serie	Mariusz Urbański; Mario Roy; Sara Munday: Non-Invertible Dynamical Systems ; Volume 1-3
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	2758 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Dynamisches System • Ergodentheorie • Fraktal
ISBN-10	3-11-070679-2 / 3110706792
ISBN-13	978-3-11-070679-6 / 9783110706796
Zustand	Neuware