Produktbild: [Set Non-Invertible Dynamical Systems, Vol 1-3]

[Set Non-Invertible Dynamical Systems, Vol 1-3]

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2 Bde, De Gruyter Expositions in Mathematics

ISBN: 3110706792
ISBN 13: 9783110706796
Autor: Urbanski, Mariusz/Roy, Mario/Munday, Sara
Verlag: De Gruyter GmbH
Umfang: LXXXVI, 1336 S.
Erscheinungsdatum: 18.09.2023
Auflage: 1/2023
Gewicht: 2758 g
Produktform: Mehrteiliges Produkt
Artikelnummer: 9819726 Kategorie:

Beschreibung

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 Bowens 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 Shubs expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.

Autorenporträt

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

Herstellerkennzeichnung:


Walter de Gruyter GmbH
De Gruyter GmbH
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DE

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