The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are pre ...Celý popis
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.
Prečo nakupovať na Enbooku?
VEĽKÝ VÝBER
Ponúkame milióny kníh v angličtine. Od beletrie až po tie najodbornejšie odborné.
POŠTOVNÉ ZADARMO
Poštovné už od 2,99 € a pri objednávke nad 60 € doprava na pobočku Zásielkovne zadarmo
SKVELÉ CENY
Ceny kníh sa snažíme držať pri zemi a vždy pod cenou odporúčanou vydavateľom, aby si ich mohol kúpiť naozaj každý.
OVERENÉ ZÁKAZNÍKMI
Získali sme certifikát "Overené zákazníkmi" na Heureka.sk. Prezrite si naše recenzie
ONLINE PODPORA
Môžete využiť online chat, email alebo nám zatelefonovať.