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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps (Hardcover)
Loot Price: R4,484
Discovery Miles 44 840
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Ergodic Theory - Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps (Hardcover)
Series: De Gruyter Expositions in Mathematics
Expected to ship within 10 - 15 working days
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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.
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