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Thermodynamic formalism and holomorphic dynamical systems. Transl. from the French by C. Greg Anderson. (English) Zbl 0959.37003

SMF/AMS Texts and Monographs. 2. Providence, RI: American Mathematical Society (AMS). Paris: Société Mathématique de France, ix, 82 p. (2000).
The present book is a slightly revised English translation of the original French version [Société Mathématique de France (1996; Zbl 0879.58042)]. The main changes occur in Chapters 5 and 6 and consist in clarification of some proofs and a new presentation of the basics in iterations of polynomials.

MSC:

37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
37Axx Ergodic theory
28Dxx Measure-theoretic ergodic theory
37F50 Small divisors, rotation domains and linearization in holomorphic dynamics
37F75 Dynamical aspects of holomorphic foliations and vector fields
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
82B26 Phase transitions (general) in equilibrium statistical mechanics
37D35 Thermodynamic formalism, variational principles, equilibrium states for dynamical systems

Citations:

Zbl 0879.58042
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