Ergodic Theory Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps



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English | 450 pages | De Gruyter (December 6, 2021) | 3110702649 | PDF | 4.82 Mb

Dynamical systems and ergodic theory is a rapidly evolving field of mathematics with a large variety of subfields, which use advanced methods from virtually all areas of mathematics. These subfields comprise but are by no means limited to: abstract er- godic theory, topological dynamical systems, symbolic dynamical systems, smooth dynamical systems, holomorphic/complex dynamical systems, conformal dynam- ical systems, one-dimensional dynamical systems, hyperbolic dynamical systems, expanding dynamical systems, thermodynamic formalism, geodesic flows, Hamilto- nian systems, KAM theory, billiards, algebraic dynamical systems, iterated function systems, group actions, and random dynamical systems.

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