## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 12

Instructional exposition (textbooks, tutorial papers, etc.) 441

Research exposition (monographs, survey articles) 1031

Explicit machine computation and programs (not the theory of computation or programming) 158

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35] 1470

Nonsingular (and infinite-measure preserving) transformations 234

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1265

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 203

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 832

Approximate trajectories (pseudotrajectories, shadowing, etc.) 509

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 978

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1476

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1003

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1664

Hyperbolic systems with singularities (billiards, etc.) 883

Maps of the interval (piecewise continuous, continuous, smooth) 2216

Combinatorial dynamics (types of periodic orbits) 331

Obstructions to integrability (nonintegrability criteria) 292

Special approximation methods (nonlinear Galerkin, etc.) 109

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 553

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2530