## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 442

Research exposition (monographs, survey articles) 1034

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] 1477

Nonsingular (and infinite-measure preserving) transformations 237

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1273

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 210

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 845

Approximate trajectories (pseudotrajectories, shadowing, etc.) 515

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 989

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1488

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1019

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1677

Hyperbolic systems with singularities (billiards, etc.) 893

Maps of the interval (piecewise continuous, continuous, smooth) 2234

Combinatorial dynamics (types of periodic orbits) 333

Obstructions to integrability (nonintegrability criteria) 293

Special approximation methods (nonlinear Galerkin, etc.) 113

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 557

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2540