## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 439

Research exposition (monographs, survey articles) 1021

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] 1453

Nonsingular (and infinite-measure preserving) transformations 229

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1234

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 202

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 821

Approximate trajectories (pseudotrajectories, shadowing, etc.) 504

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 964

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1453

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 986

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1642

Hyperbolic systems with singularities (billiards, etc.) 867

Maps of the interval (piecewise continuous, continuous, smooth) 2201

Combinatorial dynamics (types of periodic orbits) 324

Obstructions to integrability (nonintegrability criteria) 289

Special approximation methods (nonlinear Galerkin, etc.) 109

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 545

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2513