## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 450

Research exposition (monographs, survey articles) 1051

Explicit machine computation and programs (not the theory of computation or programming) 160

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35] 1517

Nonsingular (and infinite-measure preserving) transformations 249

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1336

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 219

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 873

Approximate trajectories (pseudotrajectories, shadowing, etc.) 537

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 1022

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1521

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1064

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1733

Hyperbolic systems with singularities (billiards, etc.) 931

Maps of the interval (piecewise continuous, continuous, smooth) 2289

Combinatorial dynamics (types of periodic orbits) 343

Obstructions to integrability (nonintegrability criteria) 300

Special approximation methods (nonlinear Galerkin, etc.) 117

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 579

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2577