## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 445

Research exposition (monographs, survey articles) 1040

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] 1483

Nonsingular (and infinite-measure preserving) transformations 238

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 1288

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 211

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 849

Approximate trajectories (pseudotrajectories, shadowing, etc.) 519

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 994

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1496

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 1037

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1687

Hyperbolic systems with singularities (billiards, etc.) 899

Maps of the interval (piecewise continuous, continuous, smooth) 2240

Combinatorial dynamics (types of periodic orbits) 335

Obstructions to integrability (nonintegrability criteria) 294

Special approximation methods (nonlinear Galerkin, etc.) 113

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 560

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2549