## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 9

Instructional exposition (textbooks, tutorial papers, etc.) 384

Research exposition (monographs, survey articles) 905

Explicit machine computation and programs (not the theory of computation or programming) 143

Ergodic theorems, spectral theory, Markov operators [For operator ergodic theory, see mainly 47A35] 1207

Nonsingular (and infinite-measure preserving) transformations 180

Transformations and group actions with special properties (minimality, distality, proximality, etc.) 925

Gradient-like and recurrent behavior; isolated (locally maximal) invariant sets 172

Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems 657

Approximate trajectories (pseudotrajectories, shadowing, etc.) 391

Dynamics of group actions other than $\Bbb Z$ and $\Bbb R$, and foliations [See mainly 22Fxx, and also 57R30, 57Sxx] 798

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 1190

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) 774

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 1404

Hyperbolic systems with singularities (billiards, etc.) 707

Maps of the interval (piecewise continuous, continuous, smooth) 1896

Combinatorial dynamics (types of periodic orbits) 277

Obstructions to integrability (nonintegrability criteria) 232

Special approximation methods (nonlinear Galerkin, etc.) 91

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy) 432

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) 2215