Zentralblatt MATH

50 Dynamical systems and ergodic theory35Sxx Pseudodifferential operators and othergeneralizations of partial differentialoperators [See also 47G30, 58J40]35S05 Pseudodifferential operators35S10 Initial value problems for pseudodifferentialoperators35S11 Initial-boundary value problems forpseudodifferential operators35S1535S3035S3535S5035S99Boundary value problems for pseudodifferentialoperatorsFourier integral operatorsTopological aspects: intersection cohomology,stratified sets, etc.[See also 32C38, 32S40, 32S60, 58J15]Paradifferential operatorsNone of the above, but in this section37-XX Dynamical systems and ergodictheory [See also 26A18, 28Dxx,34Cxx, 34Dxx, 35Bxx, 46Lxx,58Jxx, 70-XX]37-00 General reference works (handbooks,dictionaries, bibliographies, etc.)37-01 Instructional exposition(textbooks, tutorial papers, etc.)37-02 Research exposition (monographs,survey articles)37-03 Historical (must also be assigned at leastone classification number from Section01)37-04 Explicit machine computation and programs(not the theory of computation orprogramming)37-06 Proceedings, conferences, collections,etc.37Axx Ergodic theory [See also 28Dxx]37A05 Measure-preserving transformations37A10 One-parameter continuous families ofmeasure-preserving transformations37A15 General groups of measure-preservingtransformations [See mainly 22Fxx]37A17 Homogeneous flows [See also 22Fxx]37A20 Orbit equivalence, cocycles, ergodicequivalence relations37A25 Ergodicity, mixing, rates of mixing37A30 Ergodic theorems, spectral theory,Markov operators (For operator ergodictheory, see mainly 47A35)37A35 Entropy and other invariants, isomorphism,classification37A40 Nonsingular (and infinite-measure preserving)transformations37A45 Relations with number theory and harmonicanalysis [See also 11Kxx]37A50 Relations with probability theory andstochastic processes [See also 60Fxx and60G10]37A55 Relations with the theory of C ∗ -algebras[See mainly 46L55]37A60 Dynamical systems in statistical mechanics[See also 82Cxx]37A99 None of the above, but in this section37Bxx Topological dynamics [See also 54H20]37B05 Transformations and group actions withspecial properties (minimality, distality,proximality, etc.)37B10 Symbolic dynamics[See also 37Cxx, 37Dxx]37B15 Cellular automata [See also 68Q80]37B20 Notions of recurrence37B25 Lyapunov functions and stability; attractors,repellers37B30 Index theory, Morse-Conley indices37B35 Gradient-like and recurrent behavior;isolated (locally maximal) invariant sets37B40 Topological entropy37B45 Continua theory in dynamics37B50 Multi-dimensional shifts of finite type,tiling dynamics37B55 Nonautonomous dynamical systems37B99 None of the above, but in this section37Cxx Smooth dynamical systems: generaltheory [See also 34Cxx, 34Dxx]37C05 Smooth mappings and diffeomorphisms37C10 Vector fields, flows, ordinary differentialequations37C15 Topological and differentiable equivalence,conjugacy, invariants, moduli,classification37C20 Generic properties, structural stability37C25 Fixed points, periodic points, fixed-pointindex theory37C27 Periodic orbits of vector fields and flows37C29 Homoclinic and heteroclinic orbits