Concepedia

A. Katok

AK

38

Publications

3K

Citations

28

H-Index

1967

Active since

Affiliations

Pennsylvania State University(Current)

California Institute of Technology

University of Maryland, College Park

University of Michigan

Freie Universität Berlin

A. Katok is an author at Pennsylvania State University specializing in engineering, entropy, and geometry.

Top concepts

EngineeringEntropyGeometrySpectral TheoryFunctional AnalysisIntegral GeometryGeometric Group TheoryDynamic SystemsInvariant MeasuresGeodesy

Publications per year

1967–2010

38

Publications

38

Topological transitivity of billiards in polygons

A. N. Zemlyakov, A. Katok · Mathematical Notes · 1975 · 274 citations

Discrete Geometry, Geometry, Topological Transitivity +3

Manifolds with non-positive curvature

Keith Burns, A. Katok, W. Ballman et al. · Ergodic Theory and Dynamical Systems · 1985 · 250 citations · Full text

Geophysics, Extended Report, Problem Session +13

APPROXIMATIONS IN ERGODIC THEORY

A. Katok · Russian Mathematical Surveys · 1967 · 213 citations

Spectral Theory, Engineering, Entropy +9

Entropy and closed geodesies

A. Katok · Ergodic Theory and Dynamical Systems · 1982 · 199 citations · Full text

Global Geometry, Different Metrics, Engineering +10

ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS

A. Katok · Mathematics of the USSR-Izvestiya · 1973 · 172 citations

Hamiltonian Theory, Hamiltonian Systems, Topological Dynamic +6

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