A. Katok
Mathematical Physics · 2001–2010
A researcher in the Science corpus: 10 papers; trusts 14 researchers and is trusted by 15 researchers here, as inferred from the citation graph.
Subfields
- Mathematical Physics — 40 citations into it; #1,433 of 8,562 by trust here, #1,050 by citations
- Geometry and Topology — 28 citations into it; #1,940 of 7,422 by trust here, #1,531 by citations
- Applied Mathematics — 12 citations into it
- Computational Theory and Mathematics — 5 citations into it; #4,232 of 12,182 by trust here, #4,365 by citations
- Statistical and Nonlinear Physics — 5 citations into it; #5,905 of 10,127 by trust here, #6,421 by citations
Whom A. Katok trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Bassam Fayad
- Elon Lindenstrauss
- Gregory Margulis
- Z. Wang
- Manfred Einsiedler
- Dave Witte Morris
- G. Forni
- Tomasz Downarowicz
- Eli Glasner
- Dmitry Kleinbock
Who trusts A. Katok overall
- Manfred Einsiedler
- Elon Lindenstrauss
- J. Thouvenot
- Bassam Fayad
- Lewis Bowen
- Alexander S. Kechris
- Dmitry Kleinbock
- Aaron W. Brown
- P. Michel
- Keith Burns
Papers from A. Katok's perspective
Ordered by how strongly the researchers A. Katok trusts endorse each paper. Same corpus, a different order for every researcher.
- On a problem in simultaneous diophantine approximation: Littlewood's conjecture
- On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp: Periodic Orbits of Hyperbolic Flows
- Ratner's Theorems on Unipotent Flows
- Constructions in elliptic dynamics (Ergodic Theory and Dynamical Systems)
- Analytic mixing reparametrizations of irrational flows (Ergodic Theory and Dynamical Systems)
- Combinatorial constructions in ergodic theory and dynamics
- The generic transformation has roots of all orders
- Analytic linearization of circle diffeomorphisms
- Ergodic Theory via Joinings
- Lectures on Partial Hyperbolicity and Stable Ergodicity
Their papers
- Invariant measures and the set of exceptions to Littlewood's conjecture (2006) — 247 citations
- Local rigidity of partially hyperbolic actions I. KAM method and ${\mathbb Z^k}$ actions on the torus (2010) — 60 citations
- NONUNIFORM MEASURE RIGIDITY (2008) — 46 citations
- FIFTY YEARS OF ENTROPY IN DYNAMICS: 1958-2007 (2007) — 162 citations
- Chapter 11 Spectral properties and combinatorial constructions in ergodic theory (2006) — 81 citations
- Rigidity of measures—The high entropy case and non-commuting foliations (2005) — 48 citations
- Constructions in elliptic dynamics (2004) — 141 citations
- A First Course in Dynamics: with a Panorama of Recent Developments (2003) — 293 citations
- Combinatorial constructions in ergodic theory and dynamics (2003) — 125 citations
- Smooth Ergodic Theory and Its Applications (2001) — 67 citations