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Anatole Katok

Affiliations: 
Pennsylvania State University, State College, PA, United States 
Area:
Mathematics
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Children

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Boris V. Kalinin grad student 2000 Penn State
Roland Gunesch grad student 2002 Penn State
Alistair J. Windsor grad student 2002 Penn State
Danijela Damjanovic grad student 2004 Penn State
Ilie D. Ugarcovici grad student 2004 Penn State
David J. Mieczkowski grad student 2006 Penn State
Andriy Gogolyev grad student 2009 Penn State
Dmitri Scheglov grad student 2009 Penn State

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Publications

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Erchenko A, Katok A. (2019) Flexibility of entropies for surfaces of negative curvature Israel Journal of Mathematics. 232: 631-676
Katok A, Hertz FR. (2016) Arithmeticity and topology of smooth actions of higher rank abelian groups Journal of Modern Dynamics. 10: 135-172
Fayad B, Katok A. (2014) Analytic uniquely ergodic volume preserving maps on odd spheres Commentarii Mathematici Helvetici. 89: 963-977
Katok A, Katok S, Hertz FR. (2014) The Fried Average Entropy and Slow Entropy for Actions of Higher Rank Abelian Groups Geometric and Functional Analysis. 24: 1204-1228
Kalinin B, Katok A, Hertz FR. (2011) Nonuniform measure rigidity Annals of Mathematics. 174: 361-400
Damjanovic D, Katok A. (2011) Local rigidity of homogeneous parabolic actions: I. A model case Journal of Modern Dynamics. 5: 203-235
Damjanović D, Katok A. (2011) Local rigidity of partially hyperbolic actions. iI: The geometric method and restrictions of weyl chamber flows on SL(n,R)/Γ International Mathematics Research Notices. 2011: 4405-4430
Damjanovíc D, Katok A. (2010) Local rigidity of partially hyperbolic actions I. KAM method and Z{double-struck}k actions on the torus Annals of Mathematics. 172: 1805-1858
Katok A, Hertz FR. (2010) Measure and cocycle rigidity for certain nonuniformly hyperbolic actions of higher-rank abelian groups Journal of Modern Dynamics. 4: 487-515
Kalinin B, Katok A, Hertz FR. (2010) Errata to "Measure rigidity beyond uniform hyperbolicity: Invariant measures for Cartan actions on tori" and "Uniqueness of large invariant measures for $\Zk$ actions with Cartan homotopy data" Journal of Modern Dynamics. 4: 207-209
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