• 286 Citations
  • 9 h-Index
1970 …2019

Research output per year

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Research Output

  • 286 Citations
  • 9 h-Index
  • 22 Article
  • 2 Comment/debate
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Article
2019

Adler and Flatto revisited: Cross-sections for geodesic ow on compact surfaces of constant negative curvature

Abrams, A. & Katok, S., Jan 1 2019, In : Studia Mathematica. 246, 2, p. 167-202 36 p.

Research output: Contribution to journalArticle

2017

Structure of attractors for boundary maps associated to Fuchsian groups

Katok, S. & Ugarcovici, I., Dec 1 2017, In : Geometriae Dedicata. 191, 1, p. 171-198 28 p.

Research output: Contribution to journalArticle

2 Scopus citations
2014

The Fried Average Entropy and Slow Entropy for Actions of Higher Rank Abelian Groups

Katok, A., Katok, S. & Rodriguez Hertz, F. J., Jan 1 2014, In : Geometric and Functional Analysis. 24, 4, p. 1204-1228 25 p.

Research output: Contribution to journalArticle

5 Scopus citations
2012

Applications of (a,b)-continued fraction transformations

Katok, S. & Ugarcovici, I., Apr 1 2012, In : Ergodic Theory and Dynamical Systems. 32, 2, p. 739-762 24 p.

Research output: Contribution to journalArticle

7 Scopus citations
2010

Structure of attractors for (a,b)-continued fraction transformations

Katok, S. & Ugarcovici, I., Oct 1 2010, In : Journal of Modern Dynamics. 4, 4, p. 637-691 55 p.

Research output: Contribution to journalArticle

12 Scopus citations

Theory of (a, b)-continued fraction transformations and applications

Katok, S. & Ugarcovici, L., Jun 7 2010, In : Electronic Research Announcements of the American Mathematical Society. 17, p. 20-33 14 p.

Research output: Contribution to journalArticle

4 Scopus citations
2007

Symbolic dynamics for the modular surface and beyond

Katok, S. & Ugarcovici, I., Jan 2007, In : Bulletin of the American Mathematical Society. 44, 1, p. 87-132 46 p.

Research output: Contribution to journalArticle

31 Scopus citations
2005

Higher cohomology for abelian groups of toral automorphisms II: The partially hyperbolic case, and corrigendum

Katok, A. & Katok, S., Dec 1 2005, In : Ergodic Theory and Dynamical Systems. 25, 6, p. 1909-1917 9 p.

Research output: Contribution to journalArticle

9 Scopus citations
2004

Livshitz theorem for the unitary frame flow

Katok, S. & Foth, T., Feb 2004, In : Ergodic Theory and Dynamical Systems. 24, 1, p. 127-140 14 p.

Research output: Contribution to journalArticle

3 Scopus citations
2002

MASS program at Penn State

Katok, A., Katok, S. & Tabachnikov, S., Jan 1 2002, In : Mathematical Intelligencer. 24, 4, p. 50-56 7 p.

Research output: Contribution to journalArticle

1 Scopus citations

Rigidity of measurable structure for ℤd-actions by automorphisms of a torus

Katok, A., Katok, S. & Schmidt, K., Jan 1 2002, In : Commentarii Mathematici Helvetici. 77, 4, p. 718-745 28 p.

Research output: Contribution to journalArticle

28 Scopus citations
2001

Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces

Foth, T. & Katok, S., Aug 1 2001, In : Ergodic Theory and Dynamical Systems. 21, 4, p. 1071-1099 29 p.

Research output: Contribution to journalArticle

6 Scopus citations
1996

Coding of closed geodesics after gauss and morse

Katok, S., Jan 1 1996, In : Geometriae Dedicata. 63, 2, p. 123-145 23 p.

Research output: Contribution to journalArticle

25 Scopus citations
1995

Higher cohomology for Abelian groups of toral automorphisms

Katok, A. & Katok, S., Jan 1 1995, In : Ergodic Theory and Dynamical Systems. 15, 3, p. 569-592 24 p.

Research output: Contribution to journalArticle

19 Scopus citations
1993

Heegner points, cycles and Maass forms

Katok, S. & Sarnak, P., Feb 1 1993, In : Israel Journal of Mathematics. 84, 1-2, p. 193-227 35 p.

Research output: Contribution to journalArticle

83 Scopus citations
1990

Approximate solutions of cohomological equations associated with some Anosov flows

Katok, S., Jan 1 1990, In : Ergodic Theory and Dynamical Systems. 10, 2, p. 367-379 13 p.

Research output: Contribution to journalArticle

4 Scopus citations
1989

Finite spanning sets for cusp forms and a related geometric result

Katok, S., Jan 1 1989, In : Journal fur die Reine und Angewandte Mathematik. 1989, 395, p. 186-195 10 p.

Research output: Contribution to journalArticle

2 Scopus citations
1987

Eichler-shimura homology, intersection numbers and rational structures on spaces of modular forms

Katok, S. & Millson, J. J., Apr 1987, In : Transactions of the American Mathematical Society. 300, 2, p. 737-757 21 p.

Research output: Contribution to journalArticle

11 Scopus citations
1986

Reduction theory for Fuchsian groups

Katok, S., Sep 1986, In : Mathematische Annalen. 273, 3, p. 461-470 10 p.

Research output: Contribution to journalArticle

4 Scopus citations
1985

Closed geodesics, periods and arithmetic of modular forms

Katok, S., Oct 1 1985, In : Inventiones Mathematicae. 80, 3, p. 469-480 12 p.

Research output: Contribution to journalArticle

24 Scopus citations
1984

Modular forms associated to closed geodesics and arithmetic applications

Katok, S., Jul 1984, In : Bulletin of the American Mathematical Society. 11, 1, p. 177-179 3 p.

Research output: Contribution to journalArticle

5 Scopus citations
1970

Linear extensions of dynamic systems and the reductibility problem

Katok, S., Oct 1 1970, In : Mathematical Notes of the Academy of Sciences of the USSR. 8, 4, p. 722-728 7 p.

Research output: Contribution to journalArticle

1 Scopus citations