PUBLICATIONS OF SVETLANA KATOK
MATHEMATICAL PREPRINTS
RECENT MATHEMATICAL PUBLICATIONS
Symbolic dynamics for the modular surface and beyond (with Ilie Ugarcovici), Bull. of the Amer. Math. Soc., 44, no. 1 (2007), 87-132; electronically published on October 2, 2006
Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum (with Anatole Katok), Ergod. Th. & Dynam. Sys., 25 (2005), 1909-1917
Arithmetic coding of geodesics on the modular surface via continued fractions (with Ilie Ugarcovici), CWI tracts, 135 (2005), 59-77
Geometrically Markov geodesics on the modular surface, (with Ilie Ugarcovici), Moscow Mathematical Journal, 1 (2005), 135-155
Livshitz Theorem for the unitary frame flow with an Appendix: Spanning sets for cusp forms on complex hyperbolic spaces by T. Foth and S. Katok, Ergod. Th. & Dynam. Sys., 24 (2004), 127-140
Rigidity of measurable structure for Zd actions by automorphisms of a torus, (with Anatole Katok and Klaus Schmidt), Comment. Math. Helv., 77, no. 4 (2002), 718-745
Arithmetic coding and entropy for the positive geodesic flow on the modular surface (with Boris Gurevich), Moscow Mathematical Journal, 1, no. 4 (2001), 569-582
Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces (with Tatyana Foth), Ergod. Th. & Dynam. Sys., 21 (2001), 1071-1099
Rigidity of measurable structure for algebraic actions of higher-rank abelian groups, Abstracts AMS, 950-58-459, (1999)
Coding of closed geodesics after Gauss and Morse, Geom. Dedicata, 63 (1996), 123-145
Higher cohomology
for abelian groups of toral automorphisms, (with Anatole
Katok), Ergod. Th. & Dynam. Sys. , 15 (1995),
569-592 Corrigendum
OTHER PUBLICATIONS AND LECTURE NOTES
p-adic analysis in comparison with real, in MASS Selecta: Teaching and Learning Advanced Undergraduate Mathematics, 11-87, AMS, Providence, 2003
Continued fractions, hyperbolic geometry and quadratic forms, in MASS Selecta: Teaching and Learning Advanced Undergraduate Mathematics, 121-160, AMS, Providence, 2003
MASS Program at Penn State (with Anatole Katok and Sergei Tabachnikov), Mathematical Intelligencer, 24, no. 4 (2002), 50-56
The MASS Program at Penn State (with S. Tabachnikov and A. Katok), Focus, 21, No. 2 (2001), 6
REU Summer Program at Penn State (with Moisey Guysinsky), in Proceedings of the Conference on Summer Undergraduate Mathematics Reseach Programs, (J. A. Gallian, ed.), The American Mahtematical Society, Providence, Rhode Island, 133-138, 2000
MASS Program at Penn State (with Anatole Katok), in Proceedings of the Conference on Summer Undergraduate Mathematics Reseach Programs, (J.A. Gallian, ed.), The American Mahtematical Society, Providence, Rhode Island, 307-314, 2000
Teaching geometry in the MASS program at Penn State, Abstracts AMS, 939-98-540 , (1998)
To the new era of electronic communication with ERA-AMS, Abstracts AMS, 939-99-542 , (1998)
Arithmetic and geometry of the unimodular group, Lecture Notes of a MASS course given at Penn State in Fall 1997, 60 pp.
What is Number? in Women in Mathematics: Scaling the Heights, (D. Nolan, ed.), The Mathematical Association of America, Washington D.C., 67-75, 1997
Automorphic Forms, Lecture Notes of a graduate course given at
Penn State in Spring 1995, 94 pp.