PUBLICATIONS OF SVETLANA KATOK
Applications of (a,b)-continued fraction transformations (with Ilie Ugarcovici), Ergod. Th. & Dynam. Sys., 32 (2012), 755 -777
Structure of attractors for (a,b)-continued fraction transformations (with Ilie Ugarcovici), Journal of Modern Dynamics, 4 (2010), 637 - 691
Theory of (a,b)-continued fraction transformations and applications (with Ilie Ugarcovici), Electron. Res. Announc. Math. Sci. 17 (2010), 20 - 33
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
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
Heegner points, cycles and Maass forms, (with Peter Sarnak), Israel J. Math., 84, (1993), 1–2, 193–227
Elliptic operators and solutions of cohomological equations for geodesic flows with hyperbolic behavior, International Journal of Mathematics 2, 6, (1991), 701–709
Approximate solutions of cohomological equations associated with some Anosov flows, Ergod. Th. & Dynam. Sys. , 10 (1990), 367-379
Finite spanning sets for cusp forms and a related geometric result, J. für d. reine und angewandte Math. , 395 (1989), 186-195
Eichler-Shimura homology, intersection numbers and rational structures on spaces of modular forms, Transactions Am. Math. Soc., 300, 2 (1987), 737-757
Reduction theory for Fuchsian groups, Math. Ann. , 273 (1986), 461-470
Closed geodesics, periods and arithmetic of modular forms, Invent. Math., 80 (1985), 469-480
Modular forms associated to closed geodesics and arithmetic applications, Bull. Am. Math. Soc. , 11 (1984), 177-179
The estimation from above for the topological entropy of a diffeomorphism, Global Theory of Dynamical Systems, Springer, Lecture Notes in Mathematics , 819 (1980), 258-264
Bifurcation sets and integral manifolds in the rigid body problem, (in Russian), Uspehi Mat. Nauk , 2 (164) (1972), 126-133, (Appendix to the Russian translation of “Topology and Mechanics” by S. Smale)
Linear extensions of dynamic
systems and the reducibility problem, Mathematical Notes of the Academy of
Sciences of the USSR (A translation of Math. Zametki) 8, 4 (1970), 722-728
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.