Conference Honoring Svetlana Katok's Birthday

PUBLICATIONS OF SVETLANA KATOK

**Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups** (with Adam Abrams and Ilie Ugarcovici)

**Rigidity of topological entropy of boundary maps associated to Fuchsian groups** (with Adam Abrams and Ilie Ugarcovici), to appear in the book "A Vision for Dynamics - The Legacy of Anatole Katok" published by Cambridge University Press.

**Flexibility of measure-theoretical entropy of boundary maps associated to Fuchsian groups** (with Adam Abrams and Ilie Ugarcovici), to appear in Ergod. Th. & Dynam Sys.

**Adler and Flatto revisited: cross-section for geodesic flow on compact surfaces of
constant negative curvature** (with Adam Abrams), *Studia Mathematica*, ** 246 (2) (2019), 167 - 202
**

**Structure of attractors for boundary maps
associated to Fuchsian groups** (with Ilie Ugarcovici), *Geometriae Dedicata*, **191** (2017), 1, 171 - 198;
First Online 16 May 2017

**
Correction to: Structure of attractors for boundary maps
associated to Fuchsian groups** (with Ilie Ugarcovici), *Geometriae Dedicata*, **198**, (2019), 189 – 191;
First Online 06 March 2018

**The Fried average entropy and slow entropy for
actions of higher rank abelian groups** (with Anatole Katok and Federico Rodriguez Hertz), *Geometric and
Functional Analysis*, **24** (2014), 1204 - 1228

**
**

**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

**
**

**Fuchsian groups and geodesic flows on surfaces of constant negative curvature,**
*Clay Mathematics Proceedings*, Vol. 10, 243 – 320, Amer. Math. Soc., Providence, RI, 2010.

**
**

**Symbolic dynamics for the
modular surface and beyond**
(with Ilie Ugarcovici), *Bull. of the Amer. Math. Soc.*, **44**, no. 1 (2007), 87 - 132;
First Online 2 October 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 Z ^{d} actions by automorphisms of a torus,**
(with Anatole Katok and Klaus Schmidt),

**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**

**
Anatole Katok Center for Dynamical Systems and Geometry (with Yakov Pesin)**, *Notices of American Math. Society*, **66**, 5 (2019), 720-721

**
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.