Svetlana Katok

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the topological entropy of (a, b)-continued fraction transformations	2023	Adam Abrams Svetlana Katok Ilie Ugarcovici
+ PDF	Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups	2022	Adam Abrams Svetlana Katok Ilie Ugarcovici
+	On the topological entropy of (a,b)-continued fraction transformations	2022	Adam Abrams Svetlana Katok Ilie Ugarcovici
+ PDF Chat	Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups	2021	Adam Abrams Svetlana Katok Ilie Ugarcovici
+ PDF Chat	Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups	2021	Adam Abrams Svetlana Katok Ilie Ugarcovici
+	Rigidity of topological entropy of boundary maps associated to Fuchsian groups	2021	Adam Abrams Svetlana Katok Ilie Ugarcovici
+	Flexibility of entropy of boundary maps for surfaces of constant negative curvatures	2019	Adam Abrams Svetlana Katok Ilie Ugarcovici
+	Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups	2019	Adam Abrams Svetlana Katok Ilie Ugarcovici
+	Anatole Katok Center for Dynamical Systems and Geometry	2019	Svetlana Katok Yakov Pesin
+	Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups	2019	Adam Abrams Svetlana Katok Ilie Ugarcovici
+ PDF Chat	Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature	2018	Adam Abrams Svetlana Katok
+ PDF	Correction to: Structure of attractors for boundary maps associated to Fuchsian groups	2018	Svetlana Katok Ilie Ugarcovici
+	Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature	2017	Svetlana Katok Adam Joseph Zydney
+ PDF Chat	Structure of attractors for boundary maps associated to Fuchsian groups	2017	Svetlana Katok Ilie Ugarcovici
+	Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature	2017	Adam Abrams Svetlana Katok
+	Structure of attractors for boundary maps associated to Fuchsian groups	2016	Svetlana Katok Ilie Ugarcovici
+	Structure of attractors for boundary maps associated to Fuchsian groups	2016	Svetlana Katok Ilie Ugarcovici
+ PDF Chat	The Fried Average Entropy and Slow Entropy for Actions of Higher Rank Abelian Groups	2014	Anatole Katok Svetlana Katok Federico Rodriguez Hertz
+	The Fried average entropy and slow entropy for actions of higher rank abelian groups	2013	Anatole Katok Svetlana Katok Federico Rodriguez Hertz
+	The Fried average entropy and slow entropy for actions of higher rank abelian groups	2013	Anatole Katok Svetlana Katok Federico Rodriguez Hertz
+ PDF	Applications of (<i>a</i>,<i>b</i>)-continued fraction transformations	2011	Svetlana Katok Ilie Ugarcovici
+	Applications of (a,b)-continued fraction transformations	2011	Svetlana Katok Ilie Ugarcovici
+	Applications of (a,b)-continued fraction transformations	2011	Svetlana Katok Ilie Ugarcovici
+	Structure of attractors for (a,b)-continued fraction transformations	2010	Svetlana Katok Ilie Ugarcovici
+ PDF	Theory of $(a,b)$-continued fraction transformations and applications	2010	Svetlana Katok Ilie Ugarcovici
+ PDF	Structure of attractors for $(a,b)$-continued fraction transformations	2010	Svetlana Katok Ilie Ugarcovici
+	Structure of attractors for (a,b)-continued fraction transformations	2010	Svetlana Katok Ilie Ugarcovici
+	p-Adic analysis compared with real	2008	Svetlana Katok
+	The topology of ℚ_{𝕡} vs. the topology of ℝ	2007	Svetlana Katok
+	Arithmetic of the 𝑝-adic numbers	2007	Svetlana Katok
+	𝑝-adic functions	2007	Svetlana Katok
+	𝑝-adic Analysis Compared with Real	2007	Svetlana Katok
+ PDF	Symbolic dynamics for the modular surface and beyond	2006	Svetlana Katok Ilie Ugarcovici
+	Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum	2005	Anatole Katok Svetlana Katok
+	Geometrically Markov Geodesics on the Modular Surface	2005	Svetlana Katok Ilie Ugarcovici
+	ARITHMETIC CODING OF GEODESICS ON THE MODULAR SURFACE VIA CONTINUED FRACTIONS	2005	Svetlana Katok Ilie Ugarcovici
+	Livshitz theorem for the unitary frame flow	2004	Svetlana Katok
+	MASS selecta : teaching and learning advanced undergraduate mathematics	2003	Svetlana Katok
+ PDF	Rigidity of measurable structure for $\mathbb Z^d$ -actions by automorphisms of a torus	2002	Anatole Katok Svetlana Katok K. Schmidt
+ PDF Chat	Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces	2001	Tatyana Foth Svetlana Katok
+	Arithmetic Coding and Entropy for the Positive Geodesic Flow on the Modular Surface	2001	B. M. Gurevich Svetlana Katok
+	Rigidity of measurable structure for Z^d-actions by automorphisms of a torus	2000	Anatole Katok Svetlana Katok Klaus Schmidt
+	Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces	1999	Tatyana Foth Svetlana Katok
+	Coding of closed geodesics after Gauss and morse	1996	Svetlana Katok
+	Higher cohomology for Abelian groups of toral automorphisms	1995	Anatole Katok Svetlana Katok
+	Heegner points, cycles and Maass forms	1993	Svetlana Katok Peter Sarnak
+	ELLIPTIC OPERATORS AND SOLUTIONS OF COHOMOLOGICAL EQUATIONS FOR GEODESIC FLOWS WITH HYPERBOLIC BEHAVIOR	1991	Svetlana Katok
+ PDF	Approximate solutions of cohomological equations associated with some Anosov flows	1990	Svetlana Katok
+	Finite spanning sets for cusp forms and a related geometric result.	1989	Svetlana Katok
+ PDF	Eichler-Shimura Homology, Intersection Numbers and Rational Structures on Spaces of Modular Forms	1987	Svetlana Katok John J. Millson
+ PDF	Eichler-Shimura homology, intersection numbers and rational structures on spaces of modular forms	1987	Svetlana Katok John J. Millson
+ PDF	Reduction theory for Fuchsian groups	1986	Svetlana Katok
+	Closed geodesics, periods and arithmetic of modular forms	1985	Svetlana Katok
+ PDF	Modular forms associated to closed geodesics and arithmetic applications	1984	Svetlana Katok
+	Linear extensions of dynamic systems and the reductibility problem	1970	Svetlana Katok

Common Coauthors

Coauthor	Papers Together
Ilie Ugarcovici	23
Adam Abrams	11
Anatole Katok	7
Federico Rodriguez Hertz	3
John J. Millson	2
Tatyana Foth	2
B. M. Gurevich	1
Adam Joseph Zydney	1
Yakov Pesin	1
Klaus Schmidt	1
Peter Sarnak	1
K. Schmidt	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Markov maps associated with fuchsian groups	1979	Rufus Bowen Caroline Series	12
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	11
+ PDF	Geodesic flows, interval maps, and symbolic dynamics	1991	Roy L. Adler Leopold Flatto	10
+	Coding of closed geodesics after Gauss and morse	1996	Svetlana Katok	9
+ PDF	Symbolic dynamics for geodesic floes	1981	Caroline Series	8
+ PDF	Structure of attractors for $(a,b)$-continued fraction transformations	2010	Svetlana Katok Ilie Ugarcovici	7
+	Cross Section Maps for Geodesic Flows, I	1982	Roy L. Adler Leopold Flatto	7
+ PDF Chat	Structure of attractors for boundary maps associated to Fuchsian groups	2017	Svetlana Katok Ilie Ugarcovici	6
+ PDF	Symbolic dynamics and Markov partitions	1998	Roy L. Adler	6
+ PDF	Symbolic dynamics for the modular surface and beyond	2006	Svetlana Katok Ilie Ugarcovici	6
+	ARITHMETIC CODING OF GEODESICS ON THE MODULAR SURFACE VIA CONTINUED FRACTIONS	2005	Svetlana Katok Ilie Ugarcovici	6
+	Closed geodesics, periods and arithmetic of modular forms	1985	Svetlana Katok	6
+	DEHN’S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES	1987	Joan S. Birman Caroline Series	5
+	Geometrical Markov coding of geodesics on surfaces of constant negative curvature	1986	Caroline Series	5
+	Some inverse spectral results for negatively curved 2-manifolds	1980	Victor Guillemin David Kazhdan	5
+	Über eine besondere Art der Kettenbruch-Entwicklung reeller Grössen	1889	A. Hurwitz	5
+ PDF	Modular forms associated to closed geodesics and arithmetic applications	1984	Svetlana Katok	5
+	Geometrically Markov Geodesics on the Modular Surface	2005	Svetlana Katok Ilie Ugarcovici	4
+ PDF	The backward continued fraction map and geodesic flow	1984	Roy L. Adler Leopold Flatto	4
+ PDF	Applications of (<i>a</i>,<i>b</i>)-continued fraction transformations	2011	Svetlana Katok Ilie Ugarcovici	4
+	The Modular Surface and Continued Fractions	1985	Caroline Series	4
+ PDF	Canonical Perturbation Theory of Anosov Systems and Regularity Results for the Livsic Cohomology Equation	1986	Rafael de la Llave J. M. Marco Roberto Moriyón	4
+	Prime geodesic theorems	1980	Peter Sarnak	4
+	Arithmetic Coding and Entropy for the Positive Geodesic Flow on the Modular Surface	2001	B. M. Gurevich Svetlana Katok	4
+ PDF Chat	Rigidity of Topological Entropy of Boundary Maps Associated to Fuchsian Groups	2024	Danijela Damjanović Danijela Damjanović Danijela Damjanović	3
+	Special flows constructed from countable topological Markov chains	1998	Сергей Валерьевич Савченко	3
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	3
+ PDF	Surfaces and Planar Discontinuous Groups	1980	Heiner Zieschang Elmar Vogt Hans-Dieter Coldewey	3
+ PDF	New parameters for Fuchsian groups of genus $2$	1999	Bernard Maskit	3
+ PDF	First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity	1994	Anatole Katok Ralf Spatzier	3
+	The geometry of Teichm�ller space via geodesic currents	1988	Francis Bonahon	3
+ PDF	Metrical Theory for a Class of Continued Fraction Transformations and Their Natural Extensions	1981	Hitoshi Nakada	3
+ PDF	The density at infinity of a discrete group of hyperbolic motions	1979	Dennis Sullivan	3
+ PDF Chat	Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature	2018	Adam Abrams Svetlana Katok	3
+	Introduction to the Modern Theory of Dynamical Systems	1995	Anatole Katok Boris Hasselblatt	3
+	Ergodic Theory of Fibred Systems and Metric Number Theory	1995	Fritz Schweiger	3
+ PDF	Isoperimetric Inequalities on Surfaces of Constant Curvature	1997	Hsu-Tung Ku Mei-Chin Ku Xinmin Zhang	3
+	Some metric properties of α-continued fractions	2002	Hitoshi Nakada Rie Natsui	3
+	On the cohomology of certain dynamical systems	1980	Victor Guillemin David Kazhdan	3
+	Continued fractions and Brjuno functions	1999	Pierre Moussa Andrea Cassa Stefano Marmi	3
+	Zur analytischen Theorie der Grenzkreisgruppen	1939	Hans Petersson	3
+ PDF	Subelliptic Estimates of Polynomial Differential Operators and Applications to Rigidity of Abelian Actions	1994	A. Katok Ralf Spatzier	3
+	Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points	1998	Roland Zweimüller	3
+	Harmonic differentials and closed geodesics on a Riemann surface	1979	Stephen S. Kudla John J. Millson	3
+ PDF	Fuchsian groups and ergodic theory	1936	Eberhard Hopf	3
+	Invariant measures for higher-rank hyperbolic abelian actions	1996	A. Katok Ralf Spatzier	3
+ PDF	Multi-invariant sets on tori	1983	Daniel Berend	3
+ PDF	Entropy for group endomorphisms and homogeneous spaces	1971	Rufus Bowen	3
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	3
+ PDF	Differentiability, rigidity and Godbillon-Vey classes for Anosov flows	1990	Steven Hurder A. Katok	3