Alex Eskin

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All published works

Action	Title	Year	Authors
+	Geometric properties of partially hyperbolic measures and applications to measure rigidity	2023	Alex Eskin Rafaël Potrie Zhiyuan Zhang
+	Continuity of the Lyapunov exponents of random matrix products	2023	Artur Avila Alex Eskin Marcelo Viana
+ PDF	Effective counting of simple closed geodesics on hyperbolic surfaces	2021	Alex Eskin Maryam Mirzakhani Amir Mohammadi
+	Billiards, quadrilaterals and moduli spaces	2020	Alex Eskin Curtis T. McMullen Ronen E. Mukamel Alex Wright
+	Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group	2020	Christian Bonatti Alex Eskin Amie Wilkinson
+	Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group	2020	Christian Bonatti Alex Eskin Amie Wilkinson
+	Effective counting of simple closed geodesics on hyperbolic surfaces	2019	Alex Eskin Maryam Mirzakhani Amir Mohammadi
+ PDF Chat	Semisimplicity of the Lyapunov spectrum for irreducible cocycles	2019	Alex Eskin Carlos Matheus
+ PDF	Möbius disjointness for interval exchange transformations on three intervals	2019	Jon Chaika Alex Eskin
+	Effective counting of simple closed geodesics on hyperbolic surfaces	2019	Alex Eskin Maryam Mirzakhani Amir Mohammadi
+ PDF Chat	Rigidity of Teichmüller space	2018	Alex Eskin Howard Masur Kasra Rafi
+ PDF	Counting closed geodesics in strata	2018	Alex Eskin Maryam Mirzakhani Kasra Rafi
+	A. Eskin - Counting closed geodesics on translation surfaces	2018	Alex Eskin Yohan Girard
+ PDF Chat	The algebraic hull of the Kontsevich–Zorich cocycle	2018	Alex Eskin Simion Filip Alex Wright
+	Self-Joinings for 3-IETs	2018	Jon Chaika Alex Eskin
+	Invariant and stationary measures for the action on Moduli space	2018	Alex Eskin Maryam Mirzakhani
+ PDF Chat	Lower bounds for Lyapunov exponents of flat bundles on curves	2018	Alex Eskin Maxim Kontsevich Martin Möller Anton Zorich
+	Self-Joinings for 3-IETs	2018	Jon Chaika Alex Eskin
+ PDF Chat	Large-scale rank of Teichmüller space	2017	Alex Eskin Howard Masur Kasra Rafi
+	The algebraic hull of the Kontsevich-Zorich cocycle	2017	Alex Eskin Simion Filip Alex Wright
+	Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group	2017	Christian Bonatti Alex Eskin Amie Wilkinson
+	The algebraic hull of the Kontsevich-Zorich cocycle	2017	Alex Eskin Simion Filip Alex Wright
+	Mobius disjointness for interval exchange transformations on three intervals	2016	Jon Chaika Alex Eskin
+ PDF	Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP^1	2016	Jayadev S. Athreya Alex Eskin Anton Zorich
+	Mobius disjointness for interval exchange transformations on three intervals	2016	Jon Chaika Alex Eskin
+	The SL$(2,\mathbb {R})$ Action on Moduli Space	2015	Alex Eskin
+ PDF	Volumes of Strata of Abelian Differentials and Siegel–Veech Constants in Large Genera	2015	Alex Eskin Anton Zorich
+ PDF	Isolation, equidistribution, and orbit closures for the SL(2,R) action on moduli space	2015	Alex Eskin Maryam Mirzakhani Amir Mohammadi
+	Rigidity of Teichmüller space	2015	Alex Eskin Howard Masur Kasra Rafi
+	Symplectic and isometric SL(2,#x211D;)-invariant subbundles of the Hodge bundle	2015	Artur Avila Alex Eskin Martin Möller
+	A coding-free simplicity criterion for the Lyapunov exponents of Teichmüller curves	2015	Alex Eskin Carlos Matheus
+	Every flat surface is Birkhoff and Oseledets generic in almost every direction	2015	Jon Chaika Alex Eskin
+	A category of kernels for equivariant factorizations and its implications for Hodge theory . Affine Mirković-Vilonen polytopes . Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow . The space of metrics of positive scalar curvature	2014	Matthew R. Ballard David Favero Ludmil Katzarkov Pierre Baumann Joel Kamnitzer Peter Tingley Alex Eskin Maxim Kontsevich Anton Zorich Bernhard Hanke
+ PDF Chat	Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow	2013	Alex Eskin Maxim Kontsevich Anton Zorich
+ PDF	Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups	2013	Mladen Bestvina Alex Eskin Kevin Wortman
+	Semisimplicity of the Lyapunov spectrum for irreducible cocycles	2013	Alex Eskin Carlos Matheus
+ PDF Chat	Counting generalized Jenkins–Strebel differentials	2013	Jayadev S. Athreya Alex Eskin Anton Zorich
+	Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space	2013	Alex Eskin Maryam Mirzakhani Amir Mohammadi
+	Every flat surface is Birkhoff and Oseledets generic in almost every direction	2013	Jon Chaika Alex Eskin
+ PDF	Coarse differentiation of quasi-isometries II: Rigidity for Sol and lamplighter groups	2013	Alex Eskin David Fisher Kevin Whyte
+	Invariant and stationary measures for the SL(2,R) action on Moduli space	2013	Alex Eskin Maryam Mirzakhani
+	Every flat surface is Birkhoff and Oseledets generic in almost every direction	2013	Jon Chaika Alex Eskin
+	Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space	2013	Alex Eskin Maryam Mirzakhani Amir Mohammadi
+	Semisimplicity of the Lyapunov spectrum for irreducible cocycles	2013	Alex Eskin Carlos Matheus
+	Counting generalized Jenkins-Strebel differentials	2012	Jayadev S. Athreya Alex Eskin Anton Zorich
+	Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP	2012	Jayadev S. Athreya Alex Eskin Anton Zorich
+	Counting closed geodesics in strata	2012	Alex Eskin Maryam Mirzakhani Kasra Rafi
+ PDF	Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs	2012	Alex Eskin David Fisher Kevin Whyte
+ PDF	Lattice point asymptotics and volume growth on Teichmüller space	2012	Jayadev S. Athreya Alexander I. Bufetov Alex Eskin Maryam Mirzakhani
+	Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle	2012	Artur Avila Alex Eskin Martin Moeller
+	A coding-free simplicity criterion for the Lyapunov exponents of Teichmueller curves	2012	Alex Eskin Carlos Matheus
+	Counting closed geodesics in strata	2012	Alex Eskin Maryam Mirzakhani Kasra Rafi
+	Counting generalized Jenkins-Strebel differentials	2012	Jayadev S. Athreya Alex Eskin Anton Zorich
+	Right-angled billiards and volumes of moduli spaces of quadratic differentials on $\mathbb{C}P^1$	2012	Jayadev S. Athreya Alex Eskin Anton Zorich
+	Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups	2011	Mladen Bestvina Alex Eskin Kevin Wortman
+	Quasi-isometric Rigidity of Solvable Groups	2011	Alex Eskin David Fisher
+ PDF	Lyapunov spectrum of square-tiled cyclic covers	2011	Alex Eskin Maxim Kontsevich Anton Zorich
+ PDF	Counting closed geodesics in moduli space	2011	Alex Eskin Maryam Mirzakhani
+	Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups	2011	Mladen Bestvina Alex Eskin Kevin Wortman
+	Counting closed geodesics in Moduli space	2008	Alex Eskin Maryam Mirzakhani
+	Counting closed geodesics in Moduli space	2008	Alex Eskin Maryam Mirzakhani
+ PDF Chat	Pillowcases and quasimodular forms	2007	Alex Eskin Andreĭ Okounkov
+ PDF Chat	The theta characteristic of a branched covering	2007	Alex Eskin Andreĭ Okounkov Rahul Pandharipande
+	Unique ergodicity of translation flows	2007	Yitwah Cheung Alex Eskin
+	Coarse differentiation of quasi-isometries II: Rigidity for Sol and Lamplighter groups	2007	Alex Eskin David Fisher Kevin Whyte
+	Slow Divergence and Unique Ergodicity	2007	Yitwah Cheung Alex Eskin
+ PDF	Quasi-isometries and Rigidity of Solvable Groups	2007	Alex Eskin David Fisher Kevin Whyte
+	Coarse differentiation of quasi-isometries II: Rigidity for Sol and Lamplighter groups	2007	Alex Eskin David E. Fisher Kevin Whyte
+ PDF Chat	Representations of integers by an invariant polynomial and unipotent flows	2006	Alex Eskin Hee Oh
+	Coarse differentiation of quasi-isometries I: spaces not quasi-isometric to Cayley graphs	2006	Alex Eskin David Fisher Kevin Whyte
+	Counting Problems in Moduli Space	2006	Alex Eskin
+	Coarse differentiation of quasi-isometries I: spaces not quasi-isometric to Cayley graphs	2006	Alex Eskin David E. Fisher Kevin Whyte
+	Unique Ergodicity of Translation Flows	2006	Yitwah Cheung Alex Eskin
+ PDF Chat	Unipotent flows on the space of branched covers of Veech surfaces	2005	Alex Eskin Jens Marklof Dave Witte Morris
+ PDF Chat	Ergodic theoretic proof of equidistribution of Hecke points	2005	Alex Eskin Hee Oh
+ PDF	Quadratic forms of signature (2,2) and eigenvalue spacings on rectangular 2-tori	2005	Alex Eskin G. A. Margulis Shahar Mozes
+ PDF Chat	On uniform exponential growth for linear groups	2005	Alex Eskin Shahar Mozes Hee Oh
+	Quasi-isometries and rigidity of solvable groups	2005	Alex Eskin David Fisher Kevin Whyte
+	Pillowcases and quasimodular forms	2005	Alex Eskin Andreĭ Okounkov
+	Recurrence properties of random walks on finite volume homogeneous manifolds	2004	Alex Eskin G. A. Margulis
+	Ergodic theoretic proof of equidistribution of Hecke points	2004	Alex Eskin Hee Oh
+	Representations of integers by an invariant polynomial and unipotent flows	2004	Alex Eskin Hee Oh
+	Unipotent flows on the space of branched covers of Veech surfaces	2004	Alex Eskin Jens Marklof Dave Witte Morris
+ PDF	Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants	2003	Alex Eskin Howard Masur Anton Zorich
+	Billiards in rectangles with barriers	2003	Alex Eskin Howard Masur Martin Schmoll
+	The theta characteristic of a branched covering	2003	Alex Eskin Andreĭ Okounkov Rahul Pandharipande
+	Catégories dérivées et variétés de Deligne-Lusztig . Moduli spaces of Abelian differentials : the principal boundary counting problems, and the Siegel-Veech constants . Convexes hyperboliques et fonctions quasisymétriques . The Connes-Kasparov conjecture for almost connected groups and for linear p-adic groups	2003	Cédric Bonnafé Raphaël Rouquie Alex Eskin Howard Masur Anton Zorich Yves Benoist Jérôme Chabert Chabert Siegfried Echterhoff Ryszard Nest
+	Moduli Spaces of Abelian Differentials: The Principal Boundary, Counting Problems and the Siegel--Veech Constants	2002	Alex Eskin Howard Masur Anton Zorich
+ PDF Chat	Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials	2001	Alex Eskin Andreĭ Okounkov
+	Asymptotic formulas on flat surfaces	2001	Alex Eskin Howard Masur
+	Billiards in rectangles with barriers	2001	Alex Eskin Howard Masur Martin Schmoll
+	Uniform Exponential Growth for Linear Groups	2001	Alex Eskin Shahar Mozes Hee Oh
+ PDF	Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces	1998	Alex Eskin
+	Upper Bounds and Asymptotics in a Quantitative Version of the Oppenheim Conjecture	1998	Alex Eskin G. A. Margulis Shahar Mozes
+ PDF	Non-divergence of translates of certain algebraic measures	1997	Alex Eskin Shahar Mozes Nimish A. Shah
+ PDF	Quasi-flats and rigidity in higher rank symmetric spaces	1997	Alex Eskin Benson Farb
+	Unipotent Flows and Counting Lattice Points on Homogeneous Varieties	1996	Alex Eskin Shahar Mozes Nimish A. Shah
+	Singular symmetric matrices	1995	Alex Eskin Yonatan Katznelson
+ PDF	None	1995	Alex Eskin G. A. Margulis Shahar Mozes
+ PDF	Mixing, counting, and equidistribution in Lie groups	1993	Alex Eskin Curt McMullen
+	None	1991	Alex Eskin Zeév Rudnick Peter Sarnak
+	Parafermion correlation functions on Riemann surfaces	1989	Alex Eskin YE Chang-yuan
+	Conformal transformations and string field redefinitions	1988	Alex Eskin

Common Coauthors

Coauthor	Papers Together
Maryam Mirzakhani	15
Anton Zorich	14
Howard Masur	9
Jon Chaika	8
Kevin Whyte	8
Jayadev S. Athreya	7
Shahar Mozes	7
David Fisher	7
Hee Oh	6
Kasra Rafi	6
Andreĭ Okounkov	5
Carlos Matheus	5
Maxim Kontsevich	4
Amir Mohammadi	4
Alex Wright	4
Amie Wilkinson	3
G. A. Margulis	3
Kevin Wortman	3
Yitwah Cheung	3
Christian Bonatti	3
Artur Avila	3
Mladen Bestvina	3
Simion Filip	3
Dave Witte Morris	2
Martin Schmoll	2
Jens Marklof	2
Nimish A. Shah	2
Rahul Pandharipande	2
David E. Fisher	2
Amir Mohammadi	2
Martin Möller	2
Ludmil Katzarkov	1
Bernhard Hanke	1
Wolfgang Steimle	1
Ryszard Nest	1
Rafaël Potrie	1
YE Chang-yuan	1
Joel Kamnitzer	1
G. Margulis	1
David Favero	1
Raphaël Rouquie	1
Zeév Rudnick	1
Ronen E. Mukamel	1
Yohan Girard	1
Martin Moeller	1
Curt McMullen	1
Pierre Baumann	1
Zhiyuan Zhang	1
Siegfried Echterhoff	1
Benson Farb	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Asymptotic formulas on flat surfaces	2001	Alex Eskin Howard Masur	17
+	Limit distributions of orbits of unipotent flows and values of quadratic forms	1993	S. G. Dani G. A. Margulis	15
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur	15
+ PDF Chat	Deviation of Ergodic Averages for Area-Preserving Flows on Surfaces of Higher Genus	2002	Giovanni Forni	15
+	On Raghunathan's Measure Conjecture	1991	Marina Ratner	15
+ PDF Chat	Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials	2001	Alex Eskin Andreĭ Okounkov	14
+	Siegel Measures	1998	William A. Veech	13
+ PDF	Mixing, counting, and equidistribution in Lie groups	1993	Alex Eskin Curt McMullen	13
+	Ergodic Theory and Semisimple Groups	1984	Robert J. Zimmer	13
+	Raghunathan’s topological conjecture and distributions of unipotent flows	1991	Marina Ratner	12
+	Billiards in rectangles with barriers	2003	Alex Eskin Howard Masur Martin Schmoll	12
+ PDF	On measure rigidity of unipotent subgroups of semisimple groups	1990	Marina Ratner	12
+	Upper Bounds and Asymptotics in a Quantitative Version of the Oppenheim Conjecture	1998	Alex Eskin G. A. Margulis Shahar Mozes	12
+	Strict measure rigidity for unipotent subgroups of solvable groups	1990	Marina Ratner	12
+	Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards	1989	William A. Veech	11
+ PDF	Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants	2003	Alex Eskin Howard Masur Anton Zorich	11
+ PDF Chat	Connected components of the moduli spaces of Abelian differentials with prescribed singularities	2003	Maxim Kontsevich Anton Zorich	11
+	Invariant and stationary measures for the SL(2,R) action on Moduli space	2013	Alex Eskin Maryam Mirzakhani	11
+	Lower bounds for the number of saddle connections and closed trajectories of a quadratic differential	1988	Howard Masur	10
+	Affine mappings of translation surfaces: geometry and arithmetic	2000	Eugène Gutkin Chris Judge	10
+	Gauss Measures for Transformations on the Space of Interval Exchange Maps	1982	William A. Veech	10
+ PDF	Quantitative recurrence and large deviations for Teichmüller geodesic flow	2007	Jayadev S. Athreya	9
+ PDF Chat	Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow	2013	Alex Eskin Maxim Kontsevich Anton Zorich	9
+ PDF Chat	Billiards in L-Shaped Tables with Barriers	2010	Matt Bainbridge	8
+ PDF Chat	Lyapunov spectrum of invariant subbundles of the Hodge bundle	2012	Giovanni Forni Carlos Matheus Anton Zorich	8
+ PDF	Isolation, equidistribution, and orbit closures for the SL(2,R) action on moduli space	2015	Alex Eskin Maryam Mirzakhani Amir Mohammadi	8
+	Flat Surfaces	2006	Anton Zorich	7
+ PDF	The large-scale geometry of Hilbert modular groups	1996	Benson Farb Richard Evan Schwartz	7
+	Square Tiled Surfaces and Teichmüller Volumes of the Moduli Spaces of Abelian Differentials	2002	Anton Zorich	7
+	Hausdorff Dimension of Sets of Nonergodic Measured Foliations	1991	Howard Masur John Smillie	7
+	On the space of ergodic invariant measures of unipotent flows	1995	Shahar Mozes Nimish A. Shah	7
+	Comparison of hyperbolic and extremal lengths	1985	Bernard Maskit	7
+ PDF	The growth rate of trajectories of a quadratic differential	1990	Howard Masur	7
+ PDF	Quasi-isometric rigidity and diophantine approximation	1996	Richard Evan Schwartz	7
+ PDF	Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings	1997	Bruce Kleiner Bernhard Leeb	7
+	Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov	7
+ PDF Chat	Unipotent flows on the space of branched covers of Veech surfaces	2005	Alex Eskin Jens Marklof Dave Witte Morris	7
+ PDF	Teichmüller curves, triangle groups, and Lyapunov exponents	2010	Irene I. Bouw Martin Möller	7
+	Ergodic Theory and Semisimple Groups	1984	Robert J. Zimmer	7
+ PDF Chat	Extremal length estimates and product regions in Teichmüller space	1996	Yair N. Minsky	6
+	On the Lyapunov Exponents of the Kontsevich–Zorich Cocycle	2006	Giovanni Forni	6
+ PDF	Billiards and Teichmüller curves on Hilbert modular surfaces	2003	Curtis T. McMullen	6
+	Discrete Subgroups and Ergodic Theory**Editorial note. After consultation with G. A. Margulis it was agreed to make some changes directly on the original manuscript, without returning it to him, in order to save time. A. Borel kindly provided the necessary revision, including an additional argument supplied by G. Prasad in the proof of Lemma A. The appendix in the original manuscript has been transformed and reorganized into Section 4; the historical background material and the bibliography …	1989	G. A. Margulis	6
+	Lyapunov indices of a product of random matrices	1989	Ilya Goldsheid G. A. Margulis	6
+	The Character of the Infinite Wedge Representation	2000	Spencer Bloch Andreĭ Okounkov	6
+ PDF Chat	The theta characteristic of a branched covering	2007	Alex Eskin Andreĭ Okounkov Rahul Pandharipande	6
+	Values of quadratic forms at primitive integral points	1989	S. G. Dani G. A. Margulis	6
+ PDF	Dynamics of SL<sub>2</sub>(ℝ) over moduli space in genus two	2007	Curtis T. McMullen	6
+ PDF Chat	Semisimplicity and rigidity of the Kontsevich-Zorich cocycle	2015	Simion Filip	6
+	Veech surfaces and complete periodicity in genus two	2004	Kariane Calta	6