Howard Masur

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All published works

Action	Title	Year	Authors
+ PDF Chat	Lengths of saddle connections on random translation surfaces of large genus	2024	Howard Masur Kasra Rafi Anja Randecker
+	Lattice point counting for finite-order mapping classes	2023	Spencer Dowdall Howard Masur
+ PDF Chat	Generic measures for translation surface flows	2022	Howard Masur
+ PDF Chat	Divergent on average directions of Teichmüller geodesic flow	2021	Paul Apisa Howard Masur
+ PDF Chat	Expected Covering Radius of a Translation Surface	2020	Howard Masur Kasra Rafi Anja Randecker
+ PDF Chat	The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2	2020	Jon Chaika Howard Masur
+	Generic measures for translation surface flows	2020	Howard Masur
+ PDF Chat	Siegel–Veech transforms are in <inline-formula><tex-math id="M1">$ \boldsymbol{L^2} $</tex-math></inline-formula>(with an appendix by Jayadev S. Athreya and Rene Rühr)	2019	Jayadev S. Athreya Yitwah Cheung Howard Masur
+ PDF Chat	Rigidity of Teichmüller space	2018	Alex Eskin Howard Masur Kasra Rafi
+	The shape of a generic translation surface	2018	Howard Masur Kasra Rafi Anja Randecker
+	The shape of a generic translation surface in the minimal stratum	2018	Howard Masur Kasra Rafi Anja Randecker
+	Expected covering radius of a translation surface	2018	Howard Masur Kasra Rafi Anja Randecker
+	Divergent on average directions of Teichmuller geodesic flow	2018	Paul Apisa Howard Masur
+	The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2	2018	Jon Chaika Howard Masur
+	Expected covering radius of a translation surface	2018	Howard Masur Kasra Rafi Anja Randecker
+	Divergent on average directions of Teichmuller geodesic flow	2018	Paul Apisa Howard Masur
+	The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2	2018	Jon Chaika Howard Masur
+	Siegel-Veech transforms are in $L^2$	2017	Jayadev S. Athreya Yitwah Cheung Howard Masur
+ PDF Chat	Large-scale rank of Teichmüller space	2017	Alex Eskin Howard Masur Kasra Rafi
+	Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces	2017	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Ergodicity of the Weil–Petersson Geodesic Flow	2017	Keith Burns Howard Masur Amie Wilkinson
+	Ergodicity of Geodesic Flows on Incomplete Negatively Curved Manifolds	2017	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Siegel-Veech transforms are in $L^2$	2017	Jayadev S. Athreya Yitwah Cheung Howard Masur
+	Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces	2016	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Limits in 𝒫ℳℱ of Teichmüller geodesics	2016	Jon Chaika Howard Masur Michael Wolf
+	Rates of mixing for the Weil-Petersson geodesic flow II: exponential mixing in exceptional moduli spaces	2016	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Rates of mixing for the Weil-Petersson geodesic flow II: exponential mixing in exceptional moduli spaces	2016	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Legacy of work of Bers on the mapping class group	2015	Howard Masur
+	Rigidity of Teichmüller space	2015	Alex Eskin Howard Masur Kasra Rafi
+ PDF Chat	There exists an interval exchange with a non-ergodic generic measure	2015	Jon Chaika Howard Masur
+	Flat Surfaces and Dynamics on Moduli Space	2014	Howard Masur Martin Möller Anton Zorich
+	There exists an interval exchange with a non-ergodic generic measure	2014	Jon Chaika Howard Masur
+ PDF Chat	Statistical Hyperbolicity in Teichmüller Space	2014	Spencer Dowdall Moon Duchin Howard Masur
+	Limits in PMF of Teichmuller geodesics	2014	Jon Chaika Howard Masur Michael Wolf
+	There exists an interval exchange with a non-ergodic generic measure	2014	Jon Chaika Howard Masur
+	Rates of mixing of Weil-Pertesson geodesic flows	2013	Keith Burns Howard Masur Carlos Matheus Amie Wilkinson
+	Spheres in the curve complex	2013	Spencer Dowdall Moon Duchin Howard Masur
+	Winning games for bounded geodesics in moduli spaces of quadratic differentials	2013	Jonathan Chaika Yitwah Cheung Howard Masur
+	The geometry of the disk complex	2012	Howard Masur Saul Schleimer
+ PDF Chat	On train-track splitting sequences	2012	Howard Masur Lee Mosher Saul Schleimer
+ PDF Chat	The Weil-Petersson geodesic flow is ergodic	2012	Keith Burns Howard Masur Amie Wilkinson
+	Billiards, Flat Surfaces, and Dynamics on Moduli Spaces	2011	Howard Masur Martin Möller Anton Zorich
+	Winning games for bounded geodesics in Teichmueller discs	2011	Jonathan Chaika Yitwah Cheung Howard Masur
+	Winning games for bounded geodesics in moduli spaces of quadratic differentials	2011	Jonathan Chaika Yitwah Cheung Howard Masur
+	Statistical hyperbolicity in Teichm\"uller space	2011	Spencer Dowdall Moon Duchin Howard Masur
+ PDF Chat	Asymptotics of Weil–Petersson Geodesics II: Bounded Geometry and Unbounded Entropy	2011	Jeffrey Brock Howard Masur Yair N. Minsky
+	Spheres in the curve complex	2011	Spencer Dowdall Moon Duchin Howard Masur
+	Statistical hyperbolicity in Teichmüller space	2011	Spencer Dowdall Moon Duchin Howard Masur
+	THE GEOMETRY OF THE DISK COMPLEX	2010	Howard Masur Saul Schleimer
+ PDF Chat	Dichotomy for the Hausdorff dimension of the set of nonergodic directions	2010	Yitwah Cheung Pascal Hubert Howard Masur
+ PDF Chat	Teichmüller geometry of moduli space, I: Distance minimizing rays and the Deligne-Mumford compactification	2010	Benson Farb Howard Masur
+	The Weil-Petersson geodesic flow is ergodic	2010	Keith Burns Howard Masur Amie Wilkinson
+	Asymptotics of Weil-Petersson geodesics II: bounded geometry and unbounded entropy	2010	Jeffrey Brock Howard Masur Yair N. Minsky
+	Teichmüller geometry of moduli space. II. ℳ(𝒮) seen from far away	2010	Benson Farb Howard Masur
+	The geometry of the disk complex	2010	Howard Masur Saul Schleimer
+	The Weil-Petersson geodesic flow is ergodic	2010	Keith Burns Howard Masur Amie Wilkinson
+	Asymptotics of Weil-Petersson geodesics II: bounded geometry and unbounded entropy	2010	Jeffrey Brock Howard Masur Yair N. Minsky
+	In the tradition of Ahlfors-Bers, V : the triennial Ahlfors-Bers Colloquium, May 8-11, 2008, Rutgers University, Newark, New Jersey	2010	Ahlfors-Bers Colloquium Mario Bonk Jane Gilman Howard Masur Yair N. Minsky Michael Wolf
+ PDF Chat	Asymptotics of Weil–Petersson Geodesics I: Ending Laminations, Recurrence, and Flows	2009	Jeffrey Brock Howard Masur Yair N. Minsky
+ PDF Chat	Criteria for the divergence of pairs of Teichmüller geodesics	2009	Anna Lenzhen Howard Masur
+ PDF Chat	Geometry of Teichmüller space with the Teichmüller metric	2009	Howard Masur
+	Dichotomy for the Hausdorff dimension of the set of nonergodic directions	2008	Yitwah Cheung Pascal Hubert Howard Masur
+ PDF Chat	Topological dichotomy and strict ergodicity for translation surfaces	2008	Yitwah Cheung Pascal Hubert Howard Masur
+ PDF Chat	Coarse and synthetic Weil–Petersson geometry: quasi-flats, geodesics and relative hyperbolicity	2008	Jeffrey Brock Howard Masur
+	Multiple Saddle Connections on Flat Surfaces and the Principal Boundry of the Moduli Spaces of Quadratic Differentials	2008	Howard Masur Anton Zorich
+	Teichmuller geometry of moduli space, II: M(S) seen from far away	2008	Benson Farb Howard Masur
+	Teichmuller geometry of moduli space, I: Distance minimizing rays and the Deligne-Mumford compactification	2008	Benson Farb Howard Masur
+	Divergence of Teichmueller Geodesics	2008	Anna Lenzhen Howard Masur
+	Asymptotics of Weil-Petersson geodesics I: ending laminations, recurrence, and flows	2008	Jeffrey Brock Howard Masur Yair N. Minsky
+	Teichmuller geometry of moduli space, II: M(S) seen from far away	2008	Benson Farb Howard Masur
+	Teichmuller geometry of moduli space, I: Distance minimizing rays and the Deligne-Mumford compactification	2008	Benson Farb Howard Masur
+	Dichotomy for the Hausdorff dimension of the set of nonergodic directions	2008	Yitwah Cheung Pascal Hubert Howard Masur
+	Combinatorial geometry of generic degenerations of quadratic differentials	2007	Howard Masur Anton Zorich
+ PDF Chat	A divergent teichmüller geodesic with uniquely ergodic vertical foliation	2006	Yitwah Cheung Howard Masur
+ PDF Chat	The pants complex has only one end	2006	Howard Masur Saul Schleimer
+ PDF Chat	Minimal non-ergodic directions on genus-2 translation surfaces	2006	Yitwah Cheung Howard Masur
+	Problems on billiards, flat surfaces and translation surfaces	2006	Pascal Hubert Howard Masur Thomas Schmidt Anton Zorich
+	Ergodic Theory of Translation Surfaces	2006	Howard Masur
+	Topological Dichotomy and Strict Ergodicity for Translation Surfaces	2006	Yitwah Cheung Pascal Hubert Howard Masur
+	A divergent Teichmuller geodesic with uniquely ergodic vertical foliation	2005	Yitwah Cheung Howard Masur
+	Minimal nonergodic directions on genus 2 translation surfaces	2005	Yitwah Cheung Howard Masur
+	Quasiconvexity in the curve complex	2004	Howard Masur Yair N. Minsky
+	Multiple Saddle Connections on Flat Surfaces and Principal Boundary of the Moduli Spaces of Quadratic Differentials	2004	Howard Masur Anton Zorich
+ PDF Chat	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 Pants Complex Has Only One End	2003	Yair N. Minsky Masahito Sakuma Collected Reprint Series Howard Masur Saul Schleimer
+	Quasiconvexity in the curve complex	2003	Howard Masur Yair N. Minsky
+	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
+	Chapter 13 Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov
+	Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov
+	Moduli Spaces of Abelian Differentials: The Principal Boundary, Counting Problems and the Siegel--Veech Constants	2002	Alex Eskin Howard Masur Anton Zorich
+	None	2002	Howard Masur Michael Wolf
+	Asymptotic formulas on flat surfaces	2001	Alex Eskin Howard Masur
+	Billiards in rectangles with barriers	2001	Alex Eskin Howard Masur Martin Schmoll
+ PDF Chat	Geometry of the complex of curves II: Hierarchical structure	2000	Howard Masur Yair N. Minsky
+	The Weil-Petersson Isometry Group	2000	Howard Masur Michael Wolf
+	Unstable quasi-geodesics in Teichmüller space	2000	Howard Masur Yair N. Minsky
+ PDF Chat	Geometry of the complex of curves I: Hyperbolicity	1999	Howard Masur Yair N. Minsky
+	Superrigidity and mapping class groups	1998	Benson Farb Howard Masur
+	The Poisson Boundary of Teichmüller Space	1998	Vadim A. Kaimanovich Howard Masur
+	Geometry of the complex of curves II: Hierarchical structure	1998	Howard Masur Yair N. Minsky
+	The Poisson boundary of the mapping class group	1996	Vadim A. Kaimanovich Howard Masur
+	Random walks on Teichmuller space and the mapping class group	1995	Howard Masur
+ PDF Chat	The Teichmüller flow is Hamiltonian	1995	Howard Masur
+	The Teichmuller Flow is Hamiltonian	1995	Howard Masur
+	Teichmüller Space, Dynamics, Probability	1995	Howard Masur
+	Teichmüller space is not Gromov hyperbolic.	1994	Howard Masur Michael Wolf
+	Teichmuller Space is Not Gromov Hyperbolic	1994	Howard Masur Michael Wolf
+	The Poisson Boundary of the Mapping Class Group and of Teichmüller Space	1994	Vadim A. Kaimanovich Howard Masur
+	Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms	1993	Howard Masur John Smillie
+	Logarithmic law for geodesics in moduli space	1993	Howard Masur
+	Hausdorff dimension of the set of nonergodic foliations of a quadratic differential	1992	Howard Masur
+	Hausdorff Dimension of Sets of Nonergodic Measured Foliations	1991	Howard Masur John Smillie
+	Extremal length geometry of teichmüller space	1991	Frederick P. Gardiner Howard Masur
+	Hausdorff Dimension of Divergent Teichmuller Geodesics	1991	Howard Masur
+ PDF Chat	Hausdorff dimension of divergent Teichmüller geodesics	1991	Howard Masur
+ PDF Chat	The growth rate of trajectories of a quadratic differential	1990	Howard Masur
+	Lower bounds for the number of saddle connections and closed trajectories of a quadratic differential	1988	Howard Masur
+	Ergodicity of Billiard Flows and Quadratic Differentials	1986	Steven P. Kerckhoff Howard Masur John Smillie
+	Closed trajectories for quadratic differentials with an application to billiards	1986	Howard Masur
+ PDF Chat	Measured foliations and handlebodies	1986	Howard Masur
+ PDF Chat	A rational billiard flow is uniquely ergodic in almost every direction	1985	Steven P. Kerckhoff Howard Masur John Smillie
+ PDF Chat	Ergodic Actions of the Mapping Class Group	1985	Howard Masur
+ PDF Chat	Book Review: Quadratic differentials	1985	Howard Masur
+	Review: Kurt Strebel, Quadratic differentials	1985	Howard Masur
+ PDF Chat	Ergodic actions of the mapping class group	1985	Howard Masur
+	Two boundaries of Teichmüller space	1982	Howard Masur
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur
+	Transitivity properties of the horocyclic and geodesic flows on moduli space	1981	Howard Masur
+	Uniquely ergodic quadratic differentials	1980	Howard Masur
+ PDF Chat	Quadratic differentials and foliations	1979	John H. Hubbard Howard Masur
+	The extension of the Weil-Petersson metric to the boundary of Teichmuller space	1976	Howard Masur
+ PDF Chat	Addendum to: A foliation of Teichmüller space by twist invariant disks.	1976	Albert Marden Howard Masur
+ PDF Chat	On the existence and uniqueness of Strebel differentials	1976	John H. Hubbard Howard Masur
+ PDF Chat	A foliation of Teichmüller space by twist invariant disks.	1975	Albert Marden Howard Masur
+	On a Class of Geodesics in Teichmuller Space	1975	Howard Masur
+	The curvature of teichmuller space	1974	Howard Masur

Common Coauthors

Coauthor	Papers Together
Yitwah Cheung	15
Yair N. Minsky	13
Amie Wilkinson	10
Keith Burns	10
Alex Eskin	9
Anton Zorich	9
Kasra Rafi	9
Jon Chaika	8
Benson Farb	7
Michael Wolf	7
Anja Randecker	6
Jeffrey Brock	6
Carlos Matheus	6
Spencer Dowdall	6
Saul Schleimer	6
Moon Duchin	5
Pascal Hubert	5
John Smillie	4
Paul Apisa	3
Jayadev S. Athreya	3
Vadim A. Kaimanovich	3
Jonathan Chaika	3
Albert Marden	2
Steven P. Kerckhoff	2
John H. Hubbard	2
Serge Tabachnikov	2
Anna Lenzhen	2
Martin Möller	2
Martin Schmoll	2
Jane Gilman	1
Yves Benoist	1
Ryszard Nest	1
Raphaël Rouquie	1
Collected Reprint Series	1
Siegfried Echterhoff	1
Cédric Bonnafé	1
Lee Mosher	1
Masahito Sakuma	1
Ahlfors-Bers Colloquium	1
Jérôme Chabert Chabert	1
Thomas Schmidt	1
Pascal Hubert	1
Mario Bonk	1
Frederick P. Gardiner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur	34
+	Hausdorff Dimension of Sets of Nonergodic Measured Foliations	1991	Howard Masur John Smillie	25
+	Gauss Measures for Transformations on the Space of Interval Exchange Maps	1982	William A. Veech	19
+	Hausdorff dimension of the set of nonergodic foliations of a quadratic differential	1992	Howard Masur	18
+ PDF Chat	Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem 𝑚𝑜𝑑2	1969	William A. Veech	18
+	Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards	1989	William A. Veech	17
+	Ergodicity of Billiard Flows and Quadratic Differentials	1986	Steven P. Kerckhoff Howard Masur John Smillie	16
+	The asymptotic geometry of teichmuller space	1980	Steven P. Kerckhoff	14
+ PDF Chat	On the geometry and dynamics of diffeomorphisms of surfaces	1988	William P. Thurston	14
+	The extension of the Weil-Petersson metric to the boundary of Teichmuller space	1976	Howard Masur	13
+	Topological transitivity of billiards in polygons	1975	A. N. Zemlyakov A. Katok	13
+ PDF Chat	Geometry of the complex of curves II: Hierarchical structure	2000	Howard Masur Yair N. Minsky	12
+ PDF Chat	Geometry of the complex of curves I: Hyperbolicity	1999	Howard Masur Yair N. Minsky	12
+ PDF Chat	Extremal length estimates and product regions in Teichmüller space	1996	Yair N. Minsky	12
+ PDF Chat	Quadratic differentials and foliations	1979	John H. Hubbard Howard Masur	11
+	A condition for minimal interval exchange maps to be uniquely ergodic	1985	Michael Boshernitzan	11
+	The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores	2003	Jeffrey Brock	10
+	Asymptotic formulas on flat surfaces	2001	Alex Eskin Howard Masur	10
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	10
+	Comparison of hyperbolic and extremal lengths	1985	Bernard Maskit	9
+ PDF Chat	An alternative approach to the ergodic theory of measured foliations on surfaces	1981	Mary Rees	9
+	SPACES OF DEGENERATING RIEMANN SURFACES	1974	Lipman Bers	9
+	Affine mappings of translation surfaces: geometry and arithmetic	2000	Eugène Gutkin Chris Judge	9
+	Non-ergodic interval exchange transformations	1977	Michaël Keane	9
+	ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES	1975	Evgueni A Sataev	9
+	Degenerating Families of Riemann Surfaces	1977	William Abikoff	9
+ PDF Chat	The growth rate of trajectories of a quadratic differential	1990	Howard Masur	9
+ PDF Chat	A Combinatorial Model for the Teichmüller Metric	2007	Kasra Rafi	9
+ PDF Chat	Connected components of the moduli spaces of Abelian differentials with prescribed singularities	2003	Maxim Kontsevich Anton Zorich	8
+ PDF Chat	Billiards on almost integrable polyhedral surfaces	1984	Eugène Gutkin	8
+ PDF Chat	Simplicial systems for interval exchange maps and measured foliations	1985	Steven P. Kerckhoff	8
+	On a Class of Geodesics in Teichmuller Space	1975	Howard Masur	8
+	Geometry of the Weil-Petersson completion of Teichmüller space	2005	Scott A. Wolpert	8
+ PDF Chat	Geodesic length functions and the Nielsen problem	1987	Scott A. Wolpert	8
+ PDF Chat	Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials	2001	Alex Eskin Andreĭ Okounkov	7
+	Teichmüller Theory and Quadratic Differentials	1987	Frederick P. Gardiner	7
+	Rational billiards and flat structures	2002	Howard Masur Serge Tabachnikov	7
+	Siegel Measures	1998	William A. Veech	7
+	Closed trajectories for quadratic differentials with an application to billiards	1986	Howard Masur	6
+	Ergodic Theory	1982	I. P. Cornfeld Ya. G. Sinaĭ Sergey Fomin	6
+	Geometry of Nonpositively Curved Manifolds	1997	Patrick Eberlein	6
+	Moduli spaces of quadratic differentials	1990	William A. Veech	6
+ PDF Chat	Exponential mixing for the Teichmüller flow	2006	Artur Avila Sébastien Gouëzel Jean-Christophe Yoccoz	6
+ PDF Chat	Finite dimensional Teichmüller spaces and generalizations	1981	Lipman Bers	6
+ PDF Chat	Asymptotics of Weil–Petersson Geodesics I: Ending Laminations, Recurrence, and Flows	2009	Jeffrey Brock Howard Masur Yair N. Minsky	6
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	6
+ PDF Chat	The Moduli Space of Riemann Surfaces is Kahler Hyperbolic	2000	Curtis T. McMullen	6
+ PDF Chat	Hausdorff dimension of the set of nonergodic directions (with an Appendix by M. Boshernitzan)	2003	Yitwah Cheung Michael Boshernitzan	5
+	Billiards in polygons	1986	Eugène Gutkin	5
+ PDF Chat	An extremal problem for quasiconformal mappings and a theorem by Thurston	1978	Lipman Bers	5