Publications of Howard A. Masur
Statistical hyperbolicity in Teichmüller space.
Geom. Funct. Anal.,
24(3):748--795, 2014.
MR3213829
The geometry of the disk complex.
J. Amer. Math. Soc.,
26(1):1--62, 2013.
MR2983005
Spheres in the curve complex.
In In the tradition of Ahlfors-Bers. VI,
pages 1--8. Amer. Math. Soc., Providence, RI, 2013.
MR3087923
On train-track splitting sequences.
Duke Math. J.,
161(9):1613--1656, 2012.
MR2942790
The Weil-Petersson geodesic flow is ergodic.
Ann. of Math. (2),
175(2):835--908, 2012.
MR2993753
Dichotomy for the Hausdorff dimension of the set of nonergodic directions.
Invent. Math.,
183(2):337--383, 2011.
MR2772084
Asymptotics of Weil-Petersson geodesics II: bounded geometry and unbounded entropy.
Geom. Funct. Anal.,
21(4):820--850, 2011.
MR2827011
Criteria for the divergence of pairs of Teichmüller geodesics.
Geom. Dedicata,
144:191--210, 2010.
MR2580426
Teichmüller geometry of moduli space. II. $\mathcal M(S)$ seen from far away.
In In the tradition of Ahlfors-Bers. V,
pages 71--79. Amer. Math. Soc., Providence, RI, 2010.
MR2581831
Asymptotics of Weil-Petersson geodesic. I. Ending laminations, recurrence, and flows.
Geom. Funct. Anal.,
19(5):1229--1257, 2010.
MR2585573
In the tradition of Ahlfors-Bers. V, volume 510 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 2010.
MR2590591
Teichmüller geometry of moduli space, I: distance minimizing rays and the Deligne-Mumford compactification.
J. Differential Geom.,
85(2):187--227, 2010.
MR2732976
Geometry of Teichmüller space with the Teichmüller metric.
In Surveys in differential geometry. Vol. XIV. Geometry of Riemann surfaces and their moduli spaces,
pages 295--313. Int. Press, Somerville, MA, 2009.
MR2655331
Multiple saddle connections on flat surfaces and the principal boundary of the moduli spaces of quadratic differentials.
Geom. Funct. Anal.,
18(3):919--987, 2008.
MR2439000
Coarse and synthetic Weil-Petersson geometry: quasi-flats, geodesics and relative hyperbolicity.
Geom. Topol.,
12(4):2453--2495, 2008.
MR2443970
Topological dichotomy and strict ergodicity for translation surfaces.
Ergodic Theory Dynam. Systems,
28(6):1729--1748, 2008.
MR2465598
In the tradition of Ahlfors-Bers. IV, volume 432 of Contemporary Mathematics.
American Mathematical Society, Providence, RI, 2007.
MR2284823
Combinatorial geometry of generic degenerations of quadratic differentials.
In Partially hyperbolic dynamics, laminations, and Teichmüller flow,
pages 223--246. Amer. Math. Soc., Providence, RI, 2007.
MR2388698
Hyperbolicity of the disc complex.
2007.
Multiple saddle connections on quadratic differentials (With a.zorich).
2007.
Ergodic theory of translation surfaces.
In Handbook of dynamical systems. Vol. 1B,
pages 527--547. Elsevier B. V., Amsterdam, 2006.
MR2186247
A divergent Teichmüller geodesic with uniquely ergodic vertical foliation.
Israel J. Math.,
152:1--15, 2006.
MR2214449
Minimal non-ergodic directions on genus-2 translation surfaces.
Ergodic Theory Dynam. Systems,
26(2):341--351, 2006.
MR2218764
The pants complex has only one end.
In Spaces of Kleinian groups,
pages 209--218. Cambridge Univ. Press, Cambridge, 2006.
MR2258750
Problems on billiards, flat surfaces and translation surfaces.
In Problems on mapping class groups and related topics,
pages 233--243. Amer. Math. Soc., Providence, RI, 2006.
MR2264543
Minimal nonergodic directions on genus 2 translation surfaces.
2006.
Problems in flat surfaces and billiards.
2006.
Quasigeodesics in the pants complex.
2006.
Topological dichotomy and strict ergodicity for translation surfaces.
2006.
The pants complex has only one end (With saul schleimer).
2005.
Quasiconvexity in the curve complex.
In In the tradition of Ahlfors and Bers, III,
pages 309--320. Amer. Math. Soc., Providence, RI, 2004.
MR2145071
Quasiconvexity in the curve complex (With y. minsky).
In Proceedings of ahlfors bers colloquium,
pages 309--320. American Mathematical Society, 2004.
Billiards in rectangles with barriers.
Duke Math. J.,
118(3):427--463, 2003.
MR1983037
Moduli spaces of abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants.
Publ. Math. Inst. Hautes Études Sci.,
97:61--179, 2003.
MR2010740
Billiards in rectangles with barriers (With a.eskin, m. schmoll).
Duke Journal of Mathematics,
118:427--463, 2003.
Rational billiards and flat structures.
In Handbook of dynamical systems, Vol. 1A,
pages 1015--1089. North-Holland, Amsterdam, 2002.
MR1928530
The Weil-Petersson isometry group.
Geom. Dedicata,
93:177--190, 2002.
MR1934697
Rational billiards and flat structures (With s.tabachnikov).
In Handbook on dynamical systems,
pages 1015--1089. Elsevier, 2002.
Weil-petersson isometry group (With m. wolf).
Geometriae Dedicata,
93:177--190, 2002.
Asymptotic formulas on flat surfaces.
Ergodic Theory Dynam. Systems,
21(2):443--478, 2001.
MR1827113
Unstable quasi-geodesics in Teichmüller space.
In In the tradition of Ahlfors and Bers (Stony Brook, NY, 1998),
pages 239--241. Amer. Math. Soc., Providence, RI, 2000.
MR1759683
Geometry of the complex of curves. II. Hierarchical structure.
Geom. Funct. Anal.,
10(4):902--974, 2000.
MR1791145
Geometry of the complex of curves. I. Hyperbolicity.
Invent. Math.,
138(1):103--149, 1999.
MR1714338
Superrigidity and mapping class groups.
Topology,
37(6):1169--1176, 1998.
MR1632912
The Poisson boundary of Teichmüller space.
J. Funct. Anal.,
156(2):301--332, 1998.
MR1636940
The Poisson boundary of the mapping class group.
Invent. Math.,
125(2):221--264, 1996.
MR1395719
The Teichmüller flow is Hamiltonian.
Proc. Amer. Math. Soc.,
123(12):3739--3747, 1995.
MR1283559
Teichmüller space is not Gromov hyperbolic.
Ann. Acad. Sci. Fenn. Ser. A I Math.,
20(2):259--267, 1995.
MR1346811
Random walks on Teichmuller space and the mapping class group.
J. Anal. Math.,
67:117--164, 1995.
MR1383491
Teichmüller space, dynamics, probability.
In Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994),
pages 836--849. Birkhäuser, Basel, 1995.
MR1403984
The Poisson boundary of the mapping class group and of Teichmüller space.
In Fascicule de probabilités,
pages 69. Univ. Rennes I, Rennes, 1994.
MR1383328
Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms.
Comment. Math. Helv.,
68(2):289--307, 1993.
MR1214233
Logarithmic law for geodesics in moduli space.
In Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991),
pages 229--245. Amer. Math. Soc., Providence, RI, 1993.
MR1234267
Hausdorff dimension of the set of nonergodic foliations of a quadratic differential.
Duke Math. J.,
66(3):387--442, 1992.
MR1167101
Extremal length geometry of Teichmüller space.
Complex Variables Theory Appl.,
16(2-3):209--237, 1991.
MR1099913
Hausdorff dimension of sets of nonergodic measured foliations.
Ann. of Math. (2),
134(3):455--543, 1991.
MR1135877
Hausdorff dimension of divergent Teichmüller geodesics.
Trans. Amer. Math. Soc.,
324(1):235--254, 1991.
MR984857
The growth rate of trajectories of a quadratic differential.
Ergodic Theory Dynam. Systems,
10(1):151--176, 1990.
MR1053805
Lower bounds for the number of saddle connections and closed trajectories of a quadratic differential.
In Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986),
pages 215--228. Springer, New York, 1988.
MR955824
Measured foliations and handlebodies.
Ergodic Theory Dynam. Systems,
6(1):99--116, 1986.
MR837978
Closed trajectories for quadratic differentials with an application to billiards.
Duke Math. J.,
53(2):307--314, 1986.
MR850537
Ergodicity of billiard flows and quadratic differentials.
Ann. of Math. (2),
124(2):293--311, 1986.
MR855297
Ergodic actions of the mapping class group.
Proc. Amer. Math. Soc.,
94(3):455--459, 1985.
MR787893
A rational billiard flow is uniquely ergodic in almost every direction.
Bull. Amer. Math. Soc. (N.S.),
13(2):141--142, 1985.
MR799797
Interval exchange transformations and measured foliations.
Ann. of Math. (2),
115(1):169--200, 1982.
MR644018
Two boundaries of Teichmüller space.
Duke Math. J.,
49(1):183--190, 1982.
MR650376
Dense geodesics in moduli space.
In Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978),
pages 417--438. Princeton Univ. Press, Princeton, N.J., 1981.
MR624830
Transitivity properties of the horocyclic and geodesic flows on moduli space.
J. Analyse Math.,
39:1--10, 1981.
MR632453
Uniquely ergodic quadratic differentials.
Comment. Math. Helv.,
55(2):255--266, 1980.
MR576605
Quadratic differentials and foliations.
Acta Math.,
142(3-4):221--274, 1979.
MR523212
The Jenkins-Strebel differentials with one cylinder are dense.
Comment. Math. Helv.,
54(2):179--184, 1979.
MR535053
On the existence and uniqueness of Strebel differentials.
Bull. Amer. Math. Soc.,
82(1):77--79, 1976.
MR0393583
Extension of the Weil-Petersson metric to the boundary of Teichmuller space.
Duke Math. J.,
43(3):623--635, 1976.
MR0417456
Addendum to: ``A foliation of Teichmüller space by twist invariant disks'' (Math. Scand. 36 (1975), no. 2, 211--228).
Math. Scand.,
39(2):232--238 (1977), 1976.
MR0445014
On a class of geodesics in Teichmüller space.
Ann. of Math. (2),
102(2):205--221, 1975.
MR0385173
A foliation of Teichmüller space by twist invariant disks.
Math. Scand.,
36(2):211--228, 1975.
MR0393584
The curvature of Teichmüller space.
In A crash course on Kleinian groups (Lectures, Special Session, Annual Winter Meeting, Amer. Math. Soc., San Francisco, Calif., 1974),
pages 122--123. Lecture Notes in Math., Vol. 400. Springer, Berlin, 1974.
MR0390294