H. Masur

发表

A rational billiard flow is uniquely ergodic in almost every direction

J. Smillie, S. Kerckhoff, H. Masur, 1985 .

Statistical Hyperbolicity in Teichmüller Space

H. Masur, Moon Duchin, S. Dowdall, 2014 .

Interval Exchange Transformations and Measured Foliations

H. Masur, 1982 .

A divergent teichmüller geodesic with uniquely ergodic vertical foliation

H. Masur, Y. Cheung, 2005, math/0501296.

Ergodicity of billiard flows and quadratic differentials

Steven P. Kerckhoff, Howard Masur, John Smillie, 1986 .

The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2

H. Masur, J. Chaika, 2018, Inventiones mathematicae.

Siegel-Veech transforms are in $L^2$

H. Masur, Y. Cheung, J. Athreya, 2017, 1711.08537.

Billiards, Flat Surfaces, and Dynamics on Moduli Spaces

H. Masur, A. Zorich, Martin Möller, 2011 .

Winning games for bounded geodesics in moduli spaces of quadratic differentials

H. Masur, Y. Cheung, J. Chaika, 2011, 1109.5976.

Winning games for bounded geodesics in Teichmueller discs

H. Masur, Y. Cheung, J. Chaika, 2011 .

Chapter 7 – Ergodic Theory of Translation Surfaces

H. Masur, 2006 .

Quasiconvexity in the curve complex

H. Masur, Y. Minsky, 2003, math/0307083.

Counting pairs of saddle connections

H. Masur, J. Athreya, S. Fairchild, 2022, 2201.08628.

The extension of the Weil-Petersson metric to the boundary of Teichmuller space

H. Masur, 1976 .

Teichmuller geometry of moduli space, II: M(S) seen from far away

H. Masur, Benson Farb, 2008, 0807.1876.

Quasiconvexity in the curve complex

H. Masur, Y. Minsky, 2003, math/0307083.

The Weil–Petersson Isometry Group

H. Masur, Michael Wolf, 2000, math/0008065.

Geometry of the complex of curves II: Hierarchical structure

H. Masur, Y. Minsky, 1998, math/9807150.

Unstable Quasi-Geodesics In Teichm Uller Space

H. Masur, N. Minsky, 1999 .

Large-scale rank of Teichmüller space

H. Masur, A. Eskin, Kasra Rafi, 2013, 1307.3733.

Rigidity of Teichmüller space

H. Masur, A. Eskin, Kasra Rafi, 2015, Geometry & Topology.

Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants

H. Masur, A. Eskin, A. Zorich, 2002, math/0202134.

Multiple Saddle Connections on Flat Surfaces and the Principal Boundry of the Moduli Spaces of Quadratic Differentials

H. Masur, A. Zorich, 2008 .

The growth rate of trajectories of a quadratic differential

H. Masur, 1990, Ergodic Theory and Dynamical Systems.

Lower bounds for the number of saddle connections and closed trajectories of a quadratic differential

H. Masur, 1988 .

Superrigidity and mapping class groups

H. Masur, Benson Farb, 1998 .

The Poisson boundary of the mapping class group

H. Masur, V. Kaimanovich, 1996 .

The Weil-Petersson geodesic flow is ergodic

H. Masur, K. Burns, A. Wilkinson, 2010, 1004.5343.

Dichotomy for the Hausdorff dimension of the set of nonergodic directions

Pascal Hubert, Howard Masur, Yitwah Cheung, 2003, 0810.3956.

Rational billiards and flat structures

Serge Tabachnikov, Howard Masur, H. Masur, 2002 .

Problems on billiards, flat surfaces and translation surfaces

Pascal Hubert, Thomas Schmidt, Thomas A. Schmidt, 2006 .

On a class of geodesics in Teichmiuller space

H. Masur, 1975 .

Quadratic differentials and foliations

John H. Hubbard, Howard Masur, H. Masur, 1979 .

Chapter 13 Rational billiards and flat structures

H. Masur, S. Tabachnikov, 2002 .

Billiards in rectangles with barriers

H. Masur, A. Eskin, Martin Schmoll, 2001, math/0107204.

Closed trajectories for quadratic differentials with an application to billiards

H. Masur, 1986 .

Minimal non-ergodic directions on genus-2 translation surfaces

H. Masur, Y. Cheung, 2005, Ergodic Theory and Dynamical Systems.

Hausdorff dimension of sets of nonergodic measured foliations

Howard Masur, John Smillie, J. Smillie, 1991 .

Hausdorff dimension of the set of nonergodic foliations of a quadratic differential

Howard Masur, H. Masur, 1992 .

Flat Surfaces and Dynamics on Moduli Space

H. Masur, A. Zorich, Martin Möller, 2014 .

Hausdorff dimension of divergent Teichmüller geodesics

H. Masur, 1991 .

Bill Veech's contributions to dynamical systems

J. Smillie, H. Masur, G. Forni, 2019, Journal of Modern Dynamics.

Topological dichotomy and strict ergodicity for translation surfaces

H. Masur, Y. Cheung, P. Hubert, 2006, Ergodic Theory and Dynamical Systems.

Multiple Saddle Connections on Flat Surfaces and Principal Boundary of the Moduli Spaces of Quadrati

H. Masur, A. Zorich, 2004, math/0402197.

Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces

H. Masur, K. Burns, C. Matheus, 2017, Geometric and Functional Analysis.

Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces

H. Masur, K. Burns, C. Matheus, 2016, 1605.09037.

Teichmüller Space, Dynamics, Probability

H. Masur, 1995 .

The geometry of the disk complex

H. Masur, S. Schleimer, 2010, 1010.3174.

Measured foliations and handlebodies

H. Masur, 1986, Ergodic Theory and Dynamical Systems.

On train-track splitting sequences

H. Masur, S. Schleimer, L. Mosher, 2010, 1004.4564.

There exists an interval exchange with a non-ergodic generic measure

H. Masur, J. Chaika, 2014, 1410.1576.

Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces

H. Masur, K. Burns, C. Matheus, 2013, 1312.6012.

Geometry of Teichmüller space with the Teichmüller metric

H. Masur, 2009 .

Asymptotic formulas on flat surfaces

H. Masur, A. Eskin, 2001, Ergodic Theory and Dynamical Systems.

Geometry of the complex of curves I: Hyperbolicity

Yair N. Minsky, H. Masur, Howard A. Masur, 1998, math/9804098.

Asymptotics of Weil–Petersson Geodesics II: Bounded Geometry and Unbounded Entropy

Jeffrey F. Brock, H. Masur, Y. Minsky, 2010, 1004.4401.

Teichmuller Space is Not Gromov Hyperbolic

H. Masur, Michael Wolf, 1994, dg-ga/9407001.

Two boundaries of Teichmüller space

H. Masur, 1982 .

Counting pairs of saddle connections

H. Masur, J. Athreya, S. Fairchild, 2023, Advances in Mathematics.

Counting pairs of saddle connections

H. Masur, J. Athreya, And S. FAIRCHILD, 2022, 2201.08628.

Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms

J. Smillie, H. Masur, 1993 .

Asymptotics of Weil–Petersson Geodesics I: Ending Laminations, Recurrence, and Flows

Jeffrey F. Brock, H. Masur, Y. Minsky, 2008, 0802.1370.

Ergodic actions of the mapping class group

H. Masur, 1985 .

The Pants Complex Has Only One End

H. Masur, S. Schleimer, 2003, math/0312385.

Coarse and synthetic Weil–Petersson geometry: quasi-flats, geodesics and relative hyperbolicity

Jeffrey F. Brock, H. Masur, 2007, 0707.1469.

Spaces of Kleinian Groups: The pants complex has only one end

H. Masur, S. Schleimer, 2006 .

Transitivity properties of the horocyclic and geodesic flows on moduli space

H. Masur, 1981 .

In the Tradition of Ahlfors-Bers, IV

H. Masur, Jane Gilman, M. Bonk, 2007 .

The Poisson Boundary of Teichmüller Space

H. Masur, V. Kaimanovich, 1998 .

The Teichmüller flow is Hamiltonian

H. Masur, 1995 .

1 Polygonal billiards , rational billiards 1 . 1 Polygonal billiards

H. Masur, S. Tabachnikov, 2006 .

Uniquely ergodic quadratic differentials

H. Masur, 1980 .

Teichmuller geometry of moduli space, I: Distance minimizing rays and the Deligne-Mumford compactification

H. Masur, Benson Farb, 2008, 0803.0141.

A ug 2 00 0 The Weil-Petersson Isometry Group

H. Masur, Michael Wolf, 2008 .

Generic measures for translation surface flows

H. Masur, 2020, Journal of Modern Dynamics.

A divergent teichmüller geodesic with uniquely ergodic vertical foliation

H. Masur, Y. Cheung, 2005, math/0501296.

Spheres in the curve complex

H. Masur, S. Dowdall, M. Duchin, 2011, 1109.6338.

Statistical hyperbolicity in Teichm\"uller space

H. Masur, S. Dowdall, M. Duchin, 2011, 1108.5416.

Extremal length geometry of teichmüller space

H. Masur, F. Gardiner, 1991 .

Criteria for the divergence of pairs of Teichmüller geodesics

H. Masur, Anna Lenzhen, 2010 .