Preprints |
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(with Frieder Jäckel) Negatively curved Einstein metrics on Gromov Thurston manifolds, arXiv:2411.12956, PDF |
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(with Pierre-Louis Blayac, Theo Marty and Andrea Egidio Monti) Geometry and dynamics of Hitchin grafting representations, arXiv:2407.07748, PDF |
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(with Sebastian Hensel) Submanifold projections and hyperbolicity in Out(F_n) arXiv:2403.18698, PDF |
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Symbolic dynamics for the Teichmueller flow
arXiv:1112.6107, revised, December 2023. PDF |
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(with Frieder Jäckel) Stability of Einstein metrics and effective hyperbolization in large Hempel distance, arXiv:2206.10438, PDF |
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Geometry of the mapping class group IIA: CAT(0)
cube complexes and boundaries,
Preprint May 2021 PDF |
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Signature of surface bundles and bounded cohomology,
Preprint October 2020, PDF |
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On the cohomology of strata of abelian differentials,
arXiv:2001.03227. PDF |
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Quotients of the orbifold fundamental group of strata of abelian differentials, preprint December 2018. PDF |
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Typical and atypical properties of periodic Teichmüller geodesics,
arXiv:1409.5978, revised, July 2018. PDF |
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Typical properties of periodic Teichmüller geodesics: Stretch factors,
revised, July 2018. PDF |
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Teichmueller flow and Weil-Petersson flow
arXiv:1505.01113. PDF |
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The boundary of the free factor graph and the free
splitting graph
arXiv:1211.1630, revised, expanded and corrected version, August 2014. PDF |
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Symbolic dynamics for the Teichmueller flow II
preprint, December 2011 PDF |
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Reeb orbits, convexity and minimal discs
preprint, May 2010. PDF |
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Geometry of the mapping class group II: A biautomatic structure
arXiv:0912.0137. PDF |
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Geometry of the mapping class groups III: Quasi-isometric rigidity
arXiv:math.GT/0512429, revised version, January 2007. PDF |
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Word hyperbolic extensions of surface groups
arXiv:math.GT/0505244 . PDF |
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Harmonic measures are product measures
preprint, September 2005. PDF |
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An example for nonequivalence of symplectic capacities
preprint, October 2002. PDF |
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Other writings |
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Flache Flächen, unipotente Flüsse und eine kühne Vision: Das Werk von Maryam Mirzakhani und Marina Ratner Mitt. Dtsch. Math.-Ver. 25 (2017), 154-156. PDF |
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Zooming in and out: The work of Maryam Mirzakhani
through the eyes of a geometer
Notices AMS, Nov. 2018 PDF |
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Accepted |
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L^p-cohomology for groups of isometries of Hadamard spaces,
to appear in Groups, Geometry & Dynamics. arXiv:2311.01396, PDF |
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Published |
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| 2024
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Actions of finitely generated groups on compact metric spaces,
Proc. Amer. Math. Soc. 152 (2024), 3599--3603. PDF |
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Spotted disk and sphere graphs II,
Israel Journal of Math. 260 (2024), 463-500. PDF |
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Periodic orbits in the thin part of strata,
J. Reine Angew. Math. 209 (2024), 41-89. PDF |
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(with Frieder Jäckel) Rigidity of geometric structures, Geometriae Dedicata 218 (2024), no. 1, Paper no. 16, 19pp. PDF |
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| 2023
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Typical properties of periodic Teichmüller geodesics: Lyapunov exponents,
Ergodic Theory & Dynamical Systems 43 (2023), 556-584. PDF |
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| 2022
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(with Gabriele Viaggi) Small eigenvalues of random 3-manifolds, Trans. Amer. Math. Soc. 375 (2022), 3795-3840. PDF |
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Local marked length spectrum rigidity, after
Gouillarmou and Lefeuvre,
Seminaire Bourbaki, Volume 2021/2022, Expose 1189, Asterisque 438, 335--353. PDF |
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| 2021
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Generating the spin mapping class group by Dehn twists,
Ann. Henri Lebesgue 4 (2021), 1619-1658. PDF |
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Some topological properties of surface bundles,
Proc. Symp. Pure Math. 104 (2021), 87-106. PDF |
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Spotted disk and sphere graphs I,
New York J. Math. 27 (2021), 881-902. PDF |
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(with Sebastian Hensel) Geometry of the handlebody groups II: Dehn functions, Michigan Math. J. 70 (2021), 23-53. PDF |
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| 2020
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(with Hyungryul Baik, Ilya Gekhtman) The smallest positive eigenvalue of fibered hyperbolic 3-manifolds, Proc. Lond. Math. Soc. 120 (2020), 704-741. PDF |
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| 2019
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Small eigenvalues and thick-thin decomposition in negative
curvature
Ann. Inst. Fourier 69 (2019), 3065-3093. PDF |
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Asymptotic dimension and the disk graph I,
Journal of Topology 12 (2019), 658-673. PDF |
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Asymptotic dimension and the disk graph II,
Journal of Topology 12 (2019), 674-683. PDF |
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| 2018
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(with Hyungryul Baik, David Bauer, Ilya Gekhtman, Sebastian Hensel, Thorben Kastenholz, Bram Petri, Daniel Valenzuela) Exponential torsion homology growth for random 3-manifolds, Int. Math. Res. Not. IMRN 2018, no. 21, 6497-6534. PDF |
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Ergodicity of the absolute period foliation
Israel J. Math. 225 (2018), 661-680. PDF |
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(with Sebastian Hensel)
Stability in Outer space,
Groups, Geom. Dyn. 12 (2018), 359--398. PDF |
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2016
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Hyperbolic relatively hyperbolic graphs and disk graphs,
Groups, Geom. Dyn. 10 (2016), 365-405. PDF |
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2015
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Incompressible surfaces in rank one locally symmetric spaces,
Geom. Funct. Anal. 25 (2015), 815-859. PDF |
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(with Sebastian Hensel) Spheres and projections in Out(Fn)
Journal of Topology 8 (2015), 65-92. PDF |
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2014
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Hyperbolicity of the graph of non-separating multicurves
Alg. & Geom. Topol. 14 (2014), 1759-1778. PDF |
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Lines of Minima in Outer space
Duke Math. J. 163 (2014), 733-776. PDF |
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Distance in the curve graph
Geom. Dedicata 168 (2014), 101-112. PDF |
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2013
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Bowen's construction for the Teichmüller flow,
J. Mod. Dynamics 7 (2013), 489-526. PDF |
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Teichmüller theory
in "Moduli Spaces of Riemann Surfaces", B. Farb, R. Hain, E. Looijenga, Editors, AMS/PCMI, 2013, 45-108. PDF |
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(with Sebastian Hensel) Isoperimetric inequalities for
the handlebody groups,
Trans. Amer. Math. Soc. 365 (2013), 5313-5327. PDF |
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2012
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Isometry groups of proper CAT(0)-spaces of rank one,
Groups, Geom. Dyn. 6 (2012), 579-618. PDF |
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(with Sebastian Hensel)
The geometry of the handlebody groups I: Distortion,
J. Topology & Analysis 4 (2012), 71-97. PDF |
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2011
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(with Stefan Hainz)
Topological properties of
Reeb orbits on boundaries of star-shaped domains in R4,
in "Low dimensional and symplectic topology", Michael Usher, Editor, Proceeding of Symposia in Pure Math. 82, AMS, Providence, Rhode Island 2011, 89--111. PDF |
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Actions of the mapping class group
in "Proceedings of the International Congress of Mathematicians". Volume II, 1002--1021, Hindustan Book Agency, New Delhi, 2010. |
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2010
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Dynamics of the Teichmueller flow on compact invariant sets
J. Mod. Dynamics 4 (2010), 393--418. PDF |
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Stability of quasi-geodesics in Teichmueller space
Geom. Dedicata 146 (2010), 101-116. PDF |
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Dynamical properties of the Weil-Petersson metric
"In the tradition of Ahlfors-Bers,V" Contemporary Math. 510 (2010), 109--127. PDF |
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2009
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Rank-one isometries of proper CAT(0)-spaces
"Discrete groups and geometric structures",K. Dekimple, P. Igodt, A. Valette, editors, Contemporary Math. 501 (2009), 43--59. PDF |
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Isometry groups of proper hyperbolic spaces
Geom. Funct. Anal. 19 (2009), 170--205. PDF |
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Bounded cohomology and cross ratios
in "Limits of graphs in group theory and computer science", G. Arzhantseva, A. Valette, editors, EPFL Lausanne Press (2009), 41--57. PDF |
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Invariant Radon measures on measured lamination space
Invent. Math. 176 (2009), 223-273 the original article is available at Spingerlink |
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Geometry of the mapping class groups I: Boundary amenability
Invent. Math. 175 (2009), 545-609, the original article is available at Spingerlink |
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2008
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Equidistribution for quadratic differential
in "Groups and Analysis: The Legacy of Hermann Weyl", London Math. Soc. Lectures Notes 354, Cambridge University Press 2008, 116--132. PDF |
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Bounded cohomology and isometry groups of hyperbolic spaces J. Euro. Math. Soc. 10 (2008), 315--349. PDF |
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2007
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Geometry of the complex of curves and of Teichmüller space
in "Handbook of Teichmueller Theory", Volume 1, A. Papadopoulos, ed., European Math. Soc. 2007, 447-467. PDF |
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2006
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Geometric properties of the mapping class group
in "Problems on Mapping class groups" (B. Farb, ed.), Proceedings of Symposia in Pure Math. 74, AMS 2006, 215--232. PDF |
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Train tracks and the Gromov boundary of the complex of curves
in "Spaces of Kleinian groups" (Y. Minsky, M. Sakuma,C. Series, eds.), London Math. Soc. Lec. Notes 329, Cambridge University Press 2006, 187-207. PDF |
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2005
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(with Karsten Fissmer)
Spectral convergence of manifold pairs
Comm. Math. Helv. 80 (2005), 725-754. PDF |
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2004
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Small eigenvalues of geometrically finite manifolds
J. Geom. Anal. 14 (2004), 281-290. PDF |
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2003
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Parametrizations of Teichmüller space and its Thurston boundary
in "Geometric analysis and nonlinear partial differential equations" (S. Hildebrandt, H. Karcher, eds.), Springer, Berlin 2003, 81-88. J. Geom. Anal. 14 (2004), 281-290. DVI |
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Length functions and parameterizations of Teichmüller space for surfaces with cusps
Annales Acad. Scient. Fenn. 28 (2003), 75-88. PS |
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2002
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(with Roman Koch)
Systoles of a family of triangle surfaces
Experimental Math. 11 (2002), 249-270. Computerprogram "funda" to compute systoles of certain triangle surfaces (written by Roman Koch) tar.gz PS |
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Ergodic properties of Gibbs measures on nilpotent covers
Erg. Th. & Dyn. Sys. 22 (2002), 1169-1179. PS |
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Ergodic properties of function group
Geom. Dedicata 93 (2002), 163-176. PS |
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2001
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New examples of maximal surfaces
L'Enseignement Math. 47 (2001), 65-101. PS Addendum filling a gap pdf |
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1999
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Cocycles, symplectic structures and intersection
GAFA 9 (1999), 90-140. PS |
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1997
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Harmonic measures for compact negatively curved manifolds
Acta Math. 178 (1997), 39-107. |
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Cocycles, Hausdorff measures and cross ratios
Erg. Th. Dyn. Sys. 17 (1997), 1061-1081. |
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1996
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Harmonic measures, Hausdorff measures and positive eigenfunctions
J. Diff. Geo. 44 (1996), 1-31. |
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1995
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Invariant two-forms for geodesic flows
Math. Annalen 301 (1995), 677-698. |
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Geometric and ergodic properties of the stable foliation
"Seminaire de theorie spectrale et geometrie", Institut Fourier,Grenoble 1996, 55-62. |
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1994
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Regularity at infinity of compact negatively curved manifolds
Erg. Th. Dyn. Sys. 14 (1994), 493-514. |
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Harmonic measures for leafwise elliptic operators along
foliations
in "Proceedings of the first ECM", Birkhäuser 1994. |
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1993
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Regularity of time preserving conjugacies for contact Anosov
flows with R1 Anosov splitting
Erg. Th. Dyn. Sys. 13 (1993), 65-72. |
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Starrheitseigenschaften kompakter Mannigfaltigkeiten negativer
Krümmung
Jber. d. Dt. Math. Verein. 95 (1993), 47-59. |
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Manifolds of negative curvature} (with P. Eberlein and V. Schroeder)
Proceedings Symp. in Pure Math. 54 (1993), 179-227. |
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1992
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Time preserving conjugacies of geodesic flows
Erg. Th. Dyn. Sys. 12 (1992), 67-74. |
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1991
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Compact manifolds with 1/4 pinched negative curvature
in "Global Differential Geometry and Global Analysis", Proceedings, Berlin 1991, Springer LNM 1481, 74-79. |
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A geometric characterization of negatively curved locally
symmetric spaces,
J. Diff. Geom. 34 (1991), 193-221. |
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1990
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Entropy rigidity of locally symmetric spaces of negative curvature
Ann. Math. 131 (1990), 35-51. |
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An explicit description of harmonic measure
Math. Zeitschrift 205 (1990), 287-299. |
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Some regularity theorems for Carnot Caratheodory metrics
J. Diff. Geo. 32 (1990), 819-850. |
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1989
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A new description of the Bowen Margulis measure
Erg. Th. Dyn Sys. 9 (1989), 455-464. |
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1987
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Zur Theorie der Carnot-Caratheodory Metriken und ihren Anwendungen
Bonner Math. Schriften 180 (1987). |
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