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Volumn 156, Issue 3, 2011, Pages 429-468

Random walks on the mapping class group

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EID: 79951561483     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/00127094-2010-216     Document Type: Article
Times cited : (87)

References (36)
  • 1
    • 37849037432 scopus 로고    scopus 로고
    • An obstruction to the strong relative hyperbolicity of a group
    • J. W. ANDERSON, J. ARAMAYONA, and K. J. SHACKLETON, An obstruction to the strong relative hyperbolicity of a group, J. Group Theory 10 (2007), 749-756.
    • (2007) J. Group Theory , vol.10 , pp. 749-756
    • Anderson, J.W.1    Aramayona, J.2    Shackleton, K.J.3
  • 2
    • 67349267381 scopus 로고    scopus 로고
    • Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity
    • J. BEHRSTOCK, C. DRUTU, and L. MOSHER, Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity, Math. Ann. 344 (2009), 543-595.
    • (2009) Math. Ann. , vol.344 , pp. 543-595
    • Behrstock, J.1    Druţu, C.2    Mosher, L.3
  • 3
    • 0003316111 scopus 로고
    • Braids, Links, and Mapping Class Groups
    • Princeton Univ. Press, Princeton
    • J. S. BIRMAN, Braids, Links, and Mapping Class Groups, Ann. of Math. Stud. 82, Princeton Univ. Press, Princeton, 1974.
    • (1974) Ann. of Math. Stud. , vol.82
    • Birman, J.S.1
  • 4
    • 0001465940 scopus 로고
    • On isotopies of homeomorphisms of Riemann surfaces
    • J. S. BIRMAN and H. M. HILDEN, On isotopies of homeomorphisms of Riemann surfaces, Ann. of Math. (2) 97 (1973), 424-439.
    • (1973) Ann. of Math. , vol.97 , Issue.2 , pp. 424-439
    • Birman, J.S.1    Hilden, H.M.2
  • 5
    • 84972562943 scopus 로고
    • Abelian and solvable subgroups of the mapping class groups
    • J. S. BIRMAN, A. LUBOTZKY, and J. MCCARTHY, Abelian and solvable subgroups of the mapping class groups, Duke Math. J. 50 (1983), 1107-1120.
    • (1983) Duke Math. J. , vol.50 , pp. 1107-1120
    • Birman, J.S.1    Lubotzky, A.2    Mccarthy, J.3
  • 7
    • 37849033008 scopus 로고    scopus 로고
    • Hyperbolic 3-manifolds and the geometry of the curve complex
    • Eur. Math. Soc., Zürich
    • B. H. BOWDITCH, "Hyperbolic 3-manifolds and the geometry of the curve complex" in European Congress of Mathematics, Eur. Math. Soc., Zürich, 2005, 103-115.
    • (2005) European Congress of Mathematics , pp. 103-115
    • Bowditch, B.H.1
  • 8
    • 34447498991 scopus 로고    scopus 로고
    • Intersection numbers and the hyperbolicity of the curve complex
    • B. H. BOWDITCH, Intersection numbers and the hyperbolicity of the curve complex, J. Reine Angew. Math. 598 (2006), 105-129.
    • (2006) J. Reine Angew. Math. , vol.598 , pp. 105-129
    • Bowditch, B.H.1
  • 9
    • 0003195612 scopus 로고    scopus 로고
    • Metric Spaces of Non-positive Curvature
    • Springer, Berlin
    • M. R. BRIDSON and A. HAEFLIGER, Metric Spaces of Non-positive Curvature, Grundlehren Math. Wiss. 319, Springer, Berlin, 1999.
    • (1999) Grundlehren Math. Wiss. , vol.319
    • Bridson, M.R.1    Haefliger, A.2
  • 10
    • 51249192766 scopus 로고
    • Die Gruppe der Abbildungsklassen
    • M. DEHN, Die Gruppe der Abbildungsklassen, Acta Math. 69 (1938), 135-206.
    • (1938) Acta Math , vol.69 , pp. 135-206
    • Dehn, M.1
  • 12
    • 0032221787 scopus 로고    scopus 로고
    • Relatively hyperbolic groups
    • B. FARB, Relatively hyperbolic groups, Geom. Funct. Anal. 8 (1998), 810-840.
    • (1998) Geom. Funct. Anal. , vol.8 , pp. 810-840
    • Farb, B.1
  • 13
    • 0001340356 scopus 로고    scopus 로고
    • Superrigidity and mapping class groups
    • B. FARB and H. MASUR, Superrigidity and mapping class groups, Topology 37 (1998), 1169-1176.
    • (1998) Topology , vol.37 , pp. 1169-1176
    • Farb, B.1    Masur, H.2
  • 14
    • 0013547591 scopus 로고
    • Random walks and discrete subgroups of Lie groups
    • Dekker, New York
    • H. FURSTENBERG, "Random walks and discrete subgroups of Lie groups" in Advances in Probability and Related Topics, Vol. 1, Dekker, New York, 1971, 1-63.
    • (1971) Advances in Probability and Related Topics , vol.1 , pp. 1-63
    • Furstenberg, H.1
  • 16
    • 58849157017 scopus 로고    scopus 로고
    • Train tracks and the Gromov boundary of the complex of curves
    • Cambridge Univ. Press, Cambridge
    • U. HAMENSTÄDT, "Train tracks and the Gromov boundary of the complex of curves" in Spaces of Kleinian Groups, London Math. Soc. Lecture Note Ser. 329, Cambridge Univ. Press, Cambridge, 2006, 187-207.
    • (2006) Spaces of Kleinian Groups, London Math. Soc. Lecture Note Ser. , vol.329 , pp. 187-207
    • Hamenstädt, U.1
  • 17
    • 1542640314 scopus 로고
    • Subgroups of Teichmüller Modular Groups
    • trans, from the Russian by E. J. F. Primrose and revised by the author, Amer. Math. Soc., Providence
    • N. V. IVANOV, Subgroups of Teichmüller Modular Groups, trans. from the Russian by E. J. F. Primrose and revised by the author, Trans. Math. Monogr. 115, Amer. Math. Soc., Providence, 1992.
    • (1992) Trans. Math. Monogr. , vol.115
    • Ivanov, N.V.1
  • 18
    • 0030555584 scopus 로고    scopus 로고
    • The Poisson boundary of the mapping class group
    • V. A. KAIMANOVICH and H. MASUR, The Poisson boundary of the mapping class group, Invent. Math. 125 (1996), 221-264.
    • (1996) Invent. Math. , vol.125 , pp. 221-264
    • Kaimanovich, V.A.1    Masur, H.2
  • 19
    • 4043154180 scopus 로고    scopus 로고
    • Some groups having only elementary actions on metric spaces with hyperbolic boundaries
    • A. KARLSSON and G. A. NOSKOV, Some groups having only elementary actions on metric spaces with hyperbolic boundaries, Geom. Dedicata 104 (2004), 119-137.
    • (2004) Geom. Dedicata , vol.104 , pp. 119-137
    • Karlsson, A.1    Noskov, G.A.2
  • 20
    • 0000113561 scopus 로고
    • The Nielsen realization problem
    • S. P. KERCKHOFF, The Nielsen realization problem, Ann. of Math. (2) 117 (1983), 235-265.
    • (1983) Ann. of Math. , vol.117 , Issue.2 , pp. 235-265
    • Kerckhoff, S.P.1
  • 22
    • 68349152551 scopus 로고    scopus 로고
    • The Large Sieve and Its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
    • Cambridge Univ. Press, Cambridge
    • E. KOWALSKI, The Large Sieve and Its Applications: Arithmetic Geometry, Random Walks and Discrete Groups, Cambridge Tracts in Math. 175, Cambridge Univ. Press, Cambridge, 2008.
    • (2008) Cambridge Tracts in Math , vol.175
    • Kowalski, E.1
  • 23
    • 84976048299 scopus 로고
    • A finite set of generators for the homeotopy group of a 2-manifold
    • W. B. R. LICKORISH, A finite set of generators for the homeotopy group of a 2-manifold, Proc. Cambridge Philos. Soc. 60 (1964), 769-778.
    • (1964) Proc. Cambridge Philos. Soc. , vol.60 , pp. 769-778
    • Lickorish, W.B.R.1
  • 24
    • 84959782901 scopus 로고
    • On mapping-class groups and Teichmüller spaces
    • C. MACLACHLAN and W. J. HARVEY, On mapping-class groups and Teichmüller spaces, Proc. London Math. Soc. (3) 30 (1975), 496-512.
    • (1975) Proc. London Math. Soc. , vol.30 , Issue.3 , pp. 496-512
    • Maclachlan, C.1    Harvey, W.J.2
  • 25
    • 77955274925 scopus 로고    scopus 로고
    • Asymptotics for pseudo-Anosov elements in Teichmüller lattices
    • J. MAHER, Asymptotics for pseudo-Anosov elements in Teichmüller lattices, Funct. Anal. 20 (2010), 527-544.
    • (2010) Funct. Anal. , vol.20 , pp. 527-544
    • Maher, J.1
  • 26
    • 0033473346 scopus 로고    scopus 로고
    • Geometry of the complex of curves, I: Hyperbolicity
    • H. A. MASUR and Y. N. MINSKY, Geometry of the complex of curves, I: Hyperbolicity, Invent. Math. 138 (1999), 103-149.
    • (1999) Invent. Math. , vol.138 , pp. 103-149
    • Masur, H.A.1    Minsky, Y.N.2
  • 27
    • 0034369294 scopus 로고    scopus 로고
    • Geometry of the complex of curves, II: Hierarchical structure
    • H. A. MASUR, Geometry of the complex of curves, II: Hierarchical structure, Geom. Funct. Anal. 10 (2000), 902-974.
    • (2000) Geom. Funct. Anal. , vol.10 , pp. 902-974
    • Masur, H.A.1
  • 28
    • 84967782927 scopus 로고
    • A "Tits-alternative" for subgroups of surface mapping class groups
    • J. MCCARTHY, A "Tits-alternative" for subgroups of surface mapping class groups, Trans. Amer. Math. Soc. 291 (1985), 583-612.
    • (1985) Trans. Amer. Math. Soc. , vol.291 , pp. 583-612
    • Mccarthy, J.1
  • 29
    • 51249173221 scopus 로고
    • Dynamics on Thurston's sphere of projective measured foliations
    • J. MCCARTHY and A. PAPADOPOULOS, Dynamics on Thurston's sphere of projective measured foliations, Comment. Math. Helv. 64 (1989), 133-166.
    • (1989) Comment. Math. Helv. , vol.64 , pp. 133-166
    • Mccarthy, J.1    Papadopoulos, A.2
  • 30
    • 30344434601 scopus 로고    scopus 로고
    • Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems
    • D. V. OSIN, Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems, Mem. Amer.Math. Soc. 179 (2006), no. 843.
    • (2006) Mem. Amer. Math. Soc. , vol.179 , pp. 843
    • Osin, D.V.1
  • 31
    • 74249123133 scopus 로고    scopus 로고
    • Covers and the curve complex
    • K. RAFI and S. SCHLEIMER, Covers and the curve complex, Geom. Topol. 13 (2009), 2141-2162.
    • (2009) Geom. Topol. , vol.13 , pp. 2141-2162
    • Rafi, K.1    Schleimer, S.2
  • 32
    • 42549120299 scopus 로고    scopus 로고
    • Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
    • I. RIVIN, Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms, Duke Math. J. 142 (2008), 353-379.
    • (2008) Duke Math. J. , vol.142 , pp. 353-379
    • Rivin, I.1
  • 34
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • W. P. THURSTON, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988), 417-431.
    • (1988) Bull. Amer. Math. Soc. (N. S.) , vol.19 , pp. 417-431
    • Thurston, W.P.1
  • 35
    • 0005282985 scopus 로고    scopus 로고
    • Random Walks on Infinite Graphs and Groups
    • Cambridge Univ. Press, Cambridge
    • W. WOESS, Random Walks on Infinite Graphs and Groups, Cambridge Tracts in Math. 138, Cambridge Univ. Press, Cambridge, 2000.
    • (2000) Cambridge Tracts in Math , vol.138
    • Woess, W.1
  • 36
    • 0041842001 scopus 로고
    • On the homeotopy group of surfaces
    • H. ZIESCHANG, On the homeotopy group of surfaces, Math. Ann. 206 (1973), 1-21.
    • (1973) Math. Ann. , vol.206 , pp. 1-21
    • Zieschang, H.1


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