메뉴 건너뛰기




Volumn 42, Issue 5, 2009, Pages 725-781

Tessellations of random maps of arbitrary genus

Author keywords

[No Author keywords available]

Indexed keywords


EID: 78649693579     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.24033/asens.2108     Document Type: Article
Times cited : (165)

References (45)
  • 1
    • 0001981461 scopus 로고
    • The continuum random tree. I
    • D. ALDOUS, The continuum random tree. I, Ann. Probab. 19 (1991), 1-28.
    • (1991) Ann. Probab. , vol.19 , pp. 1-28
    • Aldous, D.1
  • 3
    • 0346895438 scopus 로고    scopus 로고
    • Growth and percolation on the uniform infinite planar triangulation
    • DOI 10.1007/s00039-003-0436-5
    • O. ANGEL, Growth and percolation on the uniform infinite planar triangulation, Geom. Funct. Anal. 13 (2003), 935-974. (Pubitemid 37528499)
    • (2003) Geometric and Functional Analysis , vol.13 , Issue.5 , pp. 935-974
    • Angel, O.1
  • 4
    • 0001475475 scopus 로고
    • The asymptotic number of rooted maps on a surface
    • E. A. BENDER, E. R. CANFIELD, The asymptotic number of rooted maps on a surface, J. Combin. Theory 43(1986), 244-257.
    • (1986) J. Combin. Theory , vol.43 , pp. 244-257
    • Bender, E.A.1    Canfield, E.R.2
  • 5
  • 8
    • 43949124521 scopus 로고    scopus 로고
    • Statistics in geodesics in large quadrangulations
    • 30
    • J. BOUTTIER, E. GUITTER, Statistics in geodesics in large quadrangulations, J. Phys. 41 (2008), 145001, 30.
    • (2008) J. Phys. , vol.41 , pp. 145001
    • Bouttier, J.1    Guitter, E.2
  • 11
    • 0842346773 scopus 로고    scopus 로고
    • Random planar lattices and integrated superBrownian excursion
    • DOI 10.1007/s00440-003-0297-8
    • P. CHASSAING, G SCHAEFFER, Random planar lattices and integrated superBrownian excursion, Probab. Theory Related Fields 128 (2004), 161-212. (Pubitemid 38169954)
    • (2004) Probability Theory and Related Fields , vol.128 , Issue.2 , pp. 161-212
    • Chassaing, P.1    Schaeffer, G.2
  • 12
    • 4544355067 scopus 로고    scopus 로고
    • Cambridge Studies in Advanced Math. 74, Cambridge Univ. Press
    • R. M. DUDLEY, Real analysis and probability, Cambridge Studies in Advanced Math. 74, Cambridge Univ. Press, 2002.
    • (2002) Real Analysis and Probability
    • Dudley, R.M.1
  • 13
    • 0038336097 scopus 로고    scopus 로고
    • A limit theorem for the contour process of conditioned Galton-Watson trees
    • DOI 10.1214/aop/1048516543
    • T DUQUESNE, A limit theorem for the contour process of conditioned Galton-Watson trees, Ann. Probab. 31 (2003), 996-1027. (Pubitemid 36539700)
    • (2003) Annals of Probability , vol.31 , Issue.2 , pp. 996-1027
    • Duquesne, T.1
  • 14
    • 33947725198 scopus 로고    scopus 로고
    • Random trees, lévy processes and spatial branching processes
    • T. DUQUESNE, J.-F. LE GALL, Random trees, Lévy processes and spatial branching processes, Astérisque 281 (2002).
    • (2002) Astérisque , vol.281
    • Duquesne, T.1    Le Gall, J.-F.2
  • 15
    • 15544389808 scopus 로고    scopus 로고
    • Probabilistic and fractal aspects of Lévy trees
    • DOI 10.1007/s00440-004-0385-4
    • T. DUQUESNE, J.-F. LE GALL, Probabilistic and fractal aspects of Lévy trees, Probab. Theory Related Fields 131 (2005), 553-603. (Pubitemid 40405564)
    • (2005) Probability Theory and Related Fields , vol.131 , Issue.4 , pp. 553-603
    • Duquesne, T.1    Le Gall, J.-F.2
  • 16
    • 28144433682 scopus 로고    scopus 로고
    • Rayleigh processes, real trees, and root growth with re-grafting
    • DOI 10.1007/s00440-004-0411-6
    • S. N. EVANS, J. PITMAN, A. WINTER, Rayleigh processes, real trees, and root growth with re-grafting, Probab. Theory Related Fields 134 (2006), 81-126. (Pubitemid 41697436)
    • (2006) Probability Theory and Related Fields , vol.134 , Issue.1 , pp. 81-126
    • Evans, S.N.1    Pitman, J.2    Winter, A.3
  • 17
    • 33746227582 scopus 로고    scopus 로고
    • Subtree prune and regraft: A reversible real tree-valued Markov process
    • DOI 10.1214/009117906000000034
    • S. N. EVANS, A. WINTER, Subtree prune and regraft: a reversible real tree-valued Markov process, Ann. Probab. 34 (2006), 918-961. (Pubitemid 44091300)
    • (2006) Annals of Probability , vol.34 , Issue.3 , pp. 918-961
    • Evans, S.N.1    Winter, A.2
  • 19
    • 0040460272 scopus 로고
    • Collapsing of riemannian manifolds and eigenvalues of laplace operator
    • K. FUKAYA, Collapsing of Riemannian manifolds and eigenvalues of Laplace operator, Invent. Math. 87 (1987), 517-547.
    • (1987) Invent. Math. , vol.87 , pp. 517-547
    • Fukaya, K.1
  • 20
    • 38248998905 scopus 로고
    • A pattern for the asymptotic number of rooted maps on surfaces
    • Z. GAO, A pattern for the asymptotic number of rooted maps on surfaces, J. Combin. Theory 64 (1993), 246-264.
    • (1993) J. Combin. Theory , vol.64 , pp. 246-264
    • Gao, Z.1
  • 25
    • 21144463139 scopus 로고
    • The uniform random tree in a brownian excursion
    • J.-F. LE GALL, The uniform random tree in a Brownian excursion, Probab. Theory Related Fields 96 (1993), 369-383.
    • (1993) Probab. Theory Related Fields , vol.96 , pp. 369-383
    • Le Gall, J.-F.1
  • 26
    • 34548064980 scopus 로고    scopus 로고
    • The topological structure of scaling limits of large planar maps
    • J.-F. LE GALL, The topological structure of scaling limits of large planar maps, Invent. Math. 169 (2007), 621-670.
    • (2007) Invent. Math. , vol.169 , pp. 621-670
    • Le Gall, J.-F.1
  • 28
    • 52449120370 scopus 로고    scopus 로고
    • Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
    • J.-F. LE GALL, F PAULIN, Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere, Geom. Funct. Anal. 18 (2008), 893-918.
    • (2008) Geom. Funct. Anal. , vol.18 , pp. 893-918
    • Le Gall, J.-F.1    Paulin, F.2
  • 29
    • 85088760905 scopus 로고    scopus 로고
    • Yang-mills measure on compact surfaces
    • T LEVY, Yang-Mills measure on compact surfaces, Mem. Amer Math. Soc. 166 (2003).
    • (2003) Mem. Amer Math. Soc. , vol.166
    • Levy, T.1
  • 30
    • 38749135683 scopus 로고    scopus 로고
    • Invariance principles for random bipartite planar maps
    • J.-F. MARCKERT, G MIERMONT, Invariance principles for random bipartite planar maps, Ann. Probab. 35 (2007), 1642-1705.
    • (2007) Ann. Probab. , vol.35 , pp. 1642-1705
    • Marckert, J.-F.1    Miermont, G.2
  • 31
    • 2542547238 scopus 로고    scopus 로고
    • States spaces of the snake and its tour - Convergence of the discrete snake
    • DOI 10.1023/B:JOTP.0000012004.73051.f3
    • J.-F. MARCKERT, A. MOKKADEM, States spaces of the snake and its tour-convergence of the discrete snake, J. Theoret. Probab. 16 (2003), 1015-1046. (Pubitemid 39015576)
    • (2003) Journal of Theoretical Probability , vol.16 , Issue.4 , pp. 1015-1046
    • Marckert, J.-F.1    Mokkadem, A.2
  • 32
    • 33947505882 scopus 로고    scopus 로고
    • Limit of normalized quadrangulations: The brownian map
    • J.-F. MARCKERT, A. MOKKADEM, Limit of normalized quadrangulations: the Brownian map, Ann. Probab. 34 (2006), 2144-2202.
    • (2006) Ann. Probab. , vol.34 , pp. 2144-2202
    • Marckert, J.-F.1    Mokkadem, A.2
  • 34
    • 54249115196 scopus 로고    scopus 로고
    • An invariance principle for random planar maps
    • Discrete Math. Theor. Comput. Sci. Proc. (electronic)
    • G MIERMONT, An invariance principle for random planar maps, in Fourth Colloquium on Mathematics and Computer Sciences CMCS'06, Discrete Math. Theor. Comput. Sci. Proc., 2006, 39-58 (electronic).
    • (2006) Fourth Colloquium on Mathematics and Computer Sciences CMCS'06 , pp. 39-58
    • Miermont, G.1
  • 35
    • 77951852042 scopus 로고    scopus 로고
    • Invariance principles for spatial multitype galton-watson trees
    • G MIERMONT, Invariance principles for spatial multitype Galton-Watson trees, Ann. Inst. Henri Poincaré Probab. Stat. 44 (2008), 1128-1161.
    • (2008) Ann. Inst. Henri Poincaré Probab. Stat. , vol.44 , pp. 1128-1161
    • Miermont, G.1
  • 36
    • 38749149154 scopus 로고    scopus 로고
    • Radius and profile of random planar maps with faces of arbitrary degrees
    • G. MIERMONT, M. WEILL, Radius and profile of random planar maps with faces of arbitrary degrees, Electron. J. Probab. 13 (2008), 79-106.
    • (2008) Electron. J. Probab. , vol.13 , pp. 79-106
    • Miermont, G.1    Weill, M.2
  • 37
    • 0346385960 scopus 로고    scopus 로고
    • Random matrices and random permutations
    • A. OKOUNKOV, Random matrices and random permutations, Int. Math. Res. Not. 2000 (2000), 1043-1095.
    • (2000) Int. Math. Res. Not. , vol.2000 , pp. 1043-1095
    • Okounkov, A.1
  • 38
    • 77955323959 scopus 로고    scopus 로고
    • Gromov-witten theory, hurwitz numbers, and matrix models
    • Proc. Sympos. Pure Math. 80, Amer. Math. Soc
    • A. OKOUNKOV, R. PANDHARIPANDE, Gromov-Witten theory, Hurwitz numbers, and matrix models, in Algebraic geometry-Seattle 2005. Part 1, Proc. Sympos. Pure Math. 80, Amer. Math. Soc, 2009, 325-414.
    • (2009) Algebraic Geometry-seattle 2005. Part 1 , pp. 325-414
    • Okounkov, A.1    Pandharipande, R.2
  • 43
    • 34547233310 scopus 로고    scopus 로고
    • Gaussian free fields for mathematicians
    • S. SHEFFIELD, Gaussian free fields for mathematicians, Probab. Theory Related Fields 139 (2007), 521-541.
    • (2007) Probab. Theory Related Fields , vol.139 , pp. 521-541
    • Sheffield, S.1
  • 44
    • 73949084476 scopus 로고    scopus 로고
    • Grund. Math. Wiss. 338, Springer
    • C. VILLANI, Optimal transport, Grund. Math. Wiss. 338, Springer, 2009.
    • (2009) Optimal Transport
    • Villani, C.1
  • 45
    • 34948886666 scopus 로고    scopus 로고
    • Asymptotics for rooted bipartite planar maps and scaling limits of two-type spatial trees
    • M. WEILL, Asymptotics for rooted bipartite planar maps and scaling limits of two-type spatial trees, Electron. J. Probab. 12 (2007), 887-925.
    • (2007) Electron. J. Probab. , vol.12 , pp. 887-925
    • Weill, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.