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Volumn 169, Issue 3, 2007, Pages 621-670

The topological structure of scaling limits of large planar maps

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EID: 34548064980     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-007-0059-9     Document Type: Article
Times cited : (179)

References (31)
  • 1
    • 3042515241 scopus 로고    scopus 로고
    • Avoiding probabilities for Brownian snakes and super-Brownian motion
    • 3
    • Abraham, R., Werner, W.: Avoiding probabilities for Brownian snakes and super-Brownian motion. Electron. J. Probab. 2(3), 27 (1997)
    • (1997) Electron. J. Probab. , vol.2 , pp. 27
    • Abraham, R.1    Werner, W.2
  • 2
    • 0001981461 scopus 로고
    • The continuum random tree i
    • Aldous, D.: The continuum random tree I. Ann. Probab. 19, 1-28 (1991)
    • (1991) Ann. Probab. , vol.19 , pp. 1-28
    • Aldous, D.1
  • 3
    • 0003296611 scopus 로고
    • The continuum random tree III
    • Aldous, D.: The continuum random tree III. Ann. Probab. 21, 248-289 (1993)
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.1
  • 4
    • 0003643205 scopus 로고    scopus 로고
    • Quantum geometry
    • A Statistical Field Theory Approach Cambridge Univ. Press Cambridge
    • Ambjorn, J., Durhuus, B., Jonsson, T.: Quantum Geometry. A Statistical Field Theory Approach. Cambr. Monogr. Math. Phys., vol. 1. Cambridge Univ. Press, Cambridge (1997)
    • (1997) Cambr. Monogr. Math. Phys. , vol.1
    • Ambjorn, J.1    Durhuus, B.2    Jonsson, T.3
  • 5
    • 0346895438 scopus 로고    scopus 로고
    • Growth and percolation on the uniform infinite planar triangulation
    • Angel, O.: Growth and percolation on the uniform infinite planar triangulation. Geom. Funct. Anal. 3, 935-974 (2003)
    • (2003) Geom. Funct. Anal. , vol.3 , pp. 935-974
    • Angel, O.1
  • 6
    • 0242339395 scopus 로고    scopus 로고
    • Uniform infinite planar triangulations
    • Angel, O., Schramm, O.: Uniform infinite planar triangulations. Commun. Math. Phys. 241, 191-213 (2003)
    • (2003) Commun. Math. Phys. , vol.241 , pp. 191-213
    • Angel, O.1    Schramm, O.2
  • 11
    • 33746242231 scopus 로고    scopus 로고
    • Local limit of labeled trees and expected volume growth in a random quadrangulation
    • Chassaing, P., Durhuus, B.: Local limit of labeled trees and expected volume growth in a random quadrangulation. Ann. Probab. 34, 879-917 (2006)
    • (2006) Ann. Probab. , vol.34 , pp. 879-917
    • Chassaing, P.1    Durhuus, B.2
  • 12
    • 0842346773 scopus 로고    scopus 로고
    • Random planar lattices and integrated super Brownian excursion
    • Chassaing, P., Schaeffer, G.: Random planar lattices and integrated super Brownian excursion. Probab. Theory Relat. Fields 128, 161-212 (2004)
    • (2004) Probab. Theory Relat. Fields , vol.128 , pp. 161-212
    • Chassaing, P.1    Schaeffer, G.2
  • 13
    • 0042070742 scopus 로고
    • Planar maps are well labeled trees
    • Cori, R., Vauquelin, B.: Planar maps are well labeled trees. Can. J. Math. 33, 1023-1042 (1981)
    • (1981) Can. J. Math. , vol.33 , pp. 1023-1042
    • Cori, R.1    Vauquelin, B.2
  • 14
    • 33744549078 scopus 로고
    • Planar diagrams, two-dimensional lattice gravity and surface models
    • David, F.: Planar diagrams, two-dimensional lattice gravity and surface models. Nucl. Phys. B 257, 45-58 (1985)
    • (1985) Nucl. Phys. B , vol.257 , pp. 45-58
    • David, F.1
  • 15
    • 15544389808 scopus 로고    scopus 로고
    • Probabilistic and fractal aspects of Lévy trees
    • Duquesne, T., Le Gall, J.F.: Probabilistic and fractal aspects of Lévy trees. Probab. Theory Relat. Fields 131, 553-603 (2005)
    • (2005) Probab. Theory Relat. Fields , vol.131 , pp. 553-603
    • Duquesne, T.1    Le Gall, J.F.2
  • 18
    • 33744543538 scopus 로고
    • A planar diagram theory for strong interactions
    • 't Hooft, G.: A planar diagram theory for strong interactions. Nucl. Phys. B 72, 461-473 (1974)
    • (1974) Nucl. Phys. B , vol.72 , pp. 461-473
    • 'T Hooft, G.1
  • 19
    • 25144519711 scopus 로고    scopus 로고
    • Convergence of discrete snakes
    • Janson, S., Marckert, J.F.: Convergence of discrete snakes. J. Theor. Probab. 18, 615-645 (2005)
    • (2005) J. Theor. Probab. , vol.18 , pp. 615-645
    • Janson, S.1    Marckert, J.F.2
  • 22
    • 84890658651 scopus 로고    scopus 로고
    • Random trees and applications
    • Le Gall, J.F.: Random trees and applications. Probab. Surv. 2, 245-311 (2005)
    • (2005) Probab. Surv. , vol.2 , pp. 245-311
    • Le Gall, J.F.1
  • 23
    • 32844462941 scopus 로고    scopus 로고
    • A conditional limit theorem for tree-indexed random walk
    • Le Gall, J.F.: A conditional limit theorem for tree-indexed random walk. Stochastic Processes Appl. 116, 539-567 (2006)
    • (2006) Stochastic Processes Appl. , vol.116 , pp. 539-567
    • Le Gall, J.F.1
  • 26
    • 34548064838 scopus 로고    scopus 로고
    • Invariance principles for labeled mobiles and bipartite planar maps
    • To appear arXiv:math.PR/0504110
    • Marckert, J.F., Miermont, G.: Invariance principles for labeled mobiles and bipartite planar maps. To appear in Ann. Probab. (2005) arXiv:math.PR/ 0504110
    • (2005) Ann. Probab.
    • Marckert, J.F.1    Miermont, G.2
  • 30
    • 0000693589 scopus 로고
    • A census of planar maps
    • Tutte, W.T.: A census of planar maps. Can. J. Math. 15, 249-271 (1963)
    • (1963) Can. J. Math. , vol.15 , pp. 249-271
    • Tutte, W.T.1
  • 31
    • 34948886666 scopus 로고    scopus 로고
    • Asymptotics for rooted planar maps and scaling limits of two-type Galton-Watson trees
    • To appear arXiv:math.PR/0609334
    • Weill, M.: Asymptotics for rooted planar maps and scaling limits of two-type Galton-Watson trees. To appear in Electron. J. Probab. (2007) arXiv:math.PR/0609334
    • (2007) Electron. J. Probab.
    • Weill, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.