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Volumn 12, Issue , 2007, Pages 887-925

Asymptotics for rooted bipartite planar maps and scaling limits of two-type spatial trees

Author keywords

Conditioned Brownian snake; Planar maps; Two type Galton Watson trees

Indexed keywords


EID: 34948886666     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v12-425     Document Type: Article
Times cited : (8)

References (19)
  • 1
    • 0003296611 scopus 로고
    • THE CONTINUUM RANDOM TREE III
    • ALDOUS, D. (1993) THE CONTINUUM RANDOM TREE III. Ann. Probab. 21, 248-289.
    • (1993) Ann. Probab , vol.21 , pp. 248-289
    • Aldous, D.1
  • 2
    • 0035539862 scopus 로고    scopus 로고
    • RANDOM MAPS, COALESCING SADDLES, SINGULARITY ANALYSIS, AND AIRY PHENOMENA
    • BANDERIER, C., FLAJOLET, P., SCHAEFFER G., SORIA M. (2001) RANDOM MAPS, COALESCING SADDLES, SINGULARITY ANALYSIS, AND AIRY PHENOMENA. Random Struct. Alg. 19, 194-246.
    • (2001) Random Struct. Alg , vol.19 , pp. 194-246
    • Banderier, C.1    Flajolet, P.2    Schaeffer, G.3    Soria, M.4
  • 4
    • 0842346773 scopus 로고    scopus 로고
    • RANDOM PLANAR LATTICES AND INTEGRATED SUPERBROWNIAN EXCURSION
    • CHASSAING, P., SCHAEFFER, G. (2004) RANDOM PLANAR LATTICES AND INTEGRATED SUPERBROWNIAN EXCURSION. Probab. Th. Rel. Fields 128, 161-212.
    • (2004) Probab. Th. Rel. Fields , vol.128 , pp. 161-212
    • Chassaing, P.1    Schaeffer, G.2
  • 5
    • 0042070742 scopus 로고
    • PLANAR TREES ARE WELL LABELED TREES
    • CORI, R., VAUQUELIN, B. (1981) PLANAR TREES ARE WELL LABELED TREES. Canad. J. Math. 33, 1023-1042.
    • (1981) Canad. J. Math , vol.33 , pp. 1023-1042
    • Cori, R.1    Vauquelin, B.2
  • 7
    • 0038336097 scopus 로고    scopus 로고
    • A LIMIT THEOREM FOR THE CONTOUR PROCESS OF CONDITIONED GALTON-WATSON TREES
    • DUQUESNE, T. (2003) A LIMIT THEOREM FOR THE CONTOUR PROCESS OF CONDITIONED GALTON-WATSON TREES. Ann. Probab. 31, 996-1027.
    • (2003) Ann. Probab , vol.31 , pp. 996-1027
    • Duquesne, T.1
  • 8
    • 15544389808 scopus 로고    scopus 로고
    • PROBABILISTIC AND FRACTAL ASPECTS OF LEVY TREES
    • DUQUESNE, T., LE GALL, J.F. (2005) PROBABILISTIC AND FRACTAL ASPECTS OF LEVY TREES. Probab. Th. Rel. Fields 131, 553-603.
    • (2005) Probab. Th. Rel. Fields , vol.131 , pp. 553-603
    • Duquesne, T.1    Le Gall, J.F.2
  • 9
  • 10
    • 0003715562 scopus 로고    scopus 로고
    • Spatial Branching Processes, Random Snakes and Partial Differential Equations
    • Birkhauser, Boston
    • LE GALL, J.F. (1999) Spatial Branching Processes, Random Snakes and Partial Differential Equations. Lectures in Mathematics ETH Zurich. Birkhauser, Boston.
    • (1999) Lectures in Mathematics ETH Zurich.
    • Le Gall, J.F.1
  • 11
    • 84890658651 scopus 로고    scopus 로고
    • RANDOM TREES AND APPLICATIONS
    • LE GALL, J.F. (2005) RANDOM TREES AND APPLICATIONS. Probab. Surveys 2, 245-311.
    • (2005) Probab. Surveys , vol.2 , pp. 245-311
    • Le Gall, J.F.1
  • 12
    • 32844462941 scopus 로고    scopus 로고
    • A CONDITIONAL LIMIT THEOREM FOR TREE-INDEXED RANDOM WALK
    • LE GALL, J.F. (2006) A CONDITIONAL LIMIT THEOREM FOR TREE-INDEXED RANDOM WALK. Stoch. Process. Appl. 116, 539-567.
    • (2006) Stoch. Process. Appl , vol.116 , pp. 539-567
    • Le Gall, J.F.1
  • 14
    • 0032348696 scopus 로고    scopus 로고
    • BRANCHING PROCESSES IN LEVY PROCESSES: THE EXPLORATION PROCESS
    • LE GALL, J.F, LE JAN, Y. (1998) BRANCHING PROCESSES IN LEVY PROCESSES: THE EXPLORATION PROCESS. Ann. Probab. 26, 213-252.
    • (1998) Ann. Probab , vol.26 , pp. 213-252
    • Le Gall, J.F.1    Le Jan, Y.2
  • 16
    • 34948861514 scopus 로고    scopus 로고
    • INVARIANCE PRINCIPLES FOR RANDOM BIPARTITE PLANAR MAPS
    • to appear
    • MARCKERT, J.F., MIERMONT, G. (2006) INVARIANCE PRINCIPLES FOR RANDOM BIPARTITE PLANAR MAPS. Ann. Probab., to appear.
    • (2006) Ann. Probab.
    • Marckert, J.F.1    Miermont, G.2
  • 17
    • 2542547238 scopus 로고    scopus 로고
    • STATE SPACES OF THE SNAKE AND ITS TOUR - CONVERGENCE OF THE DISCRETE SNAKE
    • MARCKERT, J.F., MOKKADEM, A. (2004) STATE SPACES OF THE SNAKE AND ITS TOUR - CONVERGENCE OF THE DISCRETE SNAKE. J. Theoret. Probability 16, 1015-1046.
    • (2004) J. Theoret. Probability , vol.16 , pp. 1015-1046
    • Marckert, J.F.1    Mokkadem, A.2
  • 18
    • 33947505882 scopus 로고    scopus 로고
    • Limits of normalized quadrangulations. The Brownian map
    • MAROKERT, J.F., MOKKADEM, A. (2004) Limits of normalized quadrangulations. The Brownian map. Ann. Probab 34, 2144-2202.
    • (2004) Ann. Probab , vol.34 , pp. 2144-2202
    • Marokert, J.F.1    Mokkadem, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.