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Volumn 29, Issue 4, 2006, Pages 475-523

Limit laws for embedded trees: Applications to the integrated SuperBrownian excursion

Author keywords

Embedded trees; Generating functions; Integrated superbrownian excursion; Limit laws

Indexed keywords


EID: 33750496755     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20136     Document Type: Article
Times cited : (32)

References (35)
  • 1
    • 21344477318 scopus 로고
    • Tree-based models for random distribution of mass
    • D. Aldous, Tree- based models for random distribution of mass, J Statist Phys 73(3-4) (1993), 625-641.
    • (1993) J Statist Phys , vol.73 , Issue.3-4 , pp. 625-641
    • Aldous, D.1
  • 8
    • 0242595783 scopus 로고    scopus 로고
    • Statistics of planar graphs viewed from a vertex: A study via labeled trees
    • J. Bouttier, P. Di Francesco, and E. Quitter, Statistics of planar graphs viewed from a vertex: A study via labeled trees, Nuclear Phys B 675(3) (2003), 631-660.
    • (2003) Nuclear Phys B , vol.675 , Issue.3 , pp. 631-660
    • Bouttier, J.1    Di Francesco, P.2    Quitter, E.3
  • 9
    • 11244263338 scopus 로고    scopus 로고
    • The center of mass of the ISE and the Wiener index of trees
    • P. Chassaing and S. Janson, The center of mass of the ISE and the Wiener index of trees, Electr Comm Probab 9 (2004), 178-187.
    • (2004) Electr Comm Probab , vol.9 , pp. 178-187
    • Chassaing, P.1    Janson, S.2
  • 10
    • 0842346773 scopus 로고    scopus 로고
    • Random planar lattices and integrated superBrownian excursion
    • P. Chassaing and G. Schaeffer, Random planar lattices and integrated superBrownian excursion, Probab Theor Related Fields 128(2) (2004), 161-212.
    • (2004) Probab Theor Related Fields , vol.128 , Issue.2 , pp. 161-212
    • Chassaing, P.1    Schaeffer, G.2
  • 11
    • 9544253477 scopus 로고    scopus 로고
    • Exercises in probability
    • Cambridge University Press, Cambridge. A guided tour from measure theory to random processes, via conditioning
    • L. Chaumont and M. Yor, Exercises in probability, Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, Cambridge, 2003. A guided tour from measure theory to random processes, via conditioning.
    • (2003) Cambridge Series in Statistical and Probabilistic Mathematics
    • Chaumont, L.1    Yor, M.2
  • 12
    • 0007019203 scopus 로고
    • Excursions in Brownian motion
    • K. L. Chung, Excursions in Brownian motion, Ark Mat 14(2) (1976), 155-177.
    • (1976) Ark Mat , vol.14 , Issue.2 , pp. 155-177
    • Chung, K.L.1
  • 13
    • 0042070742 scopus 로고
    • Planar maps are well labeled trees
    • R. Cori and B. Vauquelin, Planar maps are well labeled trees, Can J Math 33(5) (1981), 1023-1042.
    • (1981) Can J Math , vol.33 , Issue.5 , pp. 1023-1042
    • Cori, R.1    Vauquelin, B.2
  • 14
    • 0141555830 scopus 로고    scopus 로고
    • Left ternary trees and non-separable rooted planar maps
    • A. Del Lungo, F. Del Ristoro, and J.-G. Penaud, Left ternary trees and non-separable rooted planar maps, Theoret Comput Sci 233(1-2) (2000), 201-215.
    • (2000) Theoret Comput Sci , vol.233 , Issue.1-2 , pp. 201-215
    • Del Lungo, A.1    Del Ristoro, F.2    Penaud, J.-G.3
  • 15
    • 0842294317 scopus 로고    scopus 로고
    • Computation of moments for the length of the one dimensional ISE support
    • Paper no. 17, (electronic)
    • J.-F. Delmas, Computation of moments for the length of the one dimensional ISE support, Electron J Probab 8:Paper no. 17, 15 pp. (electronic), 2003.
    • (2003) Electron J Probab , vol.8
    • Delmas, J.-F.1
  • 16
    • 0031093268 scopus 로고    scopus 로고
    • Lattice trees and super-Brownian motion
    • E. Derbez and G. Slade, Lattice trees and super-Brownian motion, Can Math Bull 40(1) (1997), 19-38.
    • (1997) Can Math Bull , vol.40 , Issue.1 , pp. 19-38
    • Derbez, E.1    Slade, G.2
  • 17
    • 0032362767 scopus 로고    scopus 로고
    • The scaling limit of lattice trees in high dimensions
    • E. Derbez and G. Slade, The scaling limit of lattice trees in high dimensions, Comm Math Phys 193(1) (1998), 69-104.
    • (1998) Comm Math Phys , vol.193 , Issue.1 , pp. 69-104
    • Derbez, E.1    Slade, G.2
  • 18
    • 0031525480 scopus 로고    scopus 로고
    • On the profile of random trees
    • M. Drmota and B. Gittenberger, On the profile of random trees, Random Struct Algor 10(4) (1997), 421-451.
    • (1997) Random Struct Algor , vol.10 , Issue.4 , pp. 421-451
    • Drmota, M.1    Gittenberger, B.2
  • 20
    • 0029326388 scopus 로고
    • Mellin transforms and asymptotics: Harmonic sums
    • P. Flajolet, X. Gourdon, and P. Dumas, Mellin transforms and asymptotics: harmonic sums, Theoret Comput Sci 144(1-2) (1995), 3-58.
    • (1995) Theoret Comput Sci , vol.144 , Issue.1-2 , pp. 3-58
    • Flajolet, P.1    Gourdon, X.2    Dumas, P.3
  • 21
    • 0020192603 scopus 로고
    • The average height of binary trees and other simple trees
    • P. Flajolet and A. Odlyzko, The average height of binary trees and other simple trees, J Comput System Sci 25(2) (1982), 171-213.
    • (1982) J Comput System Sci , vol.25 , Issue.2 , pp. 171-213
    • Flajolet, P.1    Odlyzko, A.2
  • 22
    • 0000640693 scopus 로고
    • Singularity analysis of generating functions
    • P. Flajolet and A. Odlyzko, Singularity analysis of generating functions, SIAM J Discrete Math 3(2) (1990), 216-240.
    • (1990) SIAM J Discrete Math , vol.3 , Issue.2 , pp. 216-240
    • Flajolet, P.1    Odlyzko, A.2
  • 24
    • 0002957647 scopus 로고    scopus 로고
    • A bijective census of nonseparable planar maps
    • B. Jacquard and G. Schaeffer, A bijective census of nonseparable planar maps, J Combinator Theor A 83(1) (1998), 1-20.
    • (1998) J Combinator Theor A , vol.83 , Issue.1 , pp. 1-20
    • Jacquard, B.1    Schaeffer, G.2
  • 26
    • 25144519711 scopus 로고    scopus 로고
    • Convergence of discrete snakes
    • S. Janson and J.-F. Marckert, Convergence of discrete snakes, J Theoret Probab 18(3) (2005), 615-645.
    • (2005) J Theoret Probab , vol.18 , Issue.3 , pp. 615-645
    • Janson, S.1    Marckert, J.-F.2
  • 27
    • 0000535030 scopus 로고
    • Stochastic partial differential equations for some measure-valued diffusions
    • N. Konno and T. Shiga, Stochastic partial differential equations for some measure-valued diffusions, Probab Theor Related Fields 79(2) (1988), 201-225.
    • (1988) Probab Theor Related Fields , vol.79 , Issue.2 , pp. 201-225
    • Konno, N.1    Shiga, T.2
  • 28
    • 0039941210 scopus 로고    scopus 로고
    • Spatial branching processes, random snakes and partial differential equations
    • Birkhäuser Verlag, Basel
    • J.-F. Le Gall, Spatial branching processes, random snakes and partial differential equations, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel, 1999.
    • (1999) Lectures in Mathematics ETH Zürich
    • Le Gall, J.-F.1
  • 29
    • 2542547326 scopus 로고    scopus 로고
    • The rotation correspondence is asymptotically a dilatation
    • J.-F. Marckert, The rotation correspondence is asymptotically a dilatation, Random Struct Algo 24(2) (2004), 118-132.
    • (2004) Random Struct Algo , vol.24 , Issue.2 , pp. 118-132
    • Marckert, J.-F.1
  • 30
    • 2542547238 scopus 로고    scopus 로고
    • States spaces of the snake and its tour - Convergence of the discrete snake
    • J.-F. Marckert and A. Mokkadem, States spaces of the snake and its tour - Convergence of the discrete snake, J Theoret Probab 16(4) (2003), 1015-1046.
    • (2003) J Theoret Probab , vol.16 , Issue.4 , pp. 1015-1046
    • Marckert, J.-F.1    Mokkadem, A.2
  • 32
    • 0000474237 scopus 로고
    • One-dimensional stochastic partial differential equations and the branching measure diffusion
    • M. Reimers, One-dimensional stochastic partial differential equations and the branching measure diffusion, Probab Theor Related Fields 81(3) (1989), 319-340.
    • (1989) Probab Theor Related Fields , vol.81 , Issue.3 , pp. 319-340
    • Reimers, M.1
  • 33
    • 0013386138 scopus 로고    scopus 로고
    • Enumerative combinatorics vol. 2
    • Cambridge University Press, Cambridge
    • R. P. Stanley, Enumerative combinatorics Vol. 2, volume 62 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1999.
    • (1999) Cambridge Studies in Advanced Mathematics , vol.62
    • Stanley, R.P.1
  • 34
    • 84972557857 scopus 로고
    • Some properties for the measure-valued branching diffusion processes
    • S. Sugitani, Some properties for the measure-valued branching diffusion processes, J Math Soc Japan 41(3) (1989), 437-462.
    • (1989) J Math Soc Japan , vol.41 , Issue.3 , pp. 437-462
    • Sugitani, S.1
  • 35
    • 0000693589 scopus 로고
    • A census of planar maps
    • W. T. Tutte, A census of planar maps, Can J Math 15 (1963), 249-271.
    • (1963) Can J Math , vol.15 , pp. 249-271
    • Tutte, W.T.1


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