@article{AIHPB_2006__42_4_455_0, author = {Le Gall, Jean-Fran\c cois and Weill, Mathilde}, title = {Conditioned brownian trees}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {42}, year = {2006}, pages = {455-489}, doi = {10.1016/j.anihpb.2005.08.001}, mrnumber = {2242956}, zbl = {1107.60053}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_2006__42_4_455_0} }
Le Gall, Jean-François; Weill, Mathilde. Conditioned brownian trees. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) pp. 455-489. doi : 10.1016/j.anihpb.2005.08.001. http://gdmltest.u-ga.fr/item/AIHPB_2006__42_4_455_0/
[1] Avoiding probabilities for Brownian snakes and super-Brownian motion, Electron. J. Probab. 2 (3) (1997) 27. | MR 1447333 | Zbl 0890.60068
, ,[2] Representations of the Brownian snake with drift, Stochastics Stochastics Rep. 73 (2002) 287-308. | MR 1932163 | Zbl 1011.60055
, ,[3] The continuum random tree I, Ann. Probab. 19 (1991) 1-28. | MR 1085326 | Zbl 0722.60013
,[4] The continuum random tree. II. An overview, in: Stochastic Analysis, Durham, 1990, London Math. Soc. Lecture Note Ser., vol. 167, Cambridge Univ. Press, Cambridge, 1991, pp. 23-70. | MR 1166406 | Zbl 0791.60008
,[5] The continuum random tree III, Ann. Probab. 21 (1993) 248-289. | MR 1207226 | Zbl 0791.60009
,[6] Tree-based models for random distribution of mass, J. Statist. Phys. 73 (1993) 625-641. | MR 1251658 | Zbl 1102.60318
,[7] Random trees between two walls: exact partition function, J. Phys. A 36 (2003) 12349-12366. | MR 2025872 | Zbl 1051.82010
, , ,[8] Statistics of planar graphs viewed from a vertex: a study via labeled trees, Nucl. Phys. B 675 (2003) 631-660. | MR 2018892 | Zbl 1027.05021
, , ,[9] P. Chassaing, B. Durhuus, Statistical Hausdorff dimension of labelled trees and quadrangulations, Preprint, 2003.
[10] Random planar lattices and integrated super-Brownian excursion, Probab. Theory Related Fields 128 (2004) 161-212. | MR 2031225 | Zbl 1041.60008
, ,[11] Planar trees are well labeled trees, Canad. J. Math. 33 (1981) 1023-1042. | MR 638363 | Zbl 0415.05020
, ,[12] Computation of moments for the length of the one dimensional ISE support, Electron. J. Probab. 8 (17) (2003) 15. | MR 2041818 | Zbl 1064.60169
,[13] The scaling limit of lattice trees in high dimensions, Comm. Math. Phys. 198 (1998) 69-104. | MR 1620301 | Zbl 0915.60076
, ,[14] A limit theorem for the contour process of conditioned Galton-Watson trees, Ann. Probab. 31 (2003) 996-1027. | MR 1964956 | Zbl 1025.60017
,[15] Probabilistic and fractal aspects of Lévy trees, Probab. Theory Related Fields 131 (2005) 553-603. | MR 2147221 | Zbl 1070.60076
, ,[16] S.N. Evans, J.W. Pitman, A. Winter, Rayleigh processes, real trees and root growth with re-grafting, Probab. Theory Related Fields (2003), in press. | Zbl 1086.60050
[17] The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion. Probabilistic techniques in equilibrium and nonequilibrium statistical physics, J. Math. Phys. 41 (2000) 1244-1293. | MR 1757958 | Zbl 0977.82022
, ,[18] S. Janson, J.F. Marckert, Convergence of discrete snakes, J. Theoret. Probab. (2003), in press. | MR 2167644 | Zbl 1084.60049
[19] Decomposing the branching Brownian path, Ann. Probab. 2 (1992) 973-986. | MR 1189426 | Zbl 0771.60057
, ,[20] Random Measures, Academic Press, London, 1975. | MR 818219 | Zbl 0345.60032
,[21] Brownian excursions, trees and measure-valued branching processes, Ann. Probab. 19 (1991) 1399-1439. | MR 1127710 | Zbl 0753.60078
,[22] The uniform random tree in a Brownian excursion, Probab. Theory Related Fields 96 (1993) 369-383. | MR 1231930 | Zbl 0794.60080
,[23] The Brownian snake and solutions of in a domain, Probab. Theory Related Fields 102 (1995) 393-432. | Zbl 0826.60062
,[24] Spatial Branching Processes, Random Snakes and Partial Differential Equations, Lectures Math. ETH Zürich, Birkhäuser, Boston, 1999. | MR 1714707 | Zbl 0938.60003
,[25] J.F. Le Gall, A conditional limit theorem for tree-indexed random walk, Stochastic Process. Appl. (2005), in press. | MR 2205115 | Zbl 1093.60061
[26] State spaces of the snake and its tour - convergence of the discrete snake, J. Theoret. Probab. 16 (2004) 1015-1046. | MR 2033196 | Zbl 1044.60083
, ,[27] J.F. Marckert, A. Mokkadem, Limits of normalized quadrangulations. The Brownian map, Preprint, 2004. | MR 2294979
[28] Continuous Martingales and Brownian Motion, Springer, Berlin, 1991. | MR 1083357 | Zbl 0731.60002
, ,[29] Convergence of critical oriented percolation to super-Brownian motion above dimensions, Ann. Inst. H. Poincaré Probab. Statist. 39 (2003) 413-485. | Numdam | MR 1978987 | Zbl 1020.60099
, ,[30] A relation between Brownian bridge and Brownian excursion, Ann. Probab. 7 (1979) 143-149. | MR 515820 | Zbl 0392.60058
,[31] Loi de l'indice du lacet brownien, et distribution de Hartman-Watson, Z. Wahr. Verw. Gebiete 53 (1980) 71-95. | MR 576898 | Zbl 0436.60057
,