@article{AIHPB_2007__43_4_481_0, author = {Mytnik, L. and Villa, J.}, title = {Self-intersection local time of $(\alpha ,d,\beta )$-superprocess}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {481--507}, publisher = {Elsevier}, volume = {43}, number = {4}, year = {2007}, doi = {10.1016/j.anihpb.2006.07.005}, mrnumber = {2329513}, zbl = {1118.60041}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2006.07.005/} }
TY - JOUR AU - Mytnik, L. AU - Villa, J. TI - Self-intersection local time of $(\alpha ,d,\beta )$-superprocess JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2007 SP - 481 EP - 507 VL - 43 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpb.2006.07.005/ DO - 10.1016/j.anihpb.2006.07.005 LA - en ID - AIHPB_2007__43_4_481_0 ER -
%0 Journal Article %A Mytnik, L. %A Villa, J. %T Self-intersection local time of $(\alpha ,d,\beta )$-superprocess %J Annales de l'I.H.P. Probabilités et statistiques %D 2007 %P 481-507 %V 43 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpb.2006.07.005/ %R 10.1016/j.anihpb.2006.07.005 %G en %F AIHPB_2007__43_4_481_0
Mytnik, L.; Villa, J. Self-intersection local time of $(\alpha ,d,\beta )$-superprocess. Annales de l'I.H.P. Probabilités et statistiques, Volume 43 (2007) no. 4, pp. 481-507. doi : 10.1016/j.anihpb.2006.07.005. http://archive.numdam.org/articles/10.1016/j.anihpb.2006.07.005/
[1] Superprocess local and intersection local times and their corresponding particle pictures, in: Seminar on Stochastic Processes, 1992, Birkhäuser, 1993, pp. 1-42. | MR | Zbl
,[2] An evolution equation for the intersection local times of superprocesses, in: , (Eds.), Stochastic Analysis, 1991, pp. 1-22. | MR | Zbl
, ,[3] Local time and Tanaka formulae for super Brownian motion and super stable processes, Stochastic Process. Appl. 41 (1992) 45-67. | MR | Zbl
, ,[4] Measure-valued Markov processes, in: École d'Été de Probabilitiés de Saint Flour XXI, Lecture Notes in Math., vol. 1541, Springer, Berlin, 1993, pp. 1-260. | MR | Zbl
,[5] Infinitely divisible random measure and superprocesses, in: Stochastic Analysis and Related Topics, Birkhäuser, Boston, 1992, pp. 1-130. | MR | Zbl
,[6] Representation for functionals of superprocesses by multiples stochastic integrals, with applications to self-intersection local times, Astérisque 157-158 (1988) 147-171. | Zbl
,[7] Propriétés de martingales, explosion et représentation de Lévy-Khintchine d'une classe de processus de branchement à valeurs measures, Stochastic Process. Appl. 38 (1991) 239-266. | Zbl
, ,[8] Stochastic Differential Equations and Diffusion Processes, North-Holland Publishing Company and Kodansha Ltd., 1981. | MR | Zbl
, ,[9] A weighted occupation time for a class of measure-valued branching processes, Probab. Theory Related Fields 71 (1986) 85-116. | MR | Zbl
,[10] Spatial Branching Processes Random Snakes and Partial Differential Equations, Birkhäuser, 1999. | MR | Zbl
,[11] Stochastic integral representation and regularity of the density for the exit measure of super-Brownian motion, Ann. Probab. 33 (1) (2005) 194-222. | MR | Zbl
, ,[12] Collision measure and collision local time for -superprocesses, J. Theoret. Probab. 11 (3) (1998) 733-763. | MR | Zbl
,[13] Regularity and irregularity of -stable super-Brownian motion, Ann. Probab. 31 (3) (2003) 1413-1440. | MR | Zbl
, ,[14] On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients, Ann. Probab. 34 (5) (2006) 1910-1959. | MR | Zbl
, , ,[15] Renormalizations and limit theorems for self-intersections of superprocesses, Ann. Probab. 20 (3) (1992) 1341-1368. | MR | Zbl
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