Joint continuity of renormalized intersection local times
Annales de l'I.H.P. Probabilités et statistiques, Tome 32 (1996) no. 6, pp. 671-700.
@article{AIHPB_1996__32_6_671_0,
     author = {Rosen, Jay S.},
     title = {Joint continuity of renormalized intersection local times},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {671--700},
     publisher = {Gauthier-Villars},
     volume = {32},
     number = {6},
     year = {1996},
     mrnumber = {1422306},
     zbl = {0867.60049},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1996__32_6_671_0/}
}
TY  - JOUR
AU  - Rosen, Jay S.
TI  - Joint continuity of renormalized intersection local times
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1996
SP  - 671
EP  - 700
VL  - 32
IS  - 6
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPB_1996__32_6_671_0/
LA  - en
ID  - AIHPB_1996__32_6_671_0
ER  - 
%0 Journal Article
%A Rosen, Jay S.
%T Joint continuity of renormalized intersection local times
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1996
%P 671-700
%V 32
%N 6
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPB_1996__32_6_671_0/
%G en
%F AIHPB_1996__32_6_671_0
Rosen, Jay S. Joint continuity of renormalized intersection local times. Annales de l'I.H.P. Probabilités et statistiques, Tome 32 (1996) no. 6, pp. 671-700. http://www.numdam.org/item/AIHPB_1996__32_6_671_0/

[1] R. Bass and D. Khoshnevisan, Intersection local times and Tanaka formulas, Ann. Inst. H. Poincaré Prob. Stat., Vol. 29, 1993, pp. 419-452. | Numdam | MR | Zbl

[2] R. Blumenthal and R. Getoor, Markov Processes and Potential Theory, Academic Press, New York, 1968. | MR | Zbl

[3] E.B. Dynkin, Self-intersection gauge for random walks and for Brownian motion, Ann. Probab., Vol. 16, 1988, pp. 1-57. | MR | Zbl

[4] P. Fitzsimmons and T. Salisbury, Capacity and energy for multiparameter Markov processes, Ann. Inst. H. Poincaré Prob. Stat., Vol. 25, 1989, pp. 325-350. | Numdam | MR | Zbl

[5] D. Geman, J. Horowitz and J. Rosen, A local time analysis of intersections of Brownian paths in the plane, Ann. Probab., Vol. 12, 1984, pp. 86-107. | MR | Zbl

[6] J. Rosen, J.-F. Le Gall and N.R. Shieh, Multiple points of Levy processes, Ann. Probab., Vol. 17, 1989, pp. 503-515. | MR | Zbl

[7] J.-F. Le Gall, Sur le temps local d'intersection du mouvement brownien plan et la méthode de renormalisation de Varadhan, Sem. de Prob. XIX (Berlin), Lecture Notes Math, Vol. 1123, Springer-Verlag, Berlin, 1985, pp. 314-331. | Numdam | MR | Zbl

[8] J.-F. Le Gall, Propriétés d'intersection des marches aléatoires, I, Comm. Math. Phys., Vol. 104, 1986, pp. 471-507. | MR | Zbl

[9] J.-F. Le Gall, Fluctuation results for the Wiener sausage, Ann. Probab., Vol. 16, 1988, pp. 991-1018. | MR | Zbl

[10] J.-F. Le Gall, Some properties of planar Brownian motion, École d'été de probabilités de St. Flour XX, 1990 (Berlin), Lecture Notes in Mathematics, Vol. 1527, Springer-Verlag, Berlin, 1992. | MR | Zbl

[11] J.-F. Le Gall and J. Rosen, The range of stable random walks, Ann. Probab., Vol. 19, 1991, pp. 650-705. | MR | Zbl

[12] D. Revuz and M. Yor, Continuous martingales and Brownian motion, Springer-Verlag, New York, 1991. | MR | Zbl

[13] J. Rosen, Self-intersections of stable processes in the plane: local times and limit theorems, Seminar on Stochastic Processes, 1990 (Boston), Progress in Probability, Vol. 24, Birkhauser, Boston, 1991, pp. 285-320. | MR | Zbl

[14] J. Rosen, The asymptotics of stable sausages in the plane, Ann. Probab., Vol. 20, 1992, pp. 29-60. | MR | Zbl

[15] J. Rosen, A jointly continuous local time for triple intersections of a stable process in the plane, Stochastics, Vol. 39, 1992, pp. 119-137. | MR | Zbl

[16] J. Rosen and M. Yor, Tanaka formulae and renormalization for triple intersections of Brownian motion in the plane, Ann. Probab., Vol. 19, 1991, pp. 142-159. | MR | Zbl

[17] S.R.S. Varadhan, Appendix to Euclidian quantum field theory by K. Symanzyk, Local Quantum Theory (R. Jost, ed.), Academic Press, 1969.

[18] W. Werner, Sur les singularities des temps locaux d'intersection du movement Brownian plan, Ann. Inst. H. Poincaré Prob. Stat., Vol. 29, 1993, pp. 391-418. | Numdam | MR | Zbl