Sur le temps local d'intersection du mouvement brownien plan et la méthode de renormalisation de Varadhan
Séminaire de probabilités de Strasbourg, Volume 19  (1985), p. 314-331 
@article{SPS_1985__19__314_0,
     author = {Le Gall, Jean-Fran\c cois},
     title = {Sur le temps local d'intersection du mouvement brownien plan et la m\'ethode de renormalisation de Varadhan},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {19},
     year = {1985},
     pages = {314-331},
     zbl = {0563.60072},
     mrnumber = {889492},
     language = {fr},
     url = {http://www.numdam.org/item/SPS_1985__19__314_0}
}

Le Gall, Jean-François. Sur le temps local d'intersection du mouvement brownien plan et la méthode de renormalisation de Varadhan. Séminaire de probabilités de Strasbourg, Volume 19 (1985) , pp. 314-331. http://www.numdam.org/item/SPS_1985__19__314_0/

[1 ] Edwards, S.F. : The statistical mechanics of polymers with excluded volume. Proc. Phys. Sci. 85, 613-624 (1965). | MR 183442 | Zbl 0125.23205

[2 ] Geman, D., Horowitz, J., Rosen, J. : The local time of intersections for Brownian paths in the plane. Ann. Prob. 12, 86-107 (1984). | MR 723731 | Zbl 0536.60046

[3 ] Ikeda, N., Watanabe, S. : Stochastic differential equations and diffusion processes. North Holland mathematical library. Kodansha (1981). | MR 637061 | Zbl 0495.60005

[4] Le Gall, J.F. : Sur la saucisse de Wiener et les points multiples du mouvement brownien. Preprint (novembre 1984).

[5] Rosen, J. : A local time approach to the self intersections of Brownian paths in the plane. Commun. Math. Phys. 88, 327-338 (1983). | MR 701921 | Zbl 0534.60070

[6] Rosen, J. : Tanaka's formula and renormalisation for intersections of planar Brownian motion. Preprint University of Massachusetts (1984).

[7] Spitzer, F. : Electrostatic capacity, heat flow, and Brownian motion. Z. Wahrsch. Verw. Gebiete 3, 110-121 (1964). | MR 172343 | Zbl 0126.33505

[8] Symanzik, K. : Euclidean quantum field theory. In : Local Quantum Theory. Jost, R. (ed.) New-York : Academic Press (1969).

[9] Varadhan, S.R.S. : Appendix to Euclidean quantum field theory. By K. Symanzik, in : Local Quantum Theory. Jost, R. (ed.) New-York : Academic Press (1969).

[10] Westwater, J. : On Edwards' model for long polymer chains. Commun. Math. Phys. 72, 131-174 (1980). | MR 573702 | Zbl 0431.60100

[11] Wolpert, R. : Wiener path intersections and local time. J. Funct. Anal. 30, 329-340 (1978). | MR 518339 | Zbl 0403.60069