Exponential moments for the renormalized self-intersection local time of planar brownian motion
Séminaire de probabilités de Strasbourg, Volume 28 (1994), p. 172-180
@article{SPS_1994__28__172_0,
     author = {Le Gall, Jean-Fran\c cois},
     title = {Exponential moments for the renormalized self-intersection local time of planar brownian motion},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {28},
     year = {1994},
     pages = {172-180},
     zbl = {0810.60078},
     mrnumber = {1329112},
     language = {fr},
     url = {http://www.numdam.org/item/SPS_1994__28__172_0}
}
Le Gall, Jean-François. Exponential moments for the renormalized self-intersection local time of planar brownian motion. Séminaire de probabilités de Strasbourg, Volume 28 (1994) pp. 172-180. http://www.numdam.org/item/SPS_1994__28__172_0/

[1] E. Bolthausen : Localization of a two-dimensional random walk with an attractive path interaction. Ann. Probab. to appear. | MR 1288136 | Zbl 0819.60028

[2] A.N. Borodin : On the character of convergence to Brownian local time, II. Proba. Th. Rel. Fields 72, p. 251-277 (1986). | MR 836277 | Zbl 0572.60079

[3] D. Geman, J. Horowitz and J. Rosen : A local time analysis of intersections of Brownian paths in the plane. Ann. Probab. 12, p. 86-107 (1984). | MR 723731 | Zbl 0536.60046

[4] J.-F. Le Gall : Sur le temps local d'intersection du mouvement brownien plan et la méthode de renormalisation de Varadhan. Séminaire de Probabilités XIX. Lecture Notes in Maths 1123, p. 314-331. Springer (1985). | Numdam | MR 889492 | Zbl 0563.60072

[5] J.-F. Le Gall : Propriétés d'intersection des marches aléatoires, I. Comm. Math. Physics 104, p. 467-503 (1986).

[6] J. Rosen : Self-intersections of random fields. Ann. Probab.12, p. 108-119 (1984). | MR 723732 | Zbl 0536.60066

[7] S.R.S. Varadhan : Appendix to : Euclidean quantum field theory, by K.Symanzik. In : Local Quantum Theory, R. Jost ed. Academic Press (1969).

[8] M. Yor : Compléments aux formules de Tanaka-Rosen. Séminaire de Probabilités XIX. Lecture Notes in Maths. 1123, p. 332-349. Springer (1985). | Numdam | MR 889493 | Zbl 0563.60073

[9] M. Yor : Remarques sur l'intégrabilité du temps local d'intersection renormalisé. Unpublished manuscript.