Dirichlet processes and an intrinsic characterization of renormalized intersection local times
Annales de l'I.H.P. Probabilités et statistiques, Volume 37 (2001) no. 4, p. 403-420
@article{AIHPB_2001__37_4_403_0,
     author = {Rosen, Jay},
     title = {Dirichlet processes and an intrinsic characterization of renormalized intersection local times},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     publisher = {Elsevier},
     volume = {37},
     number = {4},
     year = {2001},
     pages = {403-420},
     zbl = {0981.60072},
     mrnumber = {1876838},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_2001__37_4_403_0}
}
Rosen, Jay. Dirichlet processes and an intrinsic characterization of renormalized intersection local times. Annales de l'I.H.P. Probabilités et statistiques, Volume 37 (2001) no. 4, pp. 403-420. http://www.numdam.org/item/AIHPB_2001__37_4_403_0/

[1] R Bass, D Khoshnevisan, Intersection local times and Tanaka formulas, Ann. Inst. H. Poincaré Probab. Stat. 29 (1993) 419-452. | Numdam | MR 1246641 | Zbl 0798.60072

[2] J Bertoin, Applications des processes de Dirichlet aux temps locaux et temps locaux d'intersection d'un mouvement Brownien, Probab. Theory Related Fields 80 (1989) 433-460. | MR 976535 | Zbl 0638.60083

[3] R Blumenthal, R Getoor, Some theorems on stable proceses, Trans. Amer. Math. Soc. 95 (1960) 261-273. | MR 119247 | Zbl 0107.12401

[4] E.B Dynkin, Self-intersection gauge for random walks and for Brownian motion, Ann. Probab. 16 (1988) 1-57. | MR 920254 | Zbl 0638.60081

[5] P Fitzsimmons, T Salisbury, Capacity and energy for multiparameter Markov processes, Ann. Inst. H. Poincaré Probab. Stat. 25 (1989) 325-350. | Numdam | MR 1023955 | Zbl 0689.60071

[6] H Föllmer, Dirichlet processes, in: Proceedings Durham 1980 (Berlin), Lecture Notes Math., 851, Springer-Verlag, Berlin, 1981, pp. 476-478. | MR 621001 | Zbl 0462.60046

[7] J.-F Le Gall, Proprietes d'intersection des marches aleatoires, I, Comm. Math. Phys. 104 (1986) 471-507. | MR 840748 | Zbl 0609.60078

[8] J.-F Le Gall, Fluctuation results for the Wiener sausage, Ann. Probab. 16 (1988) 991-1018. | MR 942751 | Zbl 0665.60080

[9] J.-F Le Gall, Some properties of planar Brownian motion, Ecole d'ete de probabbilities de St. Flour XX, 1990 (Berlin), Lecture Notes in Mathematics, 1527, Springer-Verlag, Berlin, 1992. | MR 1229519 | Zbl 0779.60068

[10] J.-F Le Gall, J Rosen, The range of stable random walks, Ann. Probab. 19 (1991) 650-705. | MR 1106281 | Zbl 0729.60066

[11] M Marcus, J Rosen, Renormalized self-intersection local times and Wick power chaos processes, Mem. Amer. Math. Soc. 142 (675) (1999). | MR 1621400

[12] J Rosen, Joint continuity and a Doob-Meyer type decomposition for renormalized intersection local times, Ann. Inst. H. Poincaré Probab. Stat. 35 (1999) 143-176. | Numdam | MR 1678521 | Zbl 0922.60072

[13] J Rosen, Continuity and singularity of the intersection local time of stable processes in R2, Ann. Probab. 16 (1988) 75-79. | MR 920256 | Zbl 0644.60078

[14] J Rosen, The asymptotics of stable sausages in the plane, Ann. Probab. 20 (1992) 29-60. | MR 1143411 | Zbl 0748.60064

[15] J Rosen, Joint continuity of renormalized intersection local times, Ann. Inst. H. Poincaré Probab. Stat. 32 (1996) 671-700. | Numdam | MR 1422306 | Zbl 0867.60049

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