Functionals associated with self-intersections of the planar brownian motion
Séminaire de probabilités de Strasbourg, Tome 20 (1986), pp. 553-571. 
@article{SPS_1986__20__553_0,
     author = {Dynkin, E. B.},
     title = {Functionals associated with self-intersections of the planar brownian motion},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {553--571},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {20},
     year = {1986},
     mrnumber = {942044},
     zbl = {0617.60080},
     language = {en},
     url = {http://archive.numdam.org/item/SPS_1986__20__553_0/}
}
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Dynkin, E. B. Functionals associated with self-intersections of the planar brownian motion. Séminaire de probabilités de Strasbourg, Tome 20 (1986), pp. 553-571. http://archive.numdam.org/item/SPS_1986__20__553_0/

[D1] E.B. Dynkin,Local times and quantum fields,Seminar on Stochastic Processes, 1983, E. Cinlar, K.L. Chung, R.K. Getoor, Birkhäuser, Boston-Basel-Stuttgart,1984. | MR | Zbl

[D2] E.B. Dynkin,Polynomials of the occupation field and related random fields,J.Funct.Anal. 58, 1 (1984),20-52. | MR | Zbl

[D3] E.B. Dynkin,Random fields associated with multiple points of the Brownian motion,J. Funct. Anal. 62, 3 (1985). | MR | Zbl

[D4] E.B. Dynkin,Self-intersection local times, occupation fields and stochastic integrals, Advances Appl. Math., to appear. | MR | Zbl

[IM] K. Itô and H.P. Mckean, Jr.,Diffusion Processes and Their Sample Paths,Springer-Verlag, Berlin-Heidelberg-New York,1965 | Zbl

[L1] 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, 1983/84, J. Azéma, M. Yor,Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1985,314-331. | Numdam | MR | Zbl

[R1] J. Rosen,Tanaka's formula and renormalization for intersections of planar Brownian motion,Ann. Probability, to appear. | MR | Zbl

[R2] J. Rosen,Tanaka's formula for multiple intersections of planar Brownian motion, Preprint,1984 | MR

[R3] J. Rosen,A renormalized local time for multiple intersections of planar Brownian motion, this volume. | Numdam | Zbl

[V] S.R.S. Varadhan,Appendix to Euclidean quantum field theory, by K. Symanzik, in: Local Quantum Theory, R. Jost, Ed., Academic Press, New York-London,1969.

[W] G.N. Watson,A Treatise on the Theory of Bessel Functions, 2nd ed.,Cambridge Univ.Press, Cambridge,1952.

[Y1] M. Yor,Compléments aux formules de Tanaka-Rosen, Séminaire de Probabilités XIX, 1983/84, J. Azéma, M. Yor, Eds.,Springer-Verlag, Berlin-Heidelberg- New York-Tokyo,1985,332-349. | Numdam | MR | Zbl

[Y2] M. Yor,Sur la représentation comme intégrales stochastiques des temps d'occupation du movement Brownien dans Rd, this volume. | Numdam | Zbl

[Y3] M. Yor,Renormalisation et convergence en loi pour les temps locaux d'intersection du mouvement Brownien dans R2, Preprint 1985.

[Y4] M. Yor,Renormalization results for some triple integrals of two-dimensional Brownian motion, Preprint 1985.