Functionals associated with self-intersections of the planar brownian motion
Séminaire de probabilités, 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},
     pages = {553--571},
     year = {1986},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {20},
     mrnumber = {942044},
     zbl = {0617.60080},
     language = {en},
     url = {https://www.numdam.org/item/SPS_1986__20__553_0/}
}
TY  - JOUR
AU  - Dynkin, E. B.
TI  - Functionals associated with self-intersections of the planar brownian motion
JO  - Séminaire de probabilités
PY  - 1986
SP  - 553
EP  - 571
VL  - 20
PB  - Springer - Lecture Notes in Mathematics
UR  - https://www.numdam.org/item/SPS_1986__20__553_0/
LA  - en
ID  - SPS_1986__20__553_0
ER  - 
%0 Journal Article
%A Dynkin, E. B.
%T Functionals associated with self-intersections of the planar brownian motion
%J Séminaire de probabilités
%D 1986
%P 553-571
%V 20
%I Springer - Lecture Notes in Mathematics
%U https://www.numdam.org/item/SPS_1986__20__553_0/
%G en
%F SPS_1986__20__553_0
Dynkin, E. B. Functionals associated with self-intersections of the planar brownian motion. Séminaire de probabilités, Tome 20 (1986), pp. 553-571. https://www.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. | Zbl | MR

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

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

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

[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. | Zbl | MR | Numdam

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

[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. | Zbl | Numdam

[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. | Zbl | MR | Numdam

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

[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.