@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://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 de Strasbourg PY - 1986 SP - 553 EP - 571 VL - 20 PB - Springer - Lecture Notes in Mathematics UR - http://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 de Strasbourg %D 1986 %P 553-571 %V 20 %I Springer - Lecture Notes in Mathematics %U http://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 de Strasbourg, Tome 20 (1986), pp. 553-571. http://www.numdam.org/item/SPS_1986__20__553_0/
[D1] 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] Polynomials of the occupation field and related random fields,J.Funct.Anal. 58, 1 (1984),20-52. | MR | Zbl
,[D3] Random fields associated with multiple points of the Brownian motion,J. Funct. Anal. 62, 3 (1985). | MR | Zbl
,[D4] Self-intersection local times, occupation fields and stochastic integrals, Advances Appl. Math., to appear. | MR | Zbl
,[IM] Diffusion Processes and Their Sample Paths,Springer-Verlag, Berlin-Heidelberg-New York,1965 | Zbl
and ,[L1] 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] Tanaka's formula and renormalization for intersections of planar Brownian motion,Ann. Probability, to appear. | MR | Zbl
,[R2] Tanaka's formula for multiple intersections of planar Brownian motion, Preprint,1984 | MR
,[R3] A renormalized local time for multiple intersections of planar Brownian motion, this volume. | Numdam | Zbl
,[V] Appendix to Euclidean quantum field theory, by K. Symanzik, in: Local Quantum Theory, R. Jost, Ed., Academic Press, New York-London,1969.
,[W] A Treatise on the Theory of Bessel Functions, 2nd ed.,Cambridge Univ.Press, Cambridge,1952.
,[Y1] 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] Sur la représentation comme intégrales stochastiques des temps d'occupation du movement Brownien dans Rd, this volume. | Numdam | Zbl
,[Y3] Renormalisation et convergence en loi pour les temps locaux d'intersection du mouvement Brownien dans R2, Preprint 1985.
,[Y4] Renormalization results for some triple integrals of two-dimensional Brownian motion, Preprint 1985.
,