Reflection and coalescence between independent one-dimensional brownian paths
Annales de l'I.H.P. Probabilités et statistiques, Volume 36 (2000) no. 4, pp. 509-545.
@article{AIHPB_2000__36_4_509_0,
     author = {Soucaliuc, Florin and T\'oth, B\'alint and Werner, Wendelin},
     title = {Reflection and coalescence between independent one-dimensional brownian paths},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {509--545},
     publisher = {Gauthier-Villars},
     volume = {36},
     number = {4},
     year = {2000},
     zbl = {0968.60072},
     mrnumber = {1785393},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_2000__36_4_509_0/}
}
TY  - JOUR
AU  - Soucaliuc, Florin
AU  - Tóth, Bálint
AU  - Werner, Wendelin
TI  - Reflection and coalescence between independent one-dimensional brownian paths
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2000
DA  - 2000///
SP  - 509
EP  - 545
VL  - 36
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_2000__36_4_509_0/
UR  - https://zbmath.org/?q=an%3A0968.60072
UR  - https://www.ams.org/mathscinet-getitem?mr=1785393
LA  - en
ID  - AIHPB_2000__36_4_509_0
ER  - 
%0 Journal Article
%A Soucaliuc, Florin
%A Tóth, Bálint
%A Werner, Wendelin
%T Reflection and coalescence between independent one-dimensional brownian paths
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2000
%P 509-545
%V 36
%N 4
%I Gauthier-Villars
%G en
%F AIHPB_2000__36_4_509_0
Soucaliuc, Florin; Tóth, Bálint; Werner, Wendelin. Reflection and coalescence between independent one-dimensional brownian paths. Annales de l'I.H.P. Probabilités et statistiques, Volume 36 (2000) no. 4, pp. 509-545. http://archive.numdam.org/item/AIHPB_2000__36_4_509_0/

[1] Arratia R.A., Coalescing Brownian motions on the line, Ph.D. Thesis, University of Wisconsin, Madison, 1979.

[2] Arratia R.A., Coalescing Brownian motions on R and the voter model on Z, 1979, Incomplete manuscript; 32 pages, available on request from R. Arratia: rarratia@ math.usc.edu.

[3] Billingsley P., Convergence of Probability Measures, Wiley, New York, 1979. | MR | Zbl

[4] Harris T., Coalescing and noncoalescing stochastic flows in R, Stoch. Proc. Appl. 17 (1984) 187-210. | MR | Zbl

[5] Le Gall J.F., Some properties of planar Brownian motion, Cours de l'Ecole d'été de Probabilités de Saint-Flour 1990, Lect. Notes in Math., Vol. 1527, Springer, 1992. | MR | Zbl

[6] Revuz D., Yor M., Continuous Martingales and Brownian Motion, Springer, Berlin, 1991. | MR | Zbl

[7] Tóth B., The 'true' self-avoiding walk with bond repulsion on Z: limit theorems, Ann. Probab. 23 (1995) 1523-1556. | MR | Zbl

[8] Tóth B., Werner W., The true self-repelling motion, Probab. Theory Related Fields 111 (1997) 375-452. | MR | Zbl

[9] Tsirelson B., Brownian coalescence as a black noise, 1998, draft.

[10] Tsirelson B., Within and beyond the reach of Brownian innovation, in: Proc. Intern. Congress Math. (Berlin), Vol. 3, 1998, pp. 311-320. | EuDML | MR | Zbl