Reflection and coalescence between independent one-dimensional brownian paths

Florin Soucaliuc; Bálint Tóth; Wendelin Werner

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 4, page 509-545
  • ISSN: 0246-0203

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Soucaliuc, Florin, Tóth, Bálint, and Werner, Wendelin. "Reflection and coalescence between independent one-dimensional brownian paths." Annales de l'I.H.P. Probabilités et statistiques 36.4 (2000): 509-545. <http://eudml.org/doc/77670>.

@article{Soucaliuc2000,
author = {Soucaliuc, Florin, Tóth, Bálint, Werner, Wendelin},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Brownian path; coalescing; reflecting},
language = {eng},
number = {4},
pages = {509-545},
publisher = {Gauthier-Villars},
title = {Reflection and coalescence between independent one-dimensional brownian paths},
url = {http://eudml.org/doc/77670},
volume = {36},
year = {2000},
}

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
PB - Gauthier-Villars
VL - 36
IS - 4
SP - 509
EP - 545
LA - eng
KW - Brownian path; coalescing; reflecting
UR - http://eudml.org/doc/77670
ER -

References

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  1. [1] Arratia R.A., Coalescing Brownian motions on the line, Ph.D. Thesis, University of Wisconsin, Madison, 1979. 
  2. [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. [3] Billingsley P., Convergence of Probability Measures, Wiley, New York, 1979. Zbl0172.21201MR1700749
  4. [4] Harris T., Coalescing and noncoalescing stochastic flows in R, Stoch. Proc. Appl.17 (1984) 187-210. Zbl0536.60016MR751202
  5. [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. Zbl0779.60068MR1229519
  6. [6] Revuz D., Yor M., Continuous Martingales and Brownian Motion, Springer, Berlin, 1991. Zbl0731.60002MR1083357
  7. [7] Tóth B., The 'true' self-avoiding walk with bond repulsion on Z: limit theorems, Ann. Probab.23 (1995) 1523-1556. Zbl0852.60083MR1379158
  8. [8] Tóth B., Werner W., The true self-repelling motion, Probab. Theory Related Fields111 (1997) 375-452. Zbl0912.60056MR1640799
  9. [9] Tsirelson B., Brownian coalescence as a black noise, 1998, draft. 
  10. [10] Tsirelson B., Within and beyond the reach of Brownian innovation, in: Proc. Intern. Congress Math. (Berlin), Vol. 3, 1998, pp. 311-320. Zbl0907.60053MR1648165

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