The Brownian net

@inproceedings{Sun2006TheBN,
  title={The Brownian net},
  author={Rongfeng Sun and Jan M. Swart},
  year={2006}
}
The (standard) Brownian web is a collection of coalescing one-dimensional Brownian motions, starting from each point in space and time. It arises as the diffusive scaling limit of a collection of coalescing random walks. We show that it is possible to obtain a nontrivial limiting object if the random walks in addition branch with a small probability. We call the limiting object the Brownian net, and study some of its elementary properties. MSC 2000. Primary: 82C21 ; Secondary: 60K35, 60F17… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 14 references

The Brownian web.

Proceedings of the National Academy of Sciences of the United States of America • 2002

Reflection and coalescence between onedimensional Brownian paths

F. Soucaliuc, B. Tóth, W. Werner
Ann. Inst. Henri Poincar Probab. Statist • 2000

Convergence of probability measures, 2nd edition

P. Billingsley
1999

Hunting submartingales in the jumping voter model and the biased annihilating branching process

A. Sudbury
Adv. Appl. Probab • 1999

The true self-repelling motion

B. Tóth, W. Werner
Probab. Theory Related Fields 111, • 1998

Brownian Motion and Stochastic Calculus

I. Karatzas, S. E. Shreve
1991

Similar Papers

Loading similar papers…