Asymptotic Density in a Coalescing Random Walk Model

@inproceedings{Berg1998AsymptoticDI,
  title={Asymptotic Density in a Coalescing Random Walk Model},
  author={Jacob van den Berg},
  year={1998}
}
We consider a system of particles, each of which performs a continuous time random walk on Z. The particles interact only at times when a particle jumps to a site at which there are a number of other particles present. If there are j particles present, then the particle which just jumped is removed from the system with probability pj . We show that if pj is increasing in j and if the dimension d is at least 6 and if we start with one particle at each site of Z, then p(t) := P{there is at least… CONTINUE READING

From This Paper

Topics from this paper.
8 Citations
4 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-4 of 4 references

Asymptotics for interacting particles systems on Z, Z

  • M. Bramson, D. Griffeath
  • Processes and their Applications, held in…
  • 1998
Highly Influential
7 Excerpts

Limiting point processes for rescalings of coalescing and annihilating random

  • R. Arratia
  • 1981
Highly Influential
11 Excerpts

Probability and Measure, 2 edition

  • P. Billingsley
  • 1986
Highly Influential
2 Excerpts

Probability and Potentials

  • T M.
  • diffusion-limited reaction, J. Stat. Physics
  • 1985
Highly Influential
2 Excerpts

Similar Papers

Loading similar papers…