Ballistic Deposition on a Planar Strip

Rami Atar (Technion - Israel Institute of Technology)
Siva Athreya (University of British Columbia)
Min Kang (Northwestern University)

Abstract


We consider ballistic diffusion limited aggregation on a finite strip $[0, L-1]$ times $\mathbb{Z}_+$ in $\mathbb{Z}^2$ for some $L$ in $\mathbb{Z}_+$. We provide numerical bounds on the growth in the height process.

Full Text: Download PDF | View PDF online (requires PDF plugin)

Pages: 31-38

Publication Date: February 14, 2001

DOI: 10.1214/ECP.v6-1032

References

  1. M. Barlow, Fractals and diffusion-limited aggregation, Bull. Sc. Math, 117:161-169,1993. Math Review 94b:60016
  2. M. Barlow, R. Pemantle and E. Perkins, Diffusion-limited aggregation on a tree, Probability Theory and Related Fields, 107:1-60, 1997. Math Review 97m:60146
  3. M. Bramson, D. Griffeath, and G. Lawler, and Internal diffusion limited aggregation. The Annals of Probability, 20:2117-2140,1992. Math Review 94a:60105
  4. D. Eberz, Ph.D. thesis, University of Washington, 1999.
  5. H. Kesten, How long are the arms in DLA.?, J. Phys. A, 20:L29-L33,1987. Math Review 87m:82013
  6. M. Penrose and J. Yukich, Limit theory for random sequential packing and deposition, preprint.
  7. A. Shiryaev, Probability, Graduate texts, Springer-Verlag, Newyork 1995. Math Review 85a:60007
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.