Home | Contents | Submissions, editors, etc. | Login | Search | EJP
 Electronic Communications in Probability > Vol. 5 (2000) > Paper 7 open journal systems 


A Large Wiener Sausage from Crumbs.

Omer Angel, Weizmann Institute of Science
Itai Benjamini, Weizmann Institute of Science
Yuval Peres, University of California, Berkeley


Abstract
Let $B(t)$ denote Brownian motion in $R^d$. It is a classical fact that for any Borel set $A$ in $R^d$, the volume $V_1(A)$ of the Wiener sausage $B[0,1]+A$ has nonzero expectation iff $A$ is nonpolar. We show that for any nonpolar $A$, the random variable $V_1(A)$ is unbounded.


Full text: PDF

Pages: 67-71

Published on: April 24, 2000


Bibliography
  1. I. Benjamini, R. Pemantle and Y. Peres (1995), Martin capacity for Markov chains. Ann. Probab. 23, 1332-1346. Math. Review 99g:60098
  2. K. Ito and H. P. McKean (1974), Diffusion Processes and Their Sample Paths, Second printing. Springer-Verlag. Math. Review 49 #9963
  3. F. Spitzer (1964), Electrostatic capacity, heat flow, and Brownian motion. Z. Wahrschein. Verw. Gebiete 3, 110--121. Math. Review 30 #2562
  4. A. S. Sznitman (1998), Brownian motion, Obstacles and Random Media. Springer Monographs in Mathematics. Springer-Verlag, Berlin. Math. Review 1 717 054
















Research
Support Tool
Capture Cite
View Metadata
Printer Friendly
Context
Author Address
Action
Email Author
Email Others


Home | Contents | Submissions, editors, etc. | Login | Search | EJP

Electronic Communications in Probability. ISSN: 1083-589X