## Random walk loop soup

*Lawler, Gregory F.*;

*Ferreras, José A. Trujillo*;

- Subject: Mathematics - Probabilityarxiv: Mathematics::Probability

The Brownian loop soup introduced in Lawler and Werner (2004) is a Poissonian realization from a sigma-finite measure on unrooted loops. This measure satisfies both conformal invariance and a restriction property. In this paper, we define a random walk loop soup and sho... View more

- References (3)
[1] R. Bass (1995). Probabilistic Techniques in Analysis, Springer-Verlag.

[2] J. Koml´os, P. Major, and G. Tusn´ady (1975). An approximation of partial sums of independent RV's and the sample DF. I., Z. Wahr. 32, 111-131.

[3] G. Lawler and W. Werner (2004). The Brownian loop soup, Prob. Theor. Rel. Fields 128, 565-588.

- Metrics No metrics available

Share - Bookmark

- Download from

- Cite this publication