Convergence of the two-dimensional random walk loop-soup clusters to CLE
Titus Lupu
Sorbonne Université, Paris, France
![Convergence of the two-dimensional random walk loop-soup clusters to CLE cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-21-issue-4.png&w=3840&q=90)
Abstract
We consider the random walk loop-soup of subcritical intensity parameter on the discrete half-plane . We look at the clusters of discrete loops and show that the scaling limit of the outer boundaries of outermost clusters is a CLE conformal loop ensemble.
Cite this article
Titus Lupu, Convergence of the two-dimensional random walk loop-soup clusters to CLE. J. Eur. Math. Soc. 21 (2019), no. 4, pp. 1201–1227
DOI 10.4171/JEMS/859