Random walk loop soup

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dc.creatorLawler, Gregory F.
dc.creatorFerreras, José A. Trujillo
dc.date2004-09-16
dc.date.accessioned2026-07-07T05:12:13Z
dc.date.available2026-07-07T05:12:13Z
dc.descriptionThe 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 show that it converges to the Brownian loop soup. In fact, we give a strong approximation result making use of the strong approximation result of Komlós, Major, and Tusnády. To make the paper self-contained, we include a proof of the approximation result that we need.
dc.identifierhttps://arxiv.org/abs/math/0409291
dc.identifierhttp://arxiv.org/abs/math/0409291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72503
dc.subjectProbability
dc.titleRandom walk loop soup
dc.typetext

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