The harmonic explorer and its convergence to SLE(4)

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dc.creatorSchramm, Oded
dc.creatorSheffield, Scott
dc.date2003-10-15
dc.date2006-02-09
dc.date.accessioned2026-07-07T10:38:18Z
dc.date.available2026-07-07T10:38:18Z
dc.descriptionThe harmonic explorer is a random grid path. Very roughly, at each step the harmonic explorer takes a turn to the right with probability equal to the discrete harmonic measure of the left-hand side of the path from a point near the end of the current path. We prove that the harmonic explorer converges to SLE(4) as the grid gets finer.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117905000000477 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0310210
dc.identifierhttp://arxiv.org/abs/math/0310210
dc.identifierAnnalsProbab.33:2127-2148,2005
dc.identifierdoi:10.1214/009117905000000477
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180676
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subject60D05 (Primary) 82B43 (Secondary)
dc.titleThe harmonic explorer and its convergence to SLE(4)
dc.typetext

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