Cadlag curves of SLE driven by Levy processes

2007/05/16 by Qingyang Guan, Qing-Yang Guan, Guan, Qingyang
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #60D05 (Primary) #60G52 (Secondary) #60H10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60D05 #msc:60G52 #msc:60H10

paper · pdf · doi:10.48550/arxiv.0705.2321

18 page, corrections

openalex publication_date 2007/05/16 · arxiv created 2008/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Schramm Loewner Evolutions (SLE) are random increasing hulls defined through the Loewner equation driven by Brownian motion. It is known that the increasing hulls are generated by continuous curves. When the driving process is of the form √κ B+θ^1/αS for a Brownian motion B and a symmetric α-stable process S with κnot equal to 4 and 8, we prove that the corresponding increasing hulls are generated by Cadlag curves.

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• Stochastic Loewner Evolution
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