Year: 2011
Type: article
Abstract: We prove an upper bound on the optimal Hölder exponent for the chordal SLE path parameterized by capacity and thereby establish the optimal exponent as conjectured by Lind. We also give a new proof of the lower bound. Our proofs are based on sharp estimates of moments of the derivative of the inverse map. In particular, we improve an estimate of the second author.
Source: Duke Mathematical Journal
Authors: Gregory F. Lawler, Fredrik Johansson Viklund
Institutions: University of Chicago, Columbia University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2096590066