A Dimension Spectrum for SLE Boundary Collisions
2016 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 343, no 1, 273-298 p.Article in journal (Refereed) PublishedText
We consider chordal SLE curves for , where the intersection of the curve with the boundary is a random fractal of almost sure Hausdorff dimension . We study the random sets of points at which the curve collides with the real line at a specified "angle" and compute an almost sure dimension spectrum describing the metric size of these sets. We work with the forward SLE flow and a key tool in the analysis is Girsanov's theorem, which is used to study events on which moments concentrate. The two-point correlation estimates are proved using the direct method.
Place, publisher, year, edition, pages
Springer-Verlag New York, 2016. Vol. 343, no 1, 273-298 p.
Physical Sciences Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-185344DOI: 10.1007/s00220-016-2587-xISI: 000372605100008ScopusID: 2-s2.0-84958779520OAI: oai:DiVA.org:kth-185344DiVA: diva2:921477
FunderKnut and Alice Wallenberg FoundationSwedish Research Council
QC 201604202016-04-202016-04-182016-04-20Bibliographically approved