Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line

DOI10.2969/jmsj/06741631zbMath1362.60069OpenAlexW2210343391MaRDI QIDQ904202

Gregory F. Lawler

Publication date: 12 January 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1445951160

zbMATH Keywords

Hausdorff dimensionMinkowski contentSchramm-Loewner evolution

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (18)

A dimension spectrum for SLE boundary collisions ⋮ SLE boundary visits ⋮ Boundary Green's functions and Minkowski content measure of multi-force-point SLE\(_\kappa (\underline{\rho})\) ⋮ Green's functions for chordal SLE curves ⋮ SLE loop measures ⋮ The Minkowski content measure for the Liouville quantum gravity metric ⋮ Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE) ⋮ Large deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of Laplacians ⋮ A multifractal boundary spectrum for \(\text{SLE}_\kappa(\rho)\) ⋮ Two-curve Green's function for 2-SLE: the interior case ⋮ On the smoothness of the partition function for multiple Schramm-Loewner evolutions ⋮ Decomposition of Schramm-Loewner evolution along its curve ⋮ Critical first-passage percolation starting on the boundary ⋮ Alternating arm exponents for the critical planar Ising model ⋮ Two-curve Green's function for 2-SLE: the boundary case ⋮ N-sided radial Schramm-Loewner evolution ⋮ Minkowski content of Brownian cut points ⋮ Schramm's formula and the Green's function for multiple SLE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-point Green's functions for SLE and an estimate of Beffara
• SLE curves and natural parametrization
• Intersections of SLE paths: the double and cut point dimension of SLE
• The covariant measure of SLE on the boundary
• A natural parametrization for the Schramm-Loewner evolution
• Hausdorff measure of SLE curves
• Boundary proximity of SLE
• The dimension of the SLE curves
• Intersection probabilities for a chordal SLE path and a semicircle
• Hausdorff dimension of the SLE curve intersected with the real line
• Scaling limits of loop-erased random walks and uniform spanning trees
• Continuity of the SLE trace in simply connected domains
• Diffusion processes and their sample paths.
• Almost sure multifractal spectrum for the tip of an SLE curve
• Minkowski content and natural parameterization for the Schramm-Loewner evolution
• Basic properties of SLE
• Escape probability and transience for SLE
• Continuity of Radial and Two-Sided Radial 𝑆𝐿𝐸 at the Terminal Point
• Conformal restriction: The chordal case

This page was built for publication: Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line