The covariant measure of SLE on the boundary

DOI10.1007/s00440-009-0252-4zbMath1244.60081arXiv0810.0940OpenAlexW3101760604MaRDI QIDQ639867

Scott Sheffield, Tom Alberts

Publication date: 11 October 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0940

zbMATH Keywords

Hausdorff dimensionstochastic Loewner evolutionhitting probabilityMinkowski measure

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (9)

A dimension spectrum for SLE boundary collisions ⋮ SLE boundary visits ⋮ Boundary Green's functions and Minkowski content measure of multi-force-point SLE\(_\kappa (\underline{\rho})\) ⋮ SLE loop measures ⋮ Law of the absorption time of some positive self-similar Markov processes ⋮ The Minkowski content measure for the Liouville quantum gravity metric ⋮ Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line ⋮ A natural parametrization for the Schramm-Loewner evolution ⋮ Decomposition of Schramm-Loewner evolution along its curve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary proximity of SLE
• Hausdorff dimension of the SLE curve intersected with the real line
• Scaling limits of loop-erased random walks and uniform spanning trees
• SLE and triangles
• Girsanov's transformation for \(\text{SLE}(\kappa,\rho)\) processes, intersection exponents and hiding exponents.
• Basic properties of SLE
• Exponential functionals of Brownian motion and related processes

This page was built for publication: The covariant measure of SLE on the boundary