A simple construction of Werner measure from chordal \(\mathrm{SLE}_{8/3}\)

zbMath1259.60011arXiv0902.1626MaRDI QIDQ1928885

Robert Otto Bauer

Publication date: 4 January 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1626

zbMATH Keywords

conformally invariant measureformula measure on loopsself-avoiding loops' Schramm's

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (1)

Conformal restriction measures on loops surrounding an interior point

Cites Work

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• The \(O(n)\) model on the annulus
• The expected area of the filled planar Brownian loop is \(\pi/5\)
• The Brownian loop soup
• A percolation formula
• On Malliavin measures, SLE, and CFT
• Basic properties of SLE
• Restricting SLE(8/3) to an annulus
• Conformal restriction: The chordal case
• The conformally invariant measure on self-avoiding loops

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