Generalized disconnection exponents

DOI10.1007/s00440-020-01005-5zbMath1478.60226arXiv1901.05436OpenAlexW3091088073MaRDI QIDQ2660386

Wei Qian

Publication date: 30 March 2021

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

Full work available at URL: https://arxiv.org/abs/1901.05436

zbMATH Keywords

Brownian loop-soupconformal restriction measuredisconnection and intersection exponentshypergeometric SLE

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Brownian motion (60J65) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Cites Work

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• From CLE(\(\kappa\)) to SLE(\(\kappa,\rho\))'s
• Reversibility of some chordal \(SLE(\kappa ;\rho )\) traces
• Multiple Schramm-Loewner evolutions and statistical mechanics martingales
• The dimension of the SLE curves
• Reversibility of chordal SLE
• Duality of chordal SLE
• The Hausdorff dimension of the double points on the Brownian frontier
• Partition functions, loop measure, and versions of SLE
• The Brownian loop soup
• Intersection exponents for planar Brownian motion
• Scaling limits of loop-erased random walks and uniform spanning trees
• Universality for conformally invariant intersection exponents.
• Values of Brownian intersection exponents. III: Two-sided exponents
• Conformal restriction: the trichordal case
• The law of a point process of Brownian excursions in a domain is determined by the law of its trace
• Conditioning a Brownian loop-soup cluster on a portion of its boundary
• Analyticity of intersection exponents for planar Brownian motion
• A percolation formula
• Girsanov's transformation for \(\text{SLE}(\kappa,\rho)\) processes, intersection exponents and hiding exponents.
• The dimension of the frontier of planar Brownian motion
• No triple point of planar Brownian motion is accessible
• Conformal loop ensembles: the Markovian characterization and the loop-soup construction
• Hypergeometric SLE: conformal Markov characterization and applications
• Decomposition of Brownian loop-soup clusters
• \(\text{SLE}(\kappa,\rho)\) martingales and duality
• Conformal restriction: the radial case
• SLE coordinate changes
• Eigenvalue expansions for diffusion hitting times
• Course 3 Conformal random geometry
• Duality of Schramm-Loewner evolutions
• Conformal restriction: The chordal case
• On the Spatial Markov Property of Soups of Unoriented and Oriented Loops
• Commutation relations for Schramm‐Loewner evolutions
• Multiple points for the sample paths of the symmetric stable process
• Values of Brownian intersection exponents. I: Half-plane exponents
• Values of Brownian intersection exponents. II: Plane exponents

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