How round are the complementary components of planar Brownian motion?

DOI10.1214/18-AIHP902zbMath1466.60075arXiv1609.06627OpenAlexW2962691829MaRDI QIDQ2320387

Şerban Nacu, Nina Holden, Thomas S. Salisbury, Yuval Peres

Publication date: 22 August 2019

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06627

zbMATH Keywords

planar Brownian motioncomplementary components of planar Brownian motion

Mathematics Subject Classification ID

Sample path properties (60G17) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Cites Work

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• Extremal geometry of a Brownian porous medium
• On an upper bound of the Euler characteristic of the Wiener sausage
• On the shape of the connected component of the complement of the plane Brownian path
• Geometric exponents and Kleinian groups
• Counting planar random walk holes
• On the asymptotic number of small components created by planar brownian motion
• The lifetime of conditioned Brownian motion
• Beurling's projection theorem via one-dimensional Brownian motion
• Statistical properties of the set of sites visited by the two-dimensional random walk
• The dimension of the planar Brownian frontier is \(4/3\)

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