Counting planar random walk holes

DOI10.1214/009117907000000204zbMath1151.60020arXivmath/0611144OpenAlexW2138820595MaRDI QIDQ2468422

Christian Beneš

Publication date: 22 January 2008

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611144

zbMATH Keywords

Brownian motionRandom walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Sample path properties (60G17)

Related Items (3)

Convergence rates for loop-erased random walk and other Loewner curves ⋮ A local limit theorem and loss of rotational symmetry of planar symmetric simple random walk ⋮ How round are the complementary components of planar Brownian motion?

Cites Work

• The disconnection exponent for simple random walk
• Analyticity of intersection exponents for planar Brownian motion
• The dimension of the frontier of planar Brownian motion
• The Intersection Exponent for Simple Random Walk
• On the asymptotic number of small components created by planar brownian motion
• Values of Brownian intersection exponents. I: Half-plane exponents
• Values of Brownian intersection exponents. II: Plane exponents
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