The disconnection exponent for simple random walk

DOI10.1007/BF02760678zbMath0958.60048MaRDI QIDQ1366856

Gregory F. Lawler, Emily E. Puckette

Publication date: 17 September 1997

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

zbMATH Keywords

Brownian motiondisconnection exponent

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65)

Related Items

Conformal restriction and Brownian motion ⋮ The infinite two-sided loop-erased random walk ⋮ Convergence rates for loop-erased random walk and other Loewner curves ⋮ Counting planar random walk holes ⋮ A local limit theorem and loss of rotational symmetry of planar symmetric simple random walk

Cites Work

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• On the critical exponent for random walk intersections
• Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle
• On Brownian disconnection exponents
• Bounds for disconnection exponents
• An extension of a result of Burdzy and Lawler
• Nonintersection exponents for Brownian paths. II: Estimates and applications to a random fractal
• An approximation of partial sums of independent RV's, and the sample DF. II