Necessary and sufficient conditions for finiteness of lifetime

DOI10.1007/BF00275518zbMath0858.60069OpenAlexW2033409886MaRDI QIDQ1924470

Robert G. Smits

Publication date: 23 March 1997

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00275518

zbMATH Keywords

quasihyperbolic metricpositive harmonic functionsconditioned Brownian motionexpected lifetime

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45)

Related Items (1)

Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations

Cites Work

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• Uniform domains and the quasi-hyperbolic metric
• Distortion of area and conditioned Brownian motion
• Conditioned Brownian motion in simply connected planar domains
• The lifetime of conditioned Brownian motion in planar domains of infinite area
• Quasihyperbolic geodesics in John domains.
• Quasiconformal and Bi-Lipschitz Homeomorphisms, Uniform Domains and the Quasihyperbolic Metric
• The lifetime of conditioned Brownian motion

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