On the continuity of half-plane capacity with respect to Carathéodory convergence

DOI10.1007/978-981-19-4672-1_20zbMath1502.30078arXiv2106.12717OpenAlexW3177084357MaRDI QIDQ2088482

Takuya Murayama

Publication date: 22 October 2022

Full work available at URL: https://arxiv.org/abs/2106.12717

zbMATH Keywords

Brownian motionharmonic measurehalf-plane capacity

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Capacity and harmonic measure in the complex plane (30C85)

Cites Work

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• Geometric interpretation of half-plane capacity
• Stochastic Komatu-Loewner evolutions and BMD domain constant
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• Chordal Komatu-Loewner equation for a family of continuously growing hulls
• Stochastic Komatu-Loewner evolutions and SLEs
• The Laplacian-\(b\) random walk and the Schramm-Loewner evolution
• Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains
• Ahlfors-Beurling conformal invariant and relative capacity of compact sets
• Convergence properties of harmonic measure distributions for planar domains
• Real Analysis and Probability
• Half-plane capacity and conformal radius
• Monotone increment processes, classical Markov processes, and Loewner chains

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