Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains

DOI10.1090/tran/6441zbMath1374.60123OpenAlexW1847891193MaRDI QIDQ2790616

Masatoshi Fukushima, Steffen Rohde, Zhen-Qing Chen

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/6441

zbMATH Keywords

Green functionmultiply connected domainBrownian motion with darningcomplex Poisson kernelharmonic function with zero periodKomatsu-Loewner equation

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Conformal mappings of special domains (30C20)

Related Items

Stochastic Komatu-Loewner evolutions and SLEs, Markov processes with darning and their approximations, Stochastic Komatu-Loewner evolutions and BMD domain constant, Loewner chains and evolution families on parallel slit half-planes, A Komatu-Loewner equation for multiple slits, Komatu-Loewner differential equations, Brownian motion on some spaces with varying dimension, Conformal restriction of Brownian excursion with darning, Darning and gluing of diffusions, On the slit motion obeying chordal Komatu-Loewner equation with finite explosion time, Chordal Komatu-Loewner equation for a family of continuously growing hulls, Elliptic Bessel processes and elliptic Dyson models realized as temporally inhomogeneous processes, On the continuity of half-plane capacity with respect to Carathéodory convergence, Conformal field theory for annulus SLE: partition functions and martingale-observables

Cites Work

• Dirichlet forms and symmetric Markov processes
• On chordal and bilateral SLE in multiply connected domains
• On radial stochastic Loewner evolution in multiply connected domains
• The Laplacian-\(b\) random walk and the Schramm-Loewner evolution
• On conformal slit mapping of multiply-connected domains
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