Harmonic functions on Walsh's Brownian motion

DOI10.1016/J.SPA.2014.02.005zbMath1320.60138OpenAlexW173996936MaRDI QIDQ402410

Patrick J. Fitzsimmons, Kristin E. Kuter

Publication date: 28 August 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2014.02.005

zbMATH Keywords

superharmonic functionsharmonic functionsWalsh's Brownian motionexcessive functions

Mathematics Subject Classification ID

Brownian motion (60J65) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Stochastic processes (60G99)

Related Items (7)

Stochastic integral equations for Walsh semimartingales ⋮ Diffusion spiders: Green kernel, excessive functions and optimal stopping ⋮ Semimartingales on rays, Walsh diffusions, and related problems of control and stopping ⋮ One-point reflection ⋮ Embedding of Walsh Brownian motion ⋮ Stationary distributions and convergence for Walsh diffusions ⋮ Harmonic functions of Brownian motions on metric graphs

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