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Snakes and spiders: Brownian motion on \(\mathbb{R}\)-trees

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Publication:1579892
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DOI10.1007/s004400000052zbMath0959.60070MaRDI QIDQ1579892

Steven N. Evans

Publication date: 26 April 2001

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

treediffusionMartin boundaryDirichlet formlocal timeentrance boundarysemimartingale decompositionRay-Knight compactification


Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Transition functions, generators and resolvents (60J35) Boundary theory for Markov processes (60J50)


Related Items (7)

Growth of Lévy trees ⋮ The Brownian Web as a random \(\mathbb{R} \)-tree ⋮ Limit theorems for local and occupation times of random walks and Brownian motion on a spider ⋮ Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic mod\-els ⋮ Hereditary tree growth and Lévy forests ⋮ Brownian motion on ℝ-trees ⋮ Rayleigh processes, real trees, and root growth with re-grafting




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