Brownian motion on ℝ-trees

DOI10.1090/S0002-9947-2012-05752-7zbMath1278.60009arXiv1102.3215MaRDI QIDQ2838118

Michael Eckhoff, Anita Winter, Siva R. Athreya

Publication date: 8 July 2013

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

Full work available at URL: https://arxiv.org/abs/1102.3215

zbMATH Keywords

Brownian motionrecurrencespectral gapDirichlet formsmixing timesR-treesdiffusions on metric measure trees

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Probability theory on algebraic and topological structures (60B99)

Related Items

Scaling limits of stochastic processes associated with resistance forms ⋮ Convergence of blanket times for sequences of random walks on critical random graphs ⋮ Wasserstein distance and metric trees ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Scaling limit for random walk on the range of random walk in four dimensions ⋮ Invariance principles for random walks in random environment on trees ⋮ On ergodic diffusions on continuous graphs whose centered resolvent admits a trace ⋮ Stochastic PDEs on graphs as scaling limits of discrete interacting systems ⋮ Representation theorems of ℝ-trees and Brownian motions indexed by ℝ-trees ⋮ Scaling limits of the three-dimensional uniform spanning tree and associated random walk ⋮ Brownian motion on graph-like spaces

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