Recurrence and transience of branching diffusion processes on Riemannian manifolds

DOI10.1214/aop/1046294311zbMath1014.60081OpenAlexW2034720688WikidataQ115240750 ScholiaQ115240750MaRDI QIDQ1872331

Alexander Grigor'yan, M. Ya. Kel'bert

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1046294311

zbMATH Keywords

branching processesRiemannian manifoldrecurrencetransience

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

On the density of branching Brownian motion ⋮ Branching Brownian motions on Riemannian manifolds: expectation of the number of branches hitting closed sets ⋮ Maximum likelihood estimators for a supercritical branching diffusion process ⋮ Limit Set of Branching Random Walks on Hyperbolic Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Function theory on manifolds which possess a pole
• Branching particle systems and superprocesses
• On the parabolic kernel of the Schrödinger operator
• Deformation to positive scalar curvature on complete manifolds
• A phase transition for hyperbolic branching processes
• A Liouville property for Schrödinger operators
• Hyperbolic branching Brownian motion
• Boundedness of one-dimensional branching Markov processes
• Related aspects of positivity in Riemannian geometry
• Sub-Gaussian estimates of heat kernels on infinite graphs
• Recurrence and transience of multitype branching random walks.
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains

This page was built for publication: Recurrence and transience of branching diffusion processes on Riemannian manifolds