FLEMING–VIOT PROCESSES IN AN ENVIRONMENT

DOI10.1142/S0219025710004127zbMath1229.60064arXiv0911.0773OpenAlexW2963831754MaRDI QIDQ3058125

Hui He

Publication date: 18 November 2010

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0773

zbMATH Keywords

Fleming-Viot processrandom environmentsuperprocessstochastic partial differential equationmeasure-valued process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random measures (60G57) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (1)

Existence, uniqueness and ergodicity for the centered Fleming-Viot process

Cites Work

• Superprocesses with coalescing Brownian spatial motion as large-scale limits
• A note on superprocesses
• Martingale measures and stochastic calculus
• Stochastic partial differential equations for some measure-valued diffusions
• Convergence to Fleming-Viot processes in the weak atomic topology
• State classification for a class of measure-valued branching diffusions in a Brownian medium
• A superprocess involving both branching and coalescing
• Stochastic differential equations and stochastic flows of diffeomorphisms
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• A class of measure-valued branching diffusions in a random medium

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