Hydrodynamic limit for the Bak-Sneppen branching diffusions

DOI10.1007/S10955-022-02900-YzbMath1495.60090OpenAlexW2502551419MaRDI QIDQ2116532

Yishu Song, Ilie Grigorescu

Publication date: 17 March 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-022-02900-y

zbMATH Keywords

branching processesnonstandard boundary conditionsreaction-diffusionquasi-stationary distributionFleming-Viotsuper-criticalBak-Sneppen

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Cites Work

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• Fleming-Viot selects the minimal quasi-stationary distribution: the Galton-Watson case
• Interacting particle systems and Yaglom limit approximation of diffusions with unbounded drift
• Tagged particle limit for a Fleming-Viot type system
• Brownian motion on the figure eight
• Quasi-stationary distributions and population processes
• Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure
• Quasi stationary distributions and Fleming-Viot processes in countable spaces
• Ergodic properties of multidimensional Brownian motion with rebirth
• Hydrodynamic limit for a Fleming-Viot type system.
• A Fleming-Viot particle representation of the Dirichlet Laplacian

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