Particle systems with coordination

zbMath1482.60117arXiv2001.05802MaRDI QIDQ5026460

Adrián González Casanova, András Tóbiás, Noemi Kurt

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/2001.05802

zbMATH Keywords

Feynman-Kac formulacoordinationparabolic Anderson modelinteracting particle systembranching random walkmoment dualitycoming down from infinitynested coalescentbranching coalescing processperipatric coalescent

Mathematics Subject Classification ID

Problems related to evolution (92D15) Sums of independent random variables; random walks (60G50) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Coalescent processes (60J90)

Related Items (2)

The wave speed of an FKPP equation with jumps via coordinated branching ⋮ The relative frequency between two continuous-state branching processes with immigration and their genealogy

Cites Work

• Unnamed Item
• Unnamed Item
• Yamada-Watanabe results for stochastic differential equations with jumps
• The parabolic Anderson model. Random walk in random potential
• Weak and strong solutions of general stochastic models
• One-point localization for branching random walk in Pareto environment
• The binary contact path process
• Intermittency for branching random walk in Pareto environment
• The spatial \(\Lambda\)-coalescent
• Parabolic problems for the Anderson model. I: Intermittency and related topics
• Coalescents with multiple collisions
• Scaling limit and ageing for branching random walk in Pareto environment
• Multilevel mutation-selection systems and set-valued duals
• Branching-coalescing particle systems
• A classification of coalescent processes for haploid exchangeable population models
• A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
• Markov branching processes with disasters: extinction, survival and duality to \(p\)-jump processes
• Trees within trees: simple nested coalescents
• Trees within trees. II: Nested fragmentations
• The seed bank coalescent with simultaneous switching
• Kingman's coalescent with erosion
• Coagulation-transport equations and the nested coalescents
• The nested Kingman coalescent: speed of coming down from infinity
• On the notion(s) of duality for Markov processes
• The Yamada-Watanabe-Engelbert theorem for general stochastic equations and inequalities
• Scaling limits of population and evolution processes in random environment
• The critical contact process dies out
• Kingman's coalescent and Brownian motion
• The Coalescent in Peripatric Metapopulations
• Branching processes with interactions: subcritical cooperative regime
• On Branching Processes with Random Environments: I: Extinction Probabilities

This page was built for publication: Particle systems with coordination