Wright-Fisher diffusions in stochastic spatial evolutionary games with death-birth updating

DOI10.1214/18-AAP1390zbMath1404.60148arXiv1702.08346OpenAlexW2897447635MaRDI QIDQ1634176

Yu-Ting Chen

Publication date: 17 December 2018

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

Full work available at URL: https://arxiv.org/abs/1702.08346

zbMATH Keywords

voter modelevolutionary gameWright-Fisher diffusion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Evolutionary games (91A22)

Related Items (4)

Fixation probabilities in evolutionary dynamics under weak selection ⋮ The replicator equation in stochastic spatial evolutionary games ⋮ A mathematical formalism for natural selection with arbitrary spatial and genetic structure ⋮ Precise asymptotics of some meeting times arising from the voter model on large random regular graphs

Cites Work

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• Evolutionary games on the lattice: death-birth updating process
• Mean field conditions for coalescing random walks
• Interacting particle systems. With a new postface.
• Feasibility conditions for the existence of walk-regular graphs
• The expected eigenvalue distribution of a large regular graph
• Markov chains with almost exponential hitting times
• Markov chain models - rarity and exponentiality
• The noisy voter model
• An application of the voter model: Super-Brownian motion invariance principle.
• Weak atomic convergence of finite voter models toward Fleming-Viot processes
• Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\)
• Recurrence of distributional limits of finite planar graphs
• Rescaled voter models converge to super-Brownian motion.
• Stochastic p.d.e.'s arising from the long range contact and long range voter processes
• Sharp benefit-to-cost rules for the evolution of cooperation on regular graphs
• Spatial evolutionary games with small selection coefficients
• A proof of Alon’s second eigenvalue conjecture and related problems
• Calculation of the Wasserstein Distance Between Probability Distributions on the Line
• Spatial evolutionary games with weak selection
• Voter Model Perturbations and Reaction Diffusion Equations
• On the coalescence time of reversible random walks
• On the convergence of densities of finite voter models to the Wright-Fisher diffusion

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