Darwinian evolution as Brownian motion on the simplex: a geometric perspective on stochastic replicator dynamics
DOI10.1214/22-aap1817zbMath1523.60133arXiv2008.05410OpenAlexW3048573415MaRDI QIDQ6103971
Publication date: 5 June 2023
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.05410
Fokker-Planck equationBrownian motionreplicator dynamicsinvariant measureDirichlet distributionAitchison geometryWasserstein contractionrandom fitness landscaperevolutionary stable strategy
Brownian motion (60J65) Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Evolutionary games (91A22) Other finite linear geometries (51E26)
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