Gradient flow formulations of discrete and continuous evolutionary models: a unifying perspective

DOI10.1007/s10440-021-00391-9zbMath1473.35590arXiv1907.01681OpenAlexW3126860757MaRDI QIDQ2040625

Ana Margarida Ribeiro, Léonard Monsaingeon, Max O. Souza, Fabio A. C. C. Chalub

Publication date: 14 July 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01681

zbMATH Keywords

replicator dynamicsoptimal transportgradient flow structureKimura equationreducible Markov chainsShahshahani distance

Mathematics Subject Classification ID

Problems related to evolution (92D15) Continuous-time Markov processes on general state spaces (60J25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Variational principles in infinite-dimensional spaces (58E30)

Related Items (3)

An Optimal Mass Transport Method for Random Genetic Drift ⋮ Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions ⋮ Hidden Dissipation and Convexity for Kimura Equations

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