Coagulation-transport equations and the nested coalescents

DOI10.1007/s00440-019-00914-4zbMath1434.60298arXiv1807.09153OpenAlexW2963283986WikidataQ128043300 ScholiaQ128043300MaRDI QIDQ2291688

Emmanuel Schertzer, Amaury Lambert

Publication date: 31 January 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09153

zbMATH Keywords

hydrodynamic limitSmoluchowski equationempirical measurephylogeneticsMcKean-Vlasov equationentrance boundarycoalescent point processKingman coalescentcontinuous-state branching processdegenerate PDEPDE probabilistic solution

Mathematics Subject Classification ID

Problems related to evolution (92D15) Order statistics; empirical distribution functions (62G30) Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Convergence of probability measures (60B10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Exchangeability for stochastic processes (60G09) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Integro-partial differential equations (35R09) Jump processes on general state spaces (60J76)

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Trees within trees. II: Nested fragmentations ⋮ Particle systems with coordination ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ An exactly solvable continuous-time Derrida-Retaux model

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