0524245 20250310155934.720200513235959.9 000532409600001 85085067190 10.1214/20-EJP460 63 s. E cav_un_epca*00419541083-648925Institute of Mathematical Statistics mean-field limit recursive tree process recursive distributional equation endogeny interacting particle systems cooperative branching cav_un_auth*0365236 34 Mach Tibor UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0244526 Sturm A. DE cav_un_auth*0217893 33 Swart Jan M. UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2020/SI/swart-0524245.pdf https://projecteuclid.org/journals/electronic-journal-of-probability/volume-25/issue-none/Recursive-tree-processes-and-the-mean-field-limit-of-stochastic/10.1214/20-EJP460.full cav_un_auth*0334217 GA16-15238S GA ČR CZ Interacting particle systems can often be constructed from a graphical representation, by applying local maps at the times of associated Poisson processes. This leads to a natural coupling of systems started in different initial states. We consider interacting particle systems on the complete graph in the mean-field limit, i.e., as the number of vertices tends to infinity. We are not only interested in the mean-field limit of a single process, but mainly in how several coupled processes behave in the limit. This turns out to be closely related to recursive tree processes as studied by Aldous and Bandyopadyay in discrete time. We here develop an analogue theory for recursive tree processes in continuous time. We illustrate the abstract theory on an example of a particle system with cooperative branching. This yields an interesting new example of a recursive tree process that is not endogenous. WOS BA 10000 10100 10103 2021 3 2 R hod 4 4rh 4 20250310155156.7 4 20250310155934.7 RVO:67985556 http://hdl.handle.net/11104/0308916 1 cav_un_auth*0391976 Georg-August-Universität Göttingen S 61 2 Article Statistics Probability A STATISTICS&PROBABILITY 1.380 0.236 7.4 0.00836 1.391 2131 55 1.666 33.37 1.16 484 Q1 1.032 161 Q3 68.896 34.8 Q2 Q1 0.47 Q3 34.8 2020 Soubory v repozitáři: swart-0524245.pdf 85085067190 SCOPUS PUBMED 000532409600001 WOS cav_un_epca*0041954 Electronic Journal of Probability 1083-6489 1083-6489 Roč. 25 č. 1 2020 Institute of Mathematical Statistics