2011/04/28 by Bernt Wennberg, Wennberg, Bernt
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Social Sciences · #60J25 #60J75 #82C40 #92D15 #92D50 #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.1104.5310
openalex publication_date 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper discusses a family of Markov processes that represent many particle\nsystems, and their limiting behaviour when the number of particles go to\ninfinity. The first part concerns model of biological systems: a model for\nsympatric speciation, i.e. the process in which a genetically homogeneous\npopulation is split in two or more different species sharing the same habitat,\nand models for swarming animals. The second part of the paper deals with\nabstract many particle systems, and methods for rigorously deriving mean field\nmodels.\n