Particle systems with coordination

نویسندگان

چکیده

We consider a generalization of spatial branching coalescing processes in which the behaviour individuals is not (necessarily) independent, on contrary, tend to take simultaneous actions. show that these have moment duals, happen be multidimensional diffusions with jumps. Moment duality provides general framework study structural properties this class. present some conditions under expectation process affected by coordination and comment effect variance. analyse several examples more detail, including nested coalescent, peripatric coalescent selection coordinated migration, Parabolic Anderson Model.

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ژورنال

عنوان ژورنال: ALEA-Latin American Journal of Probability and Mathematical Statistics

سال: 2021

ISSN: ['1980-0436']

DOI: https://doi.org/10.30757/alea.v18-68