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- W4310346864 abstract "We study a model of an infinite system of point particles in $mathds{R}^d$ performing random jumps with attraction. The system's states are probability measures on the space of particle configurations, and their evolution is described by means of Kolmogorov and Fokker-Planck equations. Instead of solving these equations directly we deal with correlation functions evolving according to a hierarchical chain of differential equations, derived from the Kolmogorov equation. Under quite natural conditions imposed on the jump kernels -- and analyzed in the paper -- we prove that this chain has a unique classical sub-Poissonian solution on a bounded time interval. This gives a partial answer to the question whether the sub-Poissonicity is consistent with any kind of attraction. We also discuss possibilities to get a complete answer to this question." @default.
- W4310346864 created "2022-12-09" @default.
- W4310346864 creator A5057467819 @default.
- W4310346864 date "2016-12-24" @default.
- W4310346864 modified "2023-10-14" @default.
- W4310346864 title "Evolution of States of a Continuum Jump Model with Attraction" @default.
- W4310346864 doi "https://doi.org/10.48550/arxiv.1612.08198" @default.
- W4310346864 hasPublicationYear "2016" @default.
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