782 research outputs found
Influence of environmental factors on the distribution pattern of centipedes (Chilopoda) and other soil arthropods in temperate deciduous forests
Particles approximations of Vlasov equations with singular forces : Propagation of chaos
We obtain the mean field limit and the propagation of chaos for a system of
particles interacting with a singular interaction force of the type
, with in dimension . We also provide
results for forces with singularity up to but with large enough
cut-off. This last result thus almost includes the most interesting case of
Coulombian or gravitational interaction, but it is also interesting when the
strength of the singularity is larger but close to one, in which case
it allows for very small cut-off.Comment: 47 pages. This version: improvement of the presentation, in
particular of the deterministic result
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