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A remark on infinite-dimensional Wiener processes with interactions

โœ Scribed by Tokuzo Shiga

Publisher
Springer
Year
1979
Tongue
English
Weight
226 KB
Volume
47
Category
Article
ISSN
1432-2064

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Infinite dimensional diffusion processes
Infinite dimensional diffusion processes with singular interaction
โœ Myriam Fradon; Sylvie Rล“lly ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 238 KB

An infinite system of hard spheres in R d undergoing Brownian motions and submitted to a smooth pair potential is studied. It is modelized by an infinitedimensional Stochastic Differential Equation with a local time term. We prove existence and uniqueness of such a diffusion process, and also that G