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: 24, 248-272, LNM 321 (1973)MÜRMANN, Michael G.
A semi-Markovian model for the Brownian motion
A model for physical Brownian motion (the effect on a heavy particle of many interactions with light particles), originally proposed by Spitzer and Holley, in dimension 1, is studied in detail. The resulting process, whose construction is delicate, is non-MarkovianComment:
The last two pages of the manuscript (proof of Proposition 5 and References) were omitted at the production stage, and added as a loose sheet to vol. VIII, while another loose sheet contains an example. These sheets are not mentioned in the table of contents of vol. VIIIKeywords: Infinite particle systemsNature: Original Retrieve article from Numdam