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Stochastic Dynamics of Fluctuations in Classical Continuous Systems

✍ Scribed by Sergio Albeverio; Martin Grothaus; Yuri G. Kondratiev; Michael Röckner

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
205 KB
Volume
185
Category
Article
ISSN
0022-1236

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✦ Synopsis

Fluctuations in classical continuous systems are studied. In the low activity high temperature regime for these fluctuations a central limit theorem is proven and the space of macroscopic fluctuations is constructed. Furthermore, it is shown that the generator of the microscopic stochastic dynamics in the fluctuation limit converges to the generator of a stochastic dynamics in the space of macroscopic fluctuations.

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