Citation
S. Albeverio et al., Stochastic dynamics of fluctuations in classical continuous systems, J FUNCT ANA, 185(1), 2001, pp. 129-154
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236
→ ACNP
Volume
185
Issue
1
Year of publication
2001
Pages
129 - 154
Database
ISI
SICI code
0022-1236(20010910)185:1<129:SDOFIC>2.0.ZU;2-Y
Abstract
Fluctuations in classical continuous systems are studied. In the low activi
ty high temperature regime for these fluctuations a central limit theorem i
s proven and the space of macroscopic fluctuations is constructed. Furtherm
ore, it is shown that the generator of the microscopic stochastic dynamics
in the fluctuation limit converges to the generator of a stochastic dynamic
s in the space of macroscopic fluctuations. (C) 2001 Academic Press.