Extern
Refine
Has Fulltext
- yes (8)
Keywords
- cluster expansion (3)
- infinite-dimensional Brownian diffusion (3)
- Canonical Gibbs measure (1)
- Doblin (1)
- Doeblin (1)
- Döblin (1)
- Gibbs field (1)
- Gibbs measure (1)
- Interacting Diffusion Processes (1)
- Kolmogorov-Gleichung (1)
Institute
- Institut für Mathematik (8) (remove)
The authors analyse different Gibbsian properties of interactive Brownian diffusions X indexed by the d-dimensional lattice. In the first part of the paper, these processes are characterized as Gibbs states on path spaces. In the second part of the paper, they study the Gibbsian character on R^{Z^d} of the law at time t of the infinite-dimensional diffusion X(t), when the initial law is Gibbsian. AMS Classifications: 60G15 , 60G60 , 60H10 , 60J60