On Gibbsianness of infinite-dimensional diffusions
| Autor: | Dereudre, David, Roelly, Sylvie |
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| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: | |
| Druh dokumentu: | Kniha |
| Popis: | We analyse different Gibbsian properties of interactive Brownian diffusions X indexed by the lattice $Z^{d} : X = (X_{i}(t), i ∈ Z^{d}, t ∈ [0, T], 0 < T < +∞)$. In a first part, these processes are characterized as Gibbs states on path spaces of the form $C([0, T],R)Z^{d}$. In a second part, we study the Gibbsian character on $R^{Z}^{d}$ of $v^{t}$, the law at time t of the infinite-dimensional diffusion X(t), when the initial law $v = v^{0}$ is Gibbsian. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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