Stationary measures of stochastic gradient systems,infinite lattice models |
| |
Authors: | J Fritz |
| |
Institution: | (1) Mathematical Institute, Reáltanoda u. 13, 1053 Budapest, Hungary |
| |
Abstract: | Summary Let G be the formal generator of a d-dimensional stochastic gradient system associated to an interaction potential U. If G d = 0 for such smooth that G IL
1( ), then certain moment conditions imply that is a Gibbs random field for U. If U satisfies a stability condition, and d 2 or is translation invariant, then these moment conditions can be replaced by a natural support condition. Results of Holley and Stroock 6] are extended to certain unbounded spin systems. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|