Artículos de revistas
Exponential Rates of Convergence in the Ergodic Theorem: A Constructive Approach
Fecha
2010Registro en:
JOURNAL OF STATISTICAL PHYSICS, v.139, n.3, p.367-374, 2010
0022-4715
10.1007/s10955-010-9945-4
Autor
BOSCO, G. G.
MACHADO, F. P.
RITCHIE, Thomas Logan
Institución
Resumen
We prove that, once an algorithm of perfect simulation for a stationary and ergodic random field F taking values in S(Zd), S a bounded subset of R(n), is provided, the speed of convergence in the mean ergodic theorem occurs exponentially fast for F. Applications from (non-equilibrium) statistical mechanics and interacting particle systems are presented.