On the filtering problem for stationary random Z^2-fields
Wojciech Bułatek, Mariusz Lemańczyk, Emmanuel Lesigne · HAL (Le Centre pour la Communication Scientifique Directe) · 2005
The notion of universal filtering property of an ergodic stationary process is introduced and then using ergodic theory methods it is shown that an ergodic stationary process has this property if and only if the centralizer of the dynamical system canonically associated to the process does not contain a non-trivial compact subgroup.