MIXING OF LINEAR SPATIAL RANDOM-FIELDS

We give sufficient strong mixing conditions for random fields X = (X(t))t-epsilon Z(d) defined linearly by X(t) = [GRAPHICS] where Z is itself a mixing random field, extending a work by Gorodetski [8] concerned by unilateral linear sequences. We give explicit bounds for those mixing coefficients, they usually depend on the cardinal of the subsets considered, at least for d greater-than-or-equal-to 2. We compare this case to the gaussian one communicated by Ibragimov [9].