Geodesic
Ergodic Type Theorems for Gaussian Systems
Informatics and Automation, Studies on function theory and differential equations, Tome 248 (2005), pp. 40-45.

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It is assumed that the correlation matrix $(\rho _{ij})$ of a Gaussian system $(X_i,\,i=1,2,\dots)$ generates a bounded linear operator on $l^1$. Under this assumption, ergodic type theorems are discussed. 
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M. Beśka; Z. Ciesielski. Ergodic Type Theorems for Gaussian Systems. Informatics and Automation, Studies on function theory and differential equations, Tome 248 (2005), pp. 40-45. http://geodesic.mathdoc.fr/item/TRSPY_2005_248_a3/

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