Geodesic
Logarithmic velocity of convergence in CLT for stochastic linear processes and fields in a~Hilbert space
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1091-1098.

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In the paper the sums of linear random fields defined on $\mathbb Z^d$ for any $d\geqslant1$ and taking values in a Hilbert space are studied. The convergence velocity in CLT for such fields is discussed. We obtain easily verifiable sufficient conditions for logarithmic velocity of convergence. 
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A. N. Nazarova. Logarithmic velocity of convergence in CLT for stochastic linear processes and fields in a~Hilbert space. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1091-1098. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a10/

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