Bondarev B. V.
Ukr. Mat. Zh. - 1996. - 48, № 12. - pp. 1638-1650
We construct the exponential Bernstein inequality for normed fluctuations of a solution of the Dirichlet problem with rapidly oscillating periodic random coefficients with respect to a solution of the averaged Dirichlet problem.
Ukr. Mat. Zh. - 1995. - 47, № 12. - pp. 1609–1621
We study some properties of multiparameter random fields, namely, the problems of absolute continuity of measures and averaging in the multiparameter case. For a special stochastic system, we present inequalities of large deviations.