2019
Том 71
№ 11

All Issues

Zhirnyi G. G.

Articles: 2
Article (Russian)

Functional law of the iterated logarithm for fields and its applications

Bondarev B. V., Zhirnyi G. G.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 7. - pp. 883–894

For a Wiener field with an arbitrary finite number of parameters, we construct the law of the iterated logarithm in the functional form. We consider the problem for random fields of a certain type to reside within curvilinear boundaries without assuming that the Cairoli—Walsh condition is satisfied.

Article (Russian)

Some properties of multiparameter random fields

Bondarev B. V., Zhirnyi G. G.

↓ Abstract   |   Full text (.pdf)

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.