2019
Том 71
№ 11

All Issues

Fomichev V. V.

Articles: 2
Article (Russian)

Level-crossing intensity for the density of the image of the Lebesgue measure under the action of a Brownian stochastic flow

Fomichev V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2017. - 69, № 6. - pp. 803-822

We compute the level-crossing intensity for the density of the image of the Lebesgue measure under the action of a Brownian stochastic flow, which is a smooth approximation of the Arratia flow, and determine its asymptotic behavior as the height of the level tends to infinity.

Article (Russian)

Self-improvement of summability factors of functions satisfying the reverse Hölder inequality in limit cases

Fomichev V. V., Korenovskii A. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2010. - 62, № 4. - pp. 483–493

We show that the best summability factors of functions that satisfy the reverse Hölder inequality in limit cases can be obtained from the nonlimit case by passing to the limit.