http://dspace.nbuv.gov.ua:80/handle/123456789/3053 2026-04-15T11:54:52Z 2026-04-15T11:54:52Z Skorokhod, A.V. http://dspace.nbuv.gov.ua:80/handle/123456789/4509 2009-11-20T10:01:00Z 2007-01-01T00:00:00Z

Homogeneous Markov chains in compact spaces Skorokhod, A.V. For homogeneous Markov chains in a compact and locally compact spaces, the ergodic properties are investigated, using the notions of topological recurrence and connections.

2007-01-01T00:00:00Z Rudenko, A.V. http://dspace.nbuv.gov.ua:80/handle/123456789/4508 2009-11-20T10:01:00Z 2007-01-01T00:00:00Z

Local time as an element of the Sobolev space Rudenko, A.V. For a centered Gaussian random ?eld taking its values in R^d, we investigate the existence of a local time as a generalized functional, i.e an element of some Sobolev space. We give the sfficient condition for such an existence in terms of the field covariation and apply it in several examples: the self-intersection local time for a fractional Brownian motion and the intersection local time for two Brownian motions.

2007-01-01T00:00:00Z Melnik, S. http://dspace.nbuv.gov.ua:80/handle/123456789/4507 2009-11-20T10:00:59Z 2007-01-01T00:00:00Z

The decomposition of a solution of the quasilinear stochastic parabolic equation with weak source Melnik, S. We obtain conditions which guarantee the existence of a decomposition of a solution of the quasilinear stochastic parabolic equation with a weak source.

2007-01-01T00:00:00Z Korchinsky, I.A. Kulik, A.M. http://dspace.nbuv.gov.ua:80/handle/123456789/4506 2009-11-20T10:00:58Z 2007-01-01T00:00:00Z

Local limit theorem for triangular array of random variables Korchinsky, I.A.; Kulik, A.M. For a triangular array of random variables {Xk,n, k = 1, . . . , cn; n belongs N} such that, for every n, the variables X1,n, . . .,Xcn,n are independent and identically distributed, the local limit theorem for the variables Sn = X1,n + · · · + Xcn,n is established.

2007-01-01T00:00:00Z