2019
Том 71
№ 6

# Shurenkov V. M.

Articles: 15
Article (Ukrainian)

### Asymptotic representation of the perron root of a matrix-valued stochastic evolution

Ukr. Mat. Zh. - 1996. - 48, № 1. - pp. 35-43

We study an asymptotic representation of the Perron root of a matrix-valued stochastic evolution given by the transport equation.

Article (Ukrainian)

### Some properties of random evolutions

Ukr. Mat. Zh. - 1995. - 47, № 10. - pp. 1333-1337

We study asymptotic properties of matrix-valued random evolutions and consider an example of evolutions of this type.

Brief Communications (Russian)

### Remark on the central limit theorem for ergodic chains

Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 118-120

We obtain sufficient conditions that should be imposed on a functionf in order that, for ergodic Markov chains, the sum $$\frac{1}{{\sqrt n }} \sum\limits_{k = 0}^{n - 1} { f(X_k )}$$ be asymptotically normal.

Brief Communications (Russian)

### Matrix infinite-dimensional analog of the Wiener theorem on local inversion of Fourier transforms

Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 141-145

A matrix infinite-dimensional analog of the Wiener theorem on local inversion of Fourier transforms is proved.

Article (Ukrainian)

### Central limit theorem for stochastically additive functionals of ergodic chains

Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1421–1423

A central limit theorem is proved for stochastically additive functional of ergodic Markov chains.

Article (Ukrainian)

### Central limit theorem for special classes of functions of ergodic chains

Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1092–1094

A central limit theorem is proved forE-finite bounded functions of ergodic Markov chains. Two useful corollaries are presented.

Article (Ukrainian)

### On potentials of ergodic Markov chains

Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 446–449

Two theorems on the existence of the potential of an ergodic Markov chain in an arbitrary phase space are proved.

Article (Ukrainian)

### Central limit theorem for centered frequencies of a countable ergodic markov chain

Ukr. Mat. Zh. - 1993. - 45, № 12. - pp. 1713–1715

Article (Ukrainian)

### Asymptotic behavior of terminating markov processes, near to ergodic

Ukr. Mat. Zh. - 1990. - 42, № 12. - pp. 1701–1703

Article (Ukrainian)

### Limit distribution of the position of a semicontinuous process with negative infinite mean at the moment of exit from an interval

Ukr. Mat. Zh. - 1988. - 40, № 4. - pp. 538–541

Article (Ukrainian)

### Time of exit of a semicontinuous process with boundary

Ukr. Mat. Zh. - 1986. - 38, № 5. - pp. 625–629

Article (Ukrainian)

### Limit distribution of position at the moment a complex poisson process with zero mean and infinite variance leaves an interval

Ukr. Mat. Zh. - 1981. - 33, № 4. - pp. 552-557

Article (Ukrainian)

### Limit distribution of the position of a semicontinuous process with independent increments with zero mean and infinite dispersion at the moment of exit from an interval

Ukr. Mat. Zh. - 1980. - 32, № 2. - pp. 262 - 264

Article (Ukrainian)

### Limit distributions of time averages for a semi-Markov process with finite number of states

Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 598–603

Article (Ukrainian)

### The potential method in boundaey-value problems foe bandom walks on Markov chains

Ukr. Mat. Zh. - 1977. - 29, № 4. - pp. 464–471