2019
Том 71
№ 11

# Skorokhod A. V.

Articles: 21
Anniversaries (Ukrainian)

### Yuri Yurievich Trokhimchuk (on his 80th birthday)

Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 701 – 703

Anniversaries (Ukrainian)

### Volodymyr Semenovych Korolyuk (the 80th anniversary of his birth)

Ukr. Mat. Zh. - 2005. - 57, № 9. - pp. 1155-1157

Anniversaries (Ukrainian)

### Mykhailo Iosypovych Yadrenko (On His 70th Birthday)

Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 435-438

Anniversaries (Ukrainian)

### Mykola Ivanovych Portenko (On His 60th Birthday)

Ukr. Mat. Zh. - 2002. - 54, № 2. - pp. 147-148

Article (Ukrainian)

### On Randomly Perturbed Linear Oscillating Mechanical Systems

Ukr. Mat. Zh. - 2000. - 52, № 9. - pp. 1294-1303

We prove that the amplitudes and the phases of eigenoscillations of a linear oscillating system perturbed by either a fast Markov process or a small Wiener process can be described asymptotically as a diffusion process whose generator is calculated.

Anniversaries (Ukrainian)

### On the 75th Birthday of Vladimir Semenovich Korolyuk

Ukr. Mat. Zh. - 2000. - 52, № 8. - pp. 1011-1013

Anniversaries (Ukrainian)

### Anatolii Mikhailovich Samoilenko (on his 60th birthday)

Ukr. Mat. Zh. - 1998. - 50, № 1. - pp. 3–4

Anniversaries (Ukrainian)

### Yurii L’vovich Daletskii

Ukr. Mat. Zh. - 1997. - 49, № 3. - pp. 323–325

Article (English)

### Measure-valued diffusion

Ukr. Mat. Zh. - 1997. - 49, № 3. - pp. 458–464

We consider the class of continuous measure-valued processes {μ t } on a finite-dimensional Euclidean space X for which ∫fd μ t is a semimartingale with absolutely continuous characteristics with respect to t for all f:X→R smooth enough. It is shown that, under some general condition, the Markov process with this property can be obtained as a weak limit for systems of randomly interacting particles that are moving in X along the trajectories of a diffusion process in X as the number of particles increases to infinity.

Article (Ukrainian)

### Dynamical systems under the action of fast random perturbations

Ukr. Mat. Zh. - 1991. - 43, № 1. - pp. 3-21

Article (Ukrainian)

### A central limit theorem for Hermitian polynomials of independent Gaussian variables

Ukr. Mat. Zh. - 1990. - 42, № 12. - pp. 1681–1686

Article (Ukrainian)

### Vladimir Semenovich Korolyuk (on his sixtieth birthday)

Ukr. Mat. Zh. - 1985. - 37, № 4. - pp. 488–489

Article (Ukrainian)

Ukr. Mat. Zh. - 1984. - 36, № 5. - pp. 571 – 575

Article (Ukrainian)

### Distribution of functionals of certain processes with independent increments with a restraining boundary

Ukr. Mat. Zh. - 1979. - 31, № 1. - pp. 54–62

Article (Ukrainian)

### Asymptotic method for probability problems

Ukr. Mat. Zh. - 1975. - 27, № 4. - pp. 471–476

Article (Ukrainian)

### Solution and stability of a system of two linear homogeneous first order differential equations with variable coefficients

Ukr. Mat. Zh. - 1973. - 25, № 3. - pp. 400—405

Article (Ukrainian)

### On the 150-th anniversary of the birth P. L. Chebyshev

Ukr. Mat. Zh. - 1972. - 24, № 1. - pp.

Article (Russian)

### Difference equations and Markov chains

Ukr. Mat. Zh. - 1969. - 21, № 3. - pp. 305–315

Brief Communications (Russian)

### Absolute continuity of a family of measures depending on a parameter

Ukr. Mat. Zh. - 1965. - 17, № 5. - pp. 129-135

Article (Russian)

### Limiting distributions for additive functionals of a sequence of sums of independent equally distributed lattice random variables

Ukr. Mat. Zh. - 1965. - 17, № 2. - pp. 97-105

Article (Russian)

### Some limit theorems for additive functionals of a sequence of sums of independent random variables

Ukr. Mat. Zh. - 1961. - 13, № 4. - pp. 67-78

Let $\xi_1, \xi_2,... \xi_n,...$ be independent identically distributed random variables, $s_{n0} = 0,\; s_{nk} = \cfrac1{\sqrt{n}}(\xi_1 + ... + \xi_k)$; and $\Phi_n(x_0, x_1, ..., x_r)$ the sequence of non-negative measurable functions for which $\lim_{n\rightarrow \infty}\sup_{x_0, x_1, ..., x_n}\Phi_n(x_0, x_1, ..., x_r) = 0$.
Limit theorems for random variables $\cfrac1n\sum_{k=0}^{n-r}\Phi_n(s_{nk},...,s_{nk+r})$ are obtained in the article.