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Autor:
Virchenko, Yu. P.1 (AUTHOR) virch@bsu.edu.ru, Danilova, L. P.1 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Jun2023, Vol. 272 Issue 5, p642-657. 16p.
Autor:
Antonova, E. S., Virchenko, Yu. P.
The upper estimate of the percolation threshold of the Bernoulli random field on the hexagonal lattice is found. It is done on the basis of the cluster decomposition. Each term of the decomposition is estimated using the number estimate of cycles on
Externí odkaz:
http://arxiv.org/abs/0909.1312
Publikováno v:
Journal of Surface Investigation: X-Ray, Synchrotron & Neutron Techniques; Jun2024, Vol. 18 Issue 3, p699-705, 7p
Autor:
Brodskii, R. E., Virchenko, Yu P.
The cascade kinetic fragmentation process of solids is investigated when the condition probability density of splinter formation do not depends on time and has the property $P(\rho, r, t) = P(\rho/r)$. It is obtained the evolution equation for the pr
Externí odkaz:
http://arxiv.org/abs/0808.1214
Autor:
Virchenko, Yu. P., Vitokhina, N. N.
On the basis of the Kac formula of the characteristic function of the random variable defined by values of the quadratic functional $J_T [w]$ on trajectories of the standard Wiener process $\{w\}$, the method of its distribution density is proposed.<
Externí odkaz:
http://arxiv.org/abs/math-ph/0510028
Autor:
Virchenko, Yu. P., Vitokhina, N. N.
The Mandel probability distribution of one-mode stochastic radiation photocounts is analized. Approximations of n-photon registration probabilities with guaranteed accuracy are obtained in the case when the registration time is sufficiently small.
Externí odkaz:
http://arxiv.org/abs/math-ph/0411025
Autor:
Virchenko, Yu. P., Tolmacheva, Yu. A.
The more exact upper estimate of the percolation threshold for the {\it site problem} on the quadratic lattice ${\Bbb Z}^2$ have been found on the basis of the cluster decomposition. It is done by the number estimate of cycles on ${\Bbb Z}^2$ which m
Externí odkaz:
http://arxiv.org/abs/math-ph/0204033
Autor:
Virchenko, Yu. P., Tolmacheva, Yu. A.
Publikováno v:
Functional Materials NAS of Ukraine, 2001, Vol.8, #4, pp. 600-603
The problem of percolation along sites of square lattice is studied. The number of contours being external boundaries for finite clusters has been estimated using geometric considerations. This estimation makes it possible to determine more precisely
Externí odkaz:
http://arxiv.org/abs/math-ph/0204004
Autor:
Virchenko, Yu. P.1 (AUTHOR) virch@bsu.edu.ru, Subbotin, A. V.1 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. May2022, Vol. 263 Issue 4, p475-490. 16p.