kinetic equations,
phase transitions,
transmission if signals,
random media,
quantum fields.
UDC:
621.391.1, 530.145, 519.27
Subject:
statistical mechanics, applications of random processes theory
Main publications:
Yu. P. Virchenko, A. S. Mazmanishvili, “Odnovershinnost raspredeleniya chisla fotootschetov gaussovskikh opticheskikh polei”, Probl. peredachi inform., 31:1 (1995), 84–89
Yu. P. Virchenko, N. V. Laskin, “Ogrublennoe opisanie raspredeleniya reshenii uravneniya Lanzhevena”, TMF, 41:3 (1979), 406–417
Yu. P. Virchenko, N. V. Laskin, “O raskhodimostyakh pri postroenii kineticheskikh uravnenii”, TMF, 44:2 (1980), 238–250
Yu. P. Virchenko, A. S. Mazmanishvili, “Raspredelenie veroyatnostei sluchainogo funktsionala – svertki ot normalnogo markovskogo protsessa”, Probl. peredachi inform., 26:3 (1990), 96–101
Yu. L. Bolotin, Yu. P. Virchenko, “Statistika kvazienergii kvantovo-mekhanicheskikh sistem dlya regulyarnogo i khaoticheskogo rezhimov s gamiltonianami, periodicheski izmenyayuschimisya vo vremeni”, TMF, 108:3 (1996), 431–447
Yu. P. Virchenko, D. A. Cherkashin, “Hierarchical models in discrete percolation theory and Markov branching processes”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 235 (2024), 15–33
2.
Yu. P. Virchenko, V. V. Zhiltsova, “Two-Sided Estimates of Solutions with a Blow-Up Mode for a Nonlinear Heat Equation with a Quadratic Source”, Math. Notes, 115:5 (2024), 692–705
2023
3.
Yu. P. Virchenko, A. S. Mazmanishvili, “Reconstruction of characteristic functions of quadratic functionals on trajectories of Gaussian stochastic processes”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 227 (2023), 20–40
4.
Yu. P. Virchenko, A. S. Mazmanishvili, “Kac–Siegert formula for oscillatory random processes”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 225 (2023), 38–58
5.
Yu. P. Virchenko, V. V. Chentsova, “Bilateral estimates of solutions with blow up regime of the nonlinear heat equation with a quadratic source”, Applied Mathematics & Physics, 55:3 (2023), 273
6.
Yu. P. Virchenko, A. Dovganuk, D. Machukaev, S. I. Kucheev, “Three-electrode liquid crystal cell with lens-like properties”, Applied Mathematics & Physics, 55:2 (2023), 157
2022
7.
Yu. P. Virchenko, A. E. Novoseltseva, “Hyperbolic first-order covariant evolution equations for vector fields in $\mathbb{R}^3$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217 (2022), 20–28
8.
Yu. P. Virchenko, A. E. Novoseltseva, “Hyperbolicity of covariant systems of first-order equations for vector and scalar fields”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 209 (2022), 3–15
9.
Yu. P. Virchenko, A. E. Novoseltseva, “Hyperbolicity of a class of first-order quasilinear covariant equations of divergent type”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 207 (2022), 16–26
10.
Yu. P. Virchenko, “Multipotent sets in homogeneous commutative monoids”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204 (2022), 27–36
11.
Yu. P. Virchenko, I. Shapolova, “Statistical approach of the determination of the tensile strength of solid porous material”, Applied Mathematics & Physics, 54:2 (2022), 131–136
2021
12.
Yu. P. Virchenko, A. V. Subbotin, “Second-order evolution equations of divergent type for solenoidal vector fields on $\mathbb{R}^3$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 198 (2021), 41–49
13.
Yu. P. Virchenko, “Solvability of the system of integral equations of lattice models of statistical mechanics”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195 (2021), 10–24
14.
Yu. P. Virchenko, A. V. Subbotin, “Hyperbolic quasilinear covariant first-order equations of divergent type for vector fields on $\mathbb{R}^3$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191 (2021), 16–28
15.
Yu. P. Virchenko, I. Shapolova, “Probability distribution of critical tensions of sample break of porous material”, Applied Mathematics & Physics, 53:4 (2021), 312–316
16.
Yu. P. Virchenko, N. Vitokhina, “The Ziegert formula for multidimensional Ornshtein-Uhlenbeck random processes”, Applied Mathematics & Physics, 53:2 (2021), 97–113
2020
17.
Yu. P. Virchenko, A. V. Subbotin, “First-order covariant differential operators”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187 (2020), 19–30
Yu. P. Virchenko, L. P. Danilova, “Graphs and algebras of symmetric functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 174 (2020), 20–36
Yu. P. Virchenko, “Multipotent sets in uniform commutative monoids and binary Goldbach problem”, Applied Mathematics & Physics, 52:3 (2020), 173–184
20.
Yu. P. Virchenko, E. Yu. Moskovchenko, “Kirkwood - Salzburg equations for lattice classical models of statistical mechanics”, Applied Mathematics & Physics, 52:2 (2020), 62–70
2019
21.
Yu. P. Virchenko, A. V. Subbotin, “Description of a class of evolutionary equations in ferrodynamics”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170 (2019), 15–30
Yu. P. Virchenko, A. D. Novoseltsev, “Unimodality of probability distributions for sample maxima of independent erlang random variables”, Applied Mathematics & Physics, 51:3 (2019), 366–373
23.
Yu. P. Virchenko, A. A. Pleskanev, “Hyperbolic spherically symmetric first order equation of divergent type for a vector field”, Applied Mathematics & Physics, 51:2 (2019), 280–294
2016
24.
T. M. Pham, Yu. P. Virchenko, “Exhaustive study of the noise-induced phase transition in a stochastic model of self-catalyzed reactions”, TMF, 188:2 (2016), 318–336; Theoret. and Math. Phys., 188:2 (2016), 1236–1252
2003
25.
Yu. P. Virchenko, Yu. A. Tolmacheva, “Revision of upper estimate of percolation threshold on square lattice”, Mat. Fiz. Anal. Geom., 10:1 (2003), 29–39
2001
26.
Yu. P. Virchenko, O. L. Shpilinskaya, “Stochastic Fractals with Markovian Refinements”, TMF, 128:2 (2001), 178–192; Theoret. and Math. Phys., 128:2 (2001), 983–995
Yu. P. Virchenko, O. I. Sheremet, “Geometric Models of the Statistical Theory of Fragmentation”, TMF, 128:2 (2001), 161–177; Theoret. and Math. Phys., 128:2 (2001), 969–982
2000
28.
Yu. P. Virchenko, O. L. Shpilinskaya, “Random point fields with Markovian refinements and the geometry of fractally disordered media”, TMF, 124:3 (2000), 490–505; Theoret. and Math. Phys., 124:3 (2000), 1273–1285
Yu. L. Bolotin, Yu. P. Virchenko, “The quasi-energy statistics for regular and chaotic regimes in quantum systems with hamiltonians periodic in time”, TMF, 108:3 (1996), 431–447; Theoret. and Math. Phys., 108:3 (1996), 1195–1207
1995
30.
Yu. P. Virchenko, A. S. Mazmanishvili, “Unimodality of the Distribution of the Number of Pulses for Gaussian Optical Fields”, Probl. Peredachi Inf., 31:1 (1995), 84–89; Problems Inform. Transmission, 31:1 (1995), 72–77
1990
31.
Yu. P. Virchenko, A. S. Mazmanishvili, “Probability Distribution of the Stochastic Convolution Functional of a Normal Markov Process”, Probl. Peredachi Inf., 26:3 (1990), 96–101; Problems Inform. Transmission, 26:3 (1990), 275–280
Yu. P. Virchenko, S. V. Peletminskii, “Solutions of dynamical equations for exchange spiral magnetic structures”, TMF, 81:3 (1989), 441–454; Theoret. and Math. Phys., 81:3 (1989), 1319–1328
1982
33.
Yu. P. Virchenko, “Description of the phase with broken symmetry in the Ising model by the method of quasi-averages”, TMF, 52:3 (1982), 473–490; Theoret. and Math. Phys., 52:3 (1982), 927–938
Yu. P. Virchenko, N. V. Laskin, “Divergences in the construction of kinetic equations”, TMF, 44:2 (1980), 238–250; Theoret. and Math. Phys., 44:2 (1980), 717–724
1979
35.
Yu. P. Virchenko, N. V. Laskin, “Coarse-grain description of the distribution of solutions of the Langevin equation”, TMF, 41:3 (1979), 406–417; Theoret. and Math. Phys., 41:3 (1979), 1104–1111
Yu. P. Virchenko, S. V. Peletminskii, “Nonequilibrium entropy of a system of interacting particles in the low-density approximation”, TMF, 34:1 (1978), 122–136; Theoret. and Math. Phys., 34:1 (1978), 76–85
1976
37.
Yu. P. Virchenko, S. V. Peletminskii, “Quantum virial expansions in the theory of kinetic equations”, TMF, 27:1 (1976), 94–103; Theoret. and Math. Phys., 27:1 (1976), 355–361
A. Ya. Belov, V. M. Buchstaber, V. B. Vasilyev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamyi, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov (on the 70-th anniversary of his birth)”, Chebyshevskii Sb., 25:2 (2024), 5–19
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