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Orlov, Yurii Nikolayevich
Statistics Math-Net.Ru
Total publications: 156
Scientific articles: 155
Presentations: 9

Number of views:
This page:4691
Abstract pages:42538
Full texts:16477
References:5113
Associate professor
Doctor of physico-mathematical sciences (2007)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 1.02.1964
E-mail: , ,
Keywords: kinetic equations; quantization; dynamical systems; Wigner function.

Subject:

Investigation of classical, relativistic and quantum kinetic equations, examination of their properties and regions of applicability for various physical systems. The Post-Galilean statistical mechanics and hydrodynamics in Lagrange and Hamilton variables has been constructed for the systems with retardation of interaction with the use of correct investigation of Legendre transformation. The general linear quantization is consructed for the Post-Galilean dynamical systems. The density matrix and Wigner function were examined in the neighborhood of Lagrangian singular points. The class of two-dimensional integrable dynamical systems is constructed and linearly quantized. Only for Weil quantization there exist one of the representatives, which remains integrable in quantum case. The class of polynomial Hamiltonians, modelling the scattering processes in problems of quantum optics, has been classified with respect to linear conservation laws in terms of number operators. The non-classical special polynomials were introduced for precise asymtotic spectrum analysis. The generalized coherence states representation is constructed for non-classical commutation relations. The existence of covariant symbols of vectors and operators has been proved for this representation. The kinetic equations method is applied to the cocial systems, for the problems of demography, economy and ecology. The non-linear models of evolution of non-uniform populations were constructed and theoretically and numerically examined for the assimilation task. In particularly, the long-time prediction of demography situation in Russia is constructed.

Biography

Ph.D. in Mathematical Physics Keldysh Institute of Applied Mathematics Russian Academy of Sciences, Moscow, January, 1993 M.S. in Physics MPhTI — Moscow Institute of Physics and Technology, Moscow, June, 1987 Experience in Academy of Sciences of Russia 1996 — present Senior Scientist of the Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow (the position in Academy of Sciences is equivalent to the reader position in University) 1993 Candidate of Sciences in Mathematics and Physics, the degree was awarded by the Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow. Teaching experience 1996.
   
Main publications:
  • Quantum BBGKY Hierarchies and Wigner Equation in Postgalilean Approximation (with I. P.Pavlotsky) // Physica A, 158 (1989), 607–618.
  • Equilibrium Postgalilean BBGKY Hierarchies (with I. P. Pavlotsky) // Dokl. Akad. Nauk SSSR, 304 (1989), 329–332.
  • Special Polynomials in Problems of Quantum Optics (with V. V. Vedenyapin) // Modern Physics Letters B, 9, no. 5 (1995), 291–298.
  • Conservation laws for Polynomial Quantum Hamiltonians (with O. V. Mingalev and V. V. Vedenyapin) // Physics Letters A, 223 (1996), 246–250.

https://www.mathnet.ru/eng/person17802
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/238840
https://orcid.org/0000-0002-1356-5137

Publications in Math-Net.Ru Citations
2025
1. A. A. Kolotova, Yu. N. Orlov, “Modeling of disorders predictors for non-stationary time-series”, Keldysh Institute preprints, 2025, 022, 23 pp.  mathnet
2. R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Stochastic control modeling for the problem of random motion”, Mat. Model., 37:3 (2025),  113–126  mathnet
3. Yu. N. Orlov, T. V. Sivakova, N. L. Shimanovsky, “A rank model for assessing the risks of polypharmacotherapy”, Mat. Model., 37:2 (2025),  99–110  mathnet
4. Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Kac formulas for solutions of nonstationarily perturbed evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 65:1 (2025),  69–87  mathnet  elib; Comput. Math. Math. Phys., 65:1 (2025), 109–128
2024
5. M. Yu. Kislitsyna, Yu. N. Orlov, “The structure of errors in recognizing the author of the text by the trigram method”, Keldysh Institute preprints, 2024, 060, 24 pp.  mathnet
6. Yu. N. Orlov, T. V. Sivakova, “The model for assessing the significance of side effects in the use of several drugs”, Keldysh Institute preprints, 2024, 037, 24 pp.  mathnet 1
7. M. Yu. Kislitsyna, Yu. N. Orlov, “Statistical analysis of the complete corpus of fiction in Russian and recognition of the author”, Keldysh Institute preprints, 2024, 017, 24 pp.  mathnet 2
8. M. Yu. Kislitsyna, Yu. N. Orlov, “The distribution of ordinal frequencies of consonants as an invariant of a language group”, Keldysh Institute preprints, 2024, 016, 18 pp.  mathnet
9. R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Generalized Coherent States and Random Shift Operators”, Trudy Mat. Inst. Steklova, 324 (2024),  124–131  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 324 (2024), 115–122  scopus
10. V. M. Busovikov, Yu. N. Orlov, V. Zh. Sakbaev, “Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space”, TMF, 218:2 (2024),  238–257  mathnet  mathscinet; Theoret. and Math. Phys., 218:2 (2024), 205–221  isi  scopus
2023
11. L. V. Aleksandrova, M. Yu. Kislitsyna, Yu. N. Orlov, “Methods of finding relationships in the processing of psychological tests”, Keldysh Institute preprints, 2023, 011, 18 pp.  mathnet 2
12. R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Averaging of random affine transformations of functions domain”, Ufimsk. Mat. Zh., 15:2 (2023),  55–64  mathnet; Ufa Math. J., 15:2 (2023), 55–64 2
2022
13. M. Yu. Voronina, Yu. N. Orlov, “Identification of the author of the text by segmentation method”, Computer Research and Modeling, 14:5 (2022),  1199–1210  mathnet 3
14. N. A. Volkov, D. I. Dmitriev, M. E. Zhukovskii, J. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, I. I. Bogdanov, O. R. Grigoryan, V. A. Alekseev, Yu. G. Smetanin, M. G. Amaglobeli, A. G. Myasnikov, V. N. Remeslennikov, “Erratum to: Several Articles in Doklady Mathematics”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  402–403  mathnet; Dokl. Math., 106:2 (2022), 402–403
15. J. E. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Markov approximations of the evolution of quantum systems”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022),  48–53  mathnet  elib; Dokl. Math., 105:2 (2022), 92–96 4
16. Yu. N. Orlov, V. O. Solovyev, “To the accuracy estimation of the high intensive flows of experimental data”, Keldysh Institute preprints, 2022, 083, 24 pp.  mathnet
17. M. Yu. Voronina, A. A. Kislitsyn, Yu. N. Orlov, “Two-factor patterns construction in problems of texts classification”, Keldysh Institute preprints, 2022, 043, 24 pp.  mathnet 1
18. V. T. Zhukov, A. V. Koldomov, Yu. N. Orlov, M. A. Shakhramanyan, “The concept of creating an automated system of aerospace monitoring of forest fires”, Keldysh Institute preprints, 2022, 024, 18 pp.  mathnet
19. M. Yu. Voronina, A. A. Kislitsyn, Yu. N. Orlov, “Algorithm of the correction of bigram method for the problem of the text author identification”, Mat. Model., 34:9 (2022),  3–20  mathnet  mathscinet; Math. Models Comput. Simul., 15:2 (2023), 245–254 2
20. R. Sh. Kalmetiev, Yu. N. Orlov, V. Zh. Sakbaev, “Chernoff iterations as an averaging method for random affine transformations”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022),  1030–1041  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:6 (2022), 996–1006 8
2021
21. J. E. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Random quantization of Hamiltonian systems”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021),  31–36  mathnet  zmath  elib; Dokl. Math., 103:3 (2021), 122–126  scopus 15
22. A. A. Kislitsyn, Yu. N. Orlov, “The investigation of the k-NN graph statistics”, Keldysh Institute preprints, 2021, 085, 23 pp.  mathnet 6
23. E. I. Kirilenko, Yu. N. Orlov, “The spectral portraits method in digital threpsology”, Keldysh Institute preprints, 2021, 045, 26 pp.  mathnet
24. Yu. N. Orlov, A. S. Pankratov, “To the evolution model of network graph structure construction”, Keldysh Institute preprints, 2021, 024, 16 pp.  mathnet  elib 2
25. A. A. Kislitsyn, Yu. N. Orlov, “Model for the evolution of the degree distributions of the vertices of social network graphs”, Mat. Model., 33:9 (2021),  3–21  mathnet; Math. Models Comput. Simul., 14:2 (2022), 270–280
26. L. A. Borisov, Yu. N. Orlov, “On the Inversion Formula of Linear Quantization and the Evolution Equation for the Wigner Function”, Trudy Mat. Inst. Steklova, 313 (2021),  23–32  mathnet  elib; Proc. Steklov Inst. Math., 313 (2021), 17–26  isi  scopus
2020
27. G. V. Danilov, V. V. Zhukov, A. S. Kulikov, E. S. Makashova, N. A. Mitin, Yu. N. Orlov, “Comparative analysis of statistical methods of scientific publications classification in medicine”, Computer Research and Modeling, 12:4 (2020),  921–933  mathnet 8
28. N. A. Mitin, Yu. N. Orlov, “Statistical analysis of bigrams of specialized texts”, Computer Research and Modeling, 12:1 (2020),  243–254  mathnet 3
29. L. V. Klochkova, Yu. N. Orlov, V. F. Tishkin, “Mathematical modeling of stochastic processes of virus propagation in the human environment”, Keldysh Institute preprints, 2020, 114, 17 pp.  mathnet 3
30. Yu. N. Orlov, “Evolution equation for Wigner function for linear quantization”, Keldysh Institute preprints, 2020, 040, 22 pp.  mathnet
31. A. Yu. Ivchenko, Yu. N. Orlov, E. V. Fomina, “Indicators of stability of locomotor functions of cosmonauts”, Keldysh Institute preprints, 2020, 038, 24 pp.  mathnet  elib
32. M. Yu. Voronina, Yu. N. Orlov, “On the statistical analysis of psychology testing results”, Keldysh Institute preprints, 2020, 029, 28 pp.  mathnet 1
33. A. A. Kislitsyn, Yu. N. Orlov, “Structure of the network graph connections”, Keldysh Institute preprints, 2020, 027, 16 pp.  mathnet 2
34. M. B. Gavrikov, A. A. Kislitsyn, Yu. N. Orlov, A. O. Kambarov, D. B. Nikitjuk, V. A. Tutelyan, “Numerical personal threpsology: the problems and solutions”, Keldysh Institute preprints, 2020, 025, 36 pp.  mathnet 3
35. Yu. N. Orlov, V. Zh. Sakbaev, D. V. Zavadsky, “Operator random walks and quantum oscillator”, Lobachevskii J. Math., 41:4 (2020),  676–685  mathnet  mathscinet  isi  scopus 4
36. A. A. Kislitsin, Yu. N. Orlov, “Modeling evolution sample distributions of random quantities by the equation of Liuville”, Mat. Model., 32:1 (2020),  111–128  mathnet; Math. Models Comput. Simul., 12:5 (2020), 747–756
37. S. Z. Adzhiev, Ya. G. Batishcheva, V. V. Vedenyapin, Yu. A. Volkov, V. V. Kazantseva, I. V. Melikhov, M. A. Negmatov, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “S.K. Godunov and kinetic theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  621–625  mathnet  elib; Comput. Math. Math. Phys., 60:4 (2020), 610–614  isi  scopus 1
2019
38. Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Randomizes hamiltonian mechanics”, Dokl. Akad. Nauk, 486:6 (2019),  635–658  mathnet  elib 2
39. M. B. Gavrikov, A. A. Kislitsyn, Yu. N. Orlov, N. V. Pestryakova, “Computational aspects of the problems of digital nutrition”, Keldysh Institute preprints, 2019, 136, 16 pp.  mathnet 1
40. M. Yu. Voronina, N. Yu. Lysova, D. S. Ivanov, Yu. N. Orlov, E. V. Fomina, “Variability of locomotor strategy of cosmonauts at different stages of long-term space flight”, Keldysh Institute preprints, 2019, 091, 19 pp.  mathnet  elib 1
41. I. E. Ilin, Yu. N. Orlov, “Statistical recognition of the dynamical systems with chaotic perturbation”, Keldysh Institute preprints, 2019, 037, 24 pp.  mathnet  elib
42. N. N. Fimin, V. M. Chechetkin, Yu. N. Orlov, “Wave packet dynamics in the vicinity of black hole "apparent horizon"”, Mat. Model., 31:5 (2019),  103–120  mathnet  elib; Math. Models Comput. Simul., 12:1 (2020), 1–11
43. N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Analytical investigation of massive particles dynamics in Kruskal metric”, Mat. Model., 31:3 (2019),  55–68  mathnet  elib; Math. Models Comput. Simul., 11:5 (2019), 850–857
44. Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman Formulas and the Law of Large Numbers for Random One-Parameter Semigroups”, Trudy Mat. Inst. Steklova, 306 (2019),  210–226  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 306 (2019), 196–211  isi  scopus 13
2018
45. A. A. Kislitsyn, Yu. N. Orlov, “Structure of semantic connections of words of the Russian explanatory dictionary”, Keldysh Institute preprints, 2018, 252, 28 pp.  mathnet  elib 2
46. E. A. Zabrodina, Yu. N. Orlov, V. O. Soloviev, “The detonation wave propagation modeling in a cylindrical channel”, Keldysh Institute preprints, 2018, 180, 14 pp.  mathnet  elib
47. A. Yu. Ivchenko, A. A. Kislitsyn, Yu. N. Orlov, “SIR distribution for dynamical system trajectories on the example of underground tube”, Keldysh Institute preprints, 2018, 155, 21 pp.  mathnet  elib
48. A. A. Kislitsyn, A. B. Kozlova, M. B. Korsakova, E. L. Masherov, Yu. N. Orlov, “Stationary point of significance level for non-stationary distribution functions”, Keldysh Institute preprints, 2018, 113, 20 pp.  mathnet  elib 1
49. Yu. N. Orlov, “On the commutation of quantum operators of the first integrals of Hamiltonian systems”, Keldysh Institute preprints, 2018, 018, 15 pp.  mathnet  elib
50. Yu. N. Orlov, A. A. Russkov, Yu. V. Gaidamaka, K. E. Samouylov, “On the distribution of the time of the first communication release in wireless networks with caching”, Mat. Model., 30:8 (2018),  131–142  mathnet; Math. Models Comput. Simul., 11:2 (2019), 321–327
51. L. V. Klochkova, Yu. N. Orlov, R. V. Pleshakov, “Kinetic equation for simulation of non-stationary non-equidistant time-series”, Zhurnal SVMO, 20:1 (2018),  78–87  mathnet  elib 2
52. Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Chernoff iterations and their applications in quantum dynamics”, Trudy Mat. Inst. Steklova, 301 (2018),  209–218  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 301 (2018), 197–206  isi  elib  scopus 2
2017
53. Yu. V. Gaidamaka, Yu. N. Orlov, D. A. Molchanov, A. K. Samuylov, “Modeling the signal-to-interference ratio in a mobile network with moving devices”, Inform. Primen., 11:2 (2017),  50–58  mathnet  elib 5
54. A. A. Kislitsyn, A. B. Kozlova, E. L. Masherov, Yu. N. Orlov, “Numerical algorithm for self-consistent stationary level for multidimensional non-stationary time-series”, Keldysh Institute preprints, 2017, 124, 14 pp.  mathnet 2
55. L. A. Borisov, A. Yu. Ivchenko, N. A. Mitin, Yu. N. Orlov, “Classification of text information with the use of bigram analysis”, Keldysh Institute preprints, 2017, 106, 22 pp.  mathnet 2
56. E. A. Zabrodina, Yu. N. Orlov, V. O. Soloviev, N. M. Ovchinnikov, M. S. Kelner, “The model of electric initiation of detonation in a detonator channel”, Keldysh Institute preprints, 2017, 072, 17 pp.  mathnet 1
57. A. Yu. Ivchenko, A. B. Kozlova, M. B. Korsakova, E. L. Masherov, Yu. N. Orlov, A. A. Russkov, “Non-stationary analysis of electroencephalogram and disorder indicator construction”, Keldysh Institute preprints, 2017, 049, 19 pp.  mathnet
58. N. I. Bliankinshtein, Yu. N. Orlov, M. V. Rodkin, S. L. Fedorov, “On the estimation of stationary level of earthquake catalogs”, Keldysh Institute preprints, 2017, 040, 18 pp.  mathnet
59. Yu. N. Orlov, R. V. Pleshakov, “Numerical simulation of non-stationary non-equidistant time-series modeling”, Keldysh Institute preprints, 2017, 036, 15 pp.  mathnet
60. Yu. N. Orlov, S. A. Shilin, “Statistical text language recognition with the use of $n$-gram frequency”, Keldysh Institute preprints, 2017, 032, 21 pp.  mathnet
61. Yu. N. Orlov, Yu. A. Parfenova, “Ontological graph structure analysis for dictionary”, Keldysh Institute preprints, 2017, 031, 25 pp.  mathnet 2
62. Yu. N. Orlov, S. L. Fedorov, “Sample distribution function construction for non-stationary time-series forecasting”, Mat. Model., 29:5 (2017),  61–72  mathnet  elib 3
63. A. I. Aptekarev, M. A. Lapik, Yu. N. Orlov, “Asymptotic behavior of the spectrum of combination scattering at Stokes phonons”, TMF, 193:1 (2017),  84–103  mathnet  mathscinet  elib; Theoret. and Math. Phys., 193:1 (2017), 1480–1497  isi  scopus
2016
64. Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Unbounded random operators and Feynman formulae”, Izv. RAN. Ser. Mat., 80:6 (2016),  141–172  mathnet  mathscinet  zmath  elib; Izv. Math., 80:6 (2016), 1131–1158  isi  scopus 42
65. Yu. N. Orlov, S. L. Fedorov, “Functional distributions modeling over trajectories ensemble of non-stationary time series”, Keldysh Institute preprints, 2016, 101, 14 pp.  mathnet 2
66. E. A. Zabrodina, Yu. N. Orlov, V. O. Soloviev, N. M. Ovchinnikov, “On the models of detonation in a cylindrical channel”, Keldysh Institute preprints, 2016, 096, 17 pp.  mathnet 2
67. R. S. Kalmetev, Yu. N. Orlov, “Uncertainty analysis of deterministic models with Gaussian process approximation”, Keldysh Institute preprints, 2016, 091, 20 pp.  mathnet
68. A. A. Arutyunov, L. A. Borisov, D. A. Zeniuk, A. Yu. Ivchenko, E. P. Kirina-Lilinskaya, Yu. N. Orlov, K. P. Osminin, S. L. Fedorov, S. A. Shilin, “Statistical regularity of European languages and Voynich Manuscript analysis”, Keldysh Institute preprints, 2016, 052, 36 pp.  mathnet 6
69. A. Yu. Ivchenko, Yu. N. Orlov, “Practical aspects of pattern recognition”, Keldysh Institute preprints, 2016, 017, 20 pp.  mathnet 1
70. V. M. Chechetkin, V. F. Dyachenko, S. L. Ginzburg, Yu. N. Orlov, N. N. Fimin, “The modeling of collisionless ultrarelativistic electron–proton plasma dynamics in self–consistent electromagnetic field”, Keldysh Institute preprints, 2016, 012, 19 pp.  mathnet
71. E. P. Kirina-Lilinskaya, Yu. N. Orlov, S. L. Fedorov, “The basis patterns method for non-stationary time-series analysis”, Keldysh Institute preprints, 2016, 007, 20 pp.  mathnet 2
72. D. A. Zenyuk, L. V. Klochkova, Yu. N. Orlov, “Simulation of nonstationary random processes kinetic equations with fractional derivatives.”, Zhurnal SVMO, 18:2 (2016),  125–133  mathnet  elib 3
73. L. V. Klochkova, Yu. N. Orlov, S. A. Feodorov, “Modeling of a non-stationary trajectories ensemble using Fokker-Planck equation”, Zhurnal SVMO, 18:1 (2016),  126–134  mathnet  elib 3
74. S. L. Ginzburg, V. F. Dyachenko, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1635–1644  mathnet  elib; Comput. Math. Math. Phys., 56:9 (2016), 1611–1619  isi  scopus 4
2015
75. L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev, “Equivalence by Chernoff and evolution equations for density matrix and Wigner function for linear quantization”, Keldysh Institute preprints, 2015, 066, 28 pp.  mathnet
76. L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev, “Feynman formulas for averaging of semigroups, generating by the operators of Schrödinger type”, Keldysh Institute preprints, 2015, 057, 23 pp.  mathnet 6
77. Yu. V. Gaidamaka, E. R. Zaripova, Yu. N. Orlov, “Analysis of the impact the batch size distribution on parameters of the SIP-server queueing model with batch arrivals”, Keldysh Institute preprints, 2015, 027, 16 pp.  mathnet 1
78. A. A. Vlasyuk, Yu. N. Orlov, “Identification accuracy of sample distribution functions for time series depending on distribution type, norm and sample length”, Keldysh Institute preprints, 2015, 017, 25 pp.  mathnet 4
79. Yu. S. Malkova, Yu. N. Orlov, “Estimation of charged particles influence on the explosion of DT-target in thermonuclear reactor chamber”, Keldysh Institute preprints, 2015, 009, 20 pp.  mathnet
80. Yu. V. Gaidamaka, E. R. Zaripova, Y. N. Orlov, “Analyzing effects of SIP-messages batch arrival on queuing time for server processing”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2015, no. 3,  74–80  mathnet
81. N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Thermodynamic properties of vortex systems”, Mat. Model., 27:9 (2015),  81–88  mathnet  mathscinet  elib; Math. Models Comput. Simul., 8:2 (2016), 149–154  scopus 1
82. L. A. Borisov, Yu. N. Orlov, “Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription”, TMF, 184:1 (2015),  106–116  mathnet  mathscinet  elib; Theoret. and Math. Phys., 184:1 (2015), 986–995  isi  scopus 9
2014
83. Yu. N. Orlov, V. O. Soloviev, N. M. Ovchinnikov, V. V. Patsyuk, V. M. Suslin, “Shock wave propagation in detonator channel and optimization of parameters of initiation of explosion charges”, Keldysh Institute preprints, 2014, 105, 21 pp.  mathnet 3
84. A. D. Bosov, Yu. N. Orlov, S. L. Fedorov, “On the distribution of absolute values of returns for financial time series”, Keldysh Institute preprints, 2014, 096, 15 pp.  mathnet 4
85. Yu. N. Orlov, S. L. Fedorov, V. A. Davidko, “To the classification of non-stationary time series: RTS index composition”, Keldysh Institute preprints, 2014, 054, 18 pp.  mathnet 1
86. Yu. N. Orlov, S. L. Fedorov, “Modeling and statistical analysis of functional, defining on the sampling from non-stationary time series”, Keldysh Institute preprints, 2014, 043, 26 pp.  mathnet 6
87. M. H. Numan Elsheikh, J. O. Ogun, Yu. N. Orlov, R. V. Pleshakov, V. Zh. Sakbaev, “Averaging of random semigroups and the ambiguity of quantization of Hamiltonian systems”, Keldysh Institute preprints, 2014, 019, 28 pp.  mathnet 1
88. D. A. Zenyuk, Yu. N. Orlov, “On the application of Riemann–Liouville fractional calculus to the analysis of probability distributions”, Keldysh Institute preprints, 2014, 018, 21 pp.  mathnet 1
89. A. D. Bosov, R. S. Kalmetiev, Yu. N. Orlov, “Sample distribution function construction for non-stationary time-series forecasting”, Mat. Model., 26:3 (2014),  97–107  mathnet  elib 12
90. Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman formulas as a method of averaging random Hamiltonians”, Trudy Mat. Inst. Steklova, 285 (2014),  232–243  mathnet  elib; Proc. Steklov Inst. Math., 285 (2014), 222–232  isi  elib  scopus 41
2013
91. D. A. Zenyuk, N. A. Mitin, Yu. N. Orlov, “Random walks modeling on Cantor set”, Keldysh Institute preprints, 2013, 031, 18 pp.  mathnet 2
92. L. A. Borisov, Yu. N. Orlov, K. P. Osminin, “Identification of a text author by the letter frequency empirical distribution”, Keldysh Institute preprints, 2013, 027, 26 pp.  mathnet 3
93. A. V. Lebedev, Yu. N. Orlov, D. O. Shagov, “Optimal set length indicator for non-stationary time-series”, Keldysh Institute preprints, 2013, 017, 16 pp.  mathnet
94. Yu. N. Orlov, “Optimal histogram interval for non-stationary time-series distribution function density estimation”, Keldysh Institute preprints, 2013, 014, 26 pp.  mathnet 11
95. D. S. Kirillov, O. V. Korob, N. A. Mitin, Yu. N. Orlov, R. V. Pleshakov, “On the stationary distributions of the Hurst indicator for the non-stationary marked time series”, Keldysh Institute preprints, 2013, 011, 16 pp.  mathnet 5
96. A. D. Bosov, Yu. N. Orlov, “The non-stationary time series forecasting with the use of Fokker–Plank equation and evolution equations for momentum of empirical distribution function”, Keldysh Institute preprints, 2013, 003, 30 pp.  mathnet 4
97. D. S. Kirillov, L. V. Klochkova, Yu. N. Orlov, V. F. Tishkin, “Methodology of correlation coefficient calculation for non-stationary time series”, Zhurnal SVMO, 15:1 (2013),  8–15  mathnet 2
2012
98. J. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev, “On the data space transformation for initial Cauchy problem with blow-up solutions”, Keldysh Institute preprints, 2012, 087, 31 pp.  mathnet 4
99. O. Yu. Apolonsky, Yu. N. Orlov, “Analysis and comparison of long-term forecasts of the world energetic development. Part III”, Keldysh Institute preprints, 2012, 017, 26 pp.  mathnet
100. L. V. Klochkova, Yu. N. Orlov, V. F. Tishkin, “Mathematical modeling of correlation of the epidemic situation in the metropolitan areas on the air state”, Zhurnal SVMO, 14:1 (2012),  8–15  mathnet 5
101. Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian”, TMF, 172:1 (2012),  122–137  mathnet  mathscinet  elib; Theoret. and Math. Phys., 172:1 (2012), 987–1000  isi  elib  scopus 16
2011
102. Yu. N. Orlov, D. O. Shagov, “Indicative statistics for non-stationary time series”, Keldysh Institute preprints, 2011, 053, 20 pp.  mathnet 7
103. A. D. Bosov, Yu. N. Orlov, “The non-stationary time series modeling with the use of empirical Liouville equation and evolution equations for momentum”, Keldysh Institute preprints, 2011, 052, 28 pp.  mathnet 1
104. I. Yu. Bosova, Yu. N. Orlov, “The non-stationary model of break-even point for LNG project”, Keldysh Institute preprints, 2011, 051, 25 pp.  mathnet
105. Yu. N. Orlov, V. O. Soloviev, V. M. Suslin, N. M. Ovchinnikov, “The calculation of the shock wave parameters in the channel with various cross-section”, Keldysh Institute preprints, 2011, 027, 19 pp.  mathnet 4
2010
106. O. Yu. Apolonsky, Yu. N. Orlov, “Analysis and comparison of long-term forecasts of the world energetic development”, Keldysh Institute preprints, 2010, 058, 26 pp.  mathnet
107. V. V. Bitter, D. S. Kirillov, O. V. Korob, Yu. N. Orlov, A. A. Russkov, “The Method of Preliminary Processing of Non-Stationary Time Series”, Keldysh Institute preprints, 2010, 035, 24 pp.  mathnet
108. V. V. Bitter, D. S. Kirillov, O. V. Korob, Yu. N. Orlov, “Construction algorithm of sample distribution function statistics for stochastic processes”, Keldysh Institute preprints, 2010, 034, 24 pp.  mathnet
109. I. Yu. Bosova, Yu. N. Orlov, V. A. Sementsova, “Calculation of the economy efficiency factors for oil-gas projects in non-stationary external conditions scenario”, Keldysh Institute preprints, 2010, 019, 26 pp.  mathnet 1
110. M. M. Basko, S. A. Medin, Yu. N. Orlov, V. M. Suslin, “Through simulation of thermonuclear fusion and plasma expansion in the HIF reactor chamber”, Keldysh Institute preprints, 2010, 018, 36 pp.  mathnet 1
111. Yu. N. Orlov, V. M. Suslin, “Simulation of microexplosion influence on the reactor chamber for Z-pinch HIF concept”, Keldysh Institute preprints, 2010, 017, 23 pp.  mathnet
2009
112. M. V. Maslennikov, Yu. N. Orlov, “Comparison of perspective reactor chamber concepts for IFE”, Keldysh Institute preprints, 2009, 018, 24 pp.  mathnet
113. Yu. N. Orlov, V. O. Soloviev, V. M. Suslin, N. M. Ovchinnikov, “The modeling of explosion influence on energy accumulating media and reflector metal walls”, Keldysh Institute preprints, 2009, 014, 20 pp.  mathnet
2008
114. Yu. N. Orlov, Yu. P. Ivkina, “Generalization of the Kozlov–Poincaré diffusion theorem for the collisionless continuous medium”, Keldysh Institute preprints, 2008, 083, 12 pp.  mathnet
115. Yu. N. Orlov, K. P. Osminin, “Kinetic equations for forecasting of non-stationary time-series”, Keldysh Institute preprints, 2008, 047, 30 pp.  mathnet
116. Yu. N. Orlov, K. P. Osminin, “Методика определения оптимального объема выборки для прогнозирования нестационарного временного ряда”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2008, no. 3,  3–13  mathnet  elib
117. Yu. N. Orlov, K. P. Osminin, “Sample distribution function construction for non-stationary time-series forecasting”, Mat. Model., 20:9 (2008),  23–33  mathnet  mathscinet  zmath 11
2007
118. V. I. Subbotin, Yu. N. Orlov, V. I. Es'man, V. O. Soloviev, V. M. Suslin, B. D. Khristoforov, “Experimental and numerical investigations of X-ray impulse influence on the liquid wall of IFE reactor chamber”, Keldysh Institute preprints, 2007, 090, 18 pp.  mathnet 1
119. M. A. Lapik, Yu. N. Orlov, “On the logarithmic asymptotics of orthogonal measure for special polynomials in the problem of radiation scattering”, Keldysh Institute preprints, 2007, 082, 22 pp.  mathnet
120. Yu. N. Orlov, K. P. Osminin, “Analysis of non-stationary time-series”, Keldysh Institute preprints, 2007, 036, 22 pp.  mathnet 1
121. O. Yu. Apolonsky, Yu. N. Orlov, “Analysis and comparison of long-term forecasts of the world energetic development”, Keldysh Institute preprints, 2007, 026, 28 pp.  mathnet 2
2006
122. Yu. P. Ivkina, Yu. N. Orlov, “The kinetics of non-colliding medium”, Keldysh Institute preprints, 2006, 049, 12 pp.  mathnet
123. V. I. Subbotin, S. A. Medin, Yu. N. Orlov, A. L. Shimkevich, “Power plant characteristics for hybrid thermonuclear heavy ion fusion reactor”, Keldysh Institute preprints, 2006, 047, 28 pp.  mathnet 1
2004
124. S. A. Medin, Yu. N. Orlov, V. M. Suslin, “Calculation of first wall protecting layer vaporization for ITS reactor chamber”, Keldysh Institute preprints, 2004, 062, 26 pp.  mathnet 4
125. S. A. Medin, Yu. N. Orlov, A. N. Parshikov, V. M. Suslin, “Modeling the ITS reactor chamber and blanket response to micro-explosion”, Keldysh Institute preprints, 2004, 041, 30 pp.  mathnet 2
126. Yu. N. Orlov, “Analytical estimations of energy release optimization for hybrid DT-U238 target”, Keldysh Institute preprints, 2004, 030, 26 pp.  mathnet
2003
127. A. V. Klimenko, Yu. N. Orlov, “The optimization model of region heat supply system”, Keldysh Institute preprints, 2003, 088, 26 pp.  mathnet
128. V. A. Klimenko, Yu. N. Orlov, “The mathematical model of heat supply system”, Keldysh Institute preprints, 2003, 052, 26 pp.  mathnet
129. Yu. N. Orlov, V. M. Suslin, “Kinetic equations for some demography models”, Mat. Model., 15:3 (2003),  43–54  mathnet  zmath 1
130. Yu. N. Orlov, “Kinetic model of supercrisis heat transfer”, Mat. Model., 15:1 (2003),  59–68  mathnet  zmath
131. Yu. N. Orlov, “Derivation of the Hydrodynamic Equations in the Framework of the Bogoliubov Functional Hypothesis”, TMF, 134:3 (2003),  501–512  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 134:3 (2003), 439–449  isi
2002
132. Yu. N. Orlov, “The two-group model of migrant assimilation process”, Keldysh Institute preprints, 2002, 076  mathnet
133. Yu. N. Orlov, “The influence of medium motion in problems of neutron transport equation”, Keldysh Institute preprints, 2002, 071  mathnet
2001
134. A. V. Voronkov, Yu. N. Orlov, E. P. Sychugova, “Neutron transport equation in the moving medium”, Keldysh Institute preprints, 2001, 091  mathnet
135. T. S. Achromeeva, M. A. Kapustin, S. A. Kashchenko, P. V. Kurakin, G. G. Malinetskii, I. G. Medvedev, N. A. Mitin, Yu. N. Orlov, A. V. Podlazov, S. A. Posashkov, A. I. Rusakov, D. V. Serebryakov, S. A. Solov'ev, D. S. Chernavskii, “New researches in systems analysis and computation modeling of Russian educational strategy and politics”, Keldysh Institute preprints, 2001, 089  mathnet
136. Yu. N. Orlov, V. M. Suslin, “Kinetic equation for nonstationar civilization evolution models”, Keldysh Institute preprints, 2001, 053  mathnet
137. Yu. N. Orlov, V. M. Suslin, “The kinetic research for description of nonlinear demography processes”, Keldysh Institute preprints, 2001, 047  mathnet 1
2000
138. M. A. Galahov, Yu. N. Orlov, V. M. Suslin, “Mathematical Models of Life Guarantee. Part 2. The Demography”, Keldysh Institute preprints, 2000, 069  mathnet
139. M. A. Galahov, Yu. N. Orlov, “Mathematical Models of Life Guarantee. Part I. The Basic Methods”, Keldysh Institute preprints, 2000, 033  mathnet
1999
140. Yu. N. Orlov, V. M. Suslin, “Trajectories on a sphere that are generated by Lagrangians with higher-order derivatives”, Differ. Uravn., 35:12 (1999),  1624–1629  mathnet  mathscinet; Differ. Equ., 35:12 (1999), 1649–1654
141. Yu. N. Orlov, “Lenear Quantization of Dynamical Systems and Guatizational Kinetic Equations”, Keldysh Institute preprints, 1999, 014  mathnet 1
142. V. V. Vedenyapin, Yu. N. Orlov, “Conservation laws for polynomial Hamiltonians and for discrete models of the Boltzmann equation”, TMF, 121:2 (1999),  307–315  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 121:2 (1999), 1516–1523  isi 29
1998
143. Yu. N. Orlov, “Coherent States Representation for Non-Classical Commutation Relations”, Keldysh Institute preprints, 1998, 064  mathnet
1996
144. V. V. Vedenyapin, Yu. N. Orlov, “Asymptotics of the spectrum of quantum Hamiltonians”, Dokl. Akad. Nauk, 351:4 (1996),  444–447  mathnet  mathscinet  zmath 4
145. Yu. N. Orlov, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Higher Derivatives Dependence. Part 5. Nontrivial Spherical Trajectories”, Keldysh Institute preprints, 1996, 058  mathnet
1995
146. Yu. N. Orlov, “Hydrodynamic Equation of the Postgalilean Plasma”, Keldysh Institute preprints, 1995, 073  mathnet
147. M. V. Dikovsky, Yu. N. Orlov, “Eigenvalues of the Quantum Anharmonic Oscillator”, Keldysh Institute preprints, 1995, 046  mathnet
148. Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 4”, Keldysh Institute preprints, 1995, 043  mathnet
149. Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 3”, Keldysh Institute preprints, 1995, 042  mathnet
150. V. V. Vedenyapin, Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, A. S. Shumovsky, “Estimation of Eigenvalues in the Raman-Type Nonlinear Model”, Keldysh Institute preprints, 1995, 041  mathnet
1989
151. Yu. N. Orlov, I. P. Pavlotsky, “Post-Galileian equilibrium Bogolyubov chains”, Dokl. Akad. Nauk SSSR, 304:2 (1989),  329–332  mathnet  mathscinet; Dokl. Math., 34:1 (1989), 27–28 1
152. Yu. N. Orlov, I. P. Pavlotsky, “The equations of weakly-relativistic inviscid hydrodynamics”, Mat. Model., 1:12 (1989),  31–43  mathnet  mathscinet  zmath 1
1988
153. Yu. N. Orlov, I. P. Pavlotsky, “The connection between the weakly relativistic Vlasov and Wigner equations at various quantizations”, Dokl. Akad. Nauk SSSR, 298:4 (1988),  837–840  mathnet  mathscinet; Dokl. Math., 33:2 (1988), 103–104
154. P. S. Kondratenko, Yu. N. Orlov, “FORMATION OF SURFACE-STRUCTURES BEHIND THE LASER-EMISSION SPOT, ACTING UPON A SURFACE OF CONDENSED MEDIA”, Zhurnal Tekhnicheskoi Fiziki, 58:5 (1988),  985–987  mathnet
1987
155. P. S. Kondratenko, Yu. N. Orlov, “Formation of surface-structures by the laser-beam of a small diameter”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 13:14 (1987),  862–865  mathnet
2019
156. I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019),  111–113  mathnet

Presentations in Math-Net.Ru
1. О линейном квантовании и функции Вигнера
Yu. N. Orlov
International scientific conference “Infinite-dimensional analysis and mathematical physics” (IDAMPh 2025)
January 26, 2025 11:30   
2. Линейное квантование динамических систем и принцип соответствия
Yu. N. Orlov

May 22, 2024 12:40   
3. Перспективы энергетики на базе термоядерного синтеза
Yu. N. Orlov
All-Moscow regular scientific seminar "Control Theory and Optimization"
November 16, 2021 11:30
4. Evolution equation for the Wigner function for arbitrary linear quantization
Yu. N. Orlov
Scientific seminar on the differential and functional differential equations
September 28, 2021 12:00   
5. Approximation of Weyl quantization by linear one and generalized equation for evolution of Wigner function
Yu. N. Orlov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 2, 2021 16:55   
6. Об аппроксимации квантовых операторных функций с помощью теоремы Чернова
Yu. N. Orlov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 11, 2019 16:00   
7. Статистические свойства текстов на европейских языках и анализ Манускрипта Войнича
Yu. N. Orlov
All-Moscow regular scientific seminar "Control Theory and Optimization"
March 12, 2019 11:30
8. Statistical analysis in literature
Yu. N. Orlov
PreMoLab Seminar
February 28, 2013 17:00
9. Асимптотический анализ спектров квантовых гамильтонианов в моделях квантовой оптики
Yu. N. Orlov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 1, 2006

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