A. M. Chebotarev, “What is a quantum stochastic equation from the point of view of functional analysis?”, Math. Notes, 71:3–4 (2002), 408–427
A. M. Chebotarev, F. Fagnola, “Sufficient conditions for conservativity of quantum dynamical semigroups”, J. Funct. Anal., 118:1 (1993), 131–153
A. M. Chebotarev, F. Fagnola, “Sufficient conditions for conservativity of minimal quantum dynamical semigroups”, J. Funct. Anal., 153:2 (1998), 382–404
A. M. Chebotarev, “On stable Pareto laws in a hierarchical model of economy”, Physica A, 373 (2007), 541–559
A. M. Chebotarev, T. V. Tlyachev, “Normal Forms, Inner Products, and Maslov Indices of General Multimode Squeezing”, Mathematical Notes, 395:5 (2014), 721–737
G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1131–1136
2014
2.
T. V. Tlyachev, A. M. Chebotarev, A. S. Chirkin, “Canonical transformations and multipartite coupled parametric processes”, PHYSICA SCRIPTA T, 160 (2014), 014041
A. M. Chebotarev, A. E. Teretenkov, “Singular value decomposition for the Takagi factorization of symmetric matrices”, Applied Mathematics and Computation (New York), 234 (2014), 380–384 , Netherlands, Netherlands
T. V. Tlyachev, A. M. Chebotarev, A. S. Chirkin, “A new approach to quantum theory of multimode coupled parametric processes”, PHYSICA SCRIPTA T, 153 (2013), 014060
A. S. Chirkin, A. M. Chebotarev, T. V. Tlyachev, International Conference on Coherent and Nonlinear Optics (ICONO 2013). Technical digest, ICONO-03 Quantum and Atom Optics, ICONO/LAT 2013 Moskva, Rossiya, 2013
7.
A. S. Chirkin, A. M. Chebotarev, T. V. Tlyachev, ASMDA 2013, Book of Abstracts, ISAST (International Society for the Advancement of Science and Technology, 2013, 43–43
2012
8.
A. M. Chebotarev, A. E. Teretenkov, “Operator-Valued ODEs and Feynman's Formula”, Math. Notes, 92:6 (2012), 837–842
9.
A. M. Chebotarev, T. V. Tlyachev, A. A. Radionov, “Generalized Squeezed States and Multimode Factorization Formula”, Math. Notes, 92:5 (2012), 700–713
2011
10.
A. M. Chebotarev, T. V. Tlyachev, A. A. Radionov, “Squeezed States and Their Applications to Quantum Evolution”, Math. Notes, 89:4 (2011), 577–595
2010
11.
A. M. Chebotarev, Trudy 53-i nauchnoi konferentsii MFTI, Sovremennye problemy fundamentalnykh i prikladnykh nauk, 10, Izdatelskii sektor operativnoi poligrafii 141700, Moskovskaya obl., g. Dolgoprudnyi, Institutskii per., d. 9 Moskva, Dolgoprudnyi, 2010, 6–7
12.
A. A. Radionov, T. V. Tlyachev, A. M. Chebotarev, Vtoraya mezhdunarodnaya konferentsiya Matematicheskaya fizika i ee prilozheniya, Samarskii gosuniversitet i Matematicheskii in-t im.V.A.Steklova, Kniga publishers Samara, 2010, 274–276
2009
13.
A. M. Chebotarev, Vvedenie v teoriyu veroyatnostei i matematicheskuyu statistiku dlya fizikov, 250c. Moskva, FIZTEKh-POLIGRAF 141700 Moskovskaya obl., g. Dolgoprudnyi, Instritutskii per. 9, 2009 , 247 pp.
14.
V. I. Bogachev, V. S. Vladimirov, I. V. Volovich, B. S. Kashin, A. I. Kirillov, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. V. Uglanov, A. Yu. Khrennikov, A. M. Chebotarev, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 70th birthday)”, Russian Math. Surveys, 64:1 (2009), 183–185
2007
15.
A. M. Chebotarev, “On stable Pareto laws in a hierarchical model of economy”, Physica A: Statistical Mechanics and its Applications, 373 (2007), 541–559 , Netherlands, Netherlands
A. M. Chebotarev, Ekonofizika, Cb. statei pod red. V.V.Kharitonova i A.A.Ezhova,, Sovremennaya fizika v poiskakh ekonomicheskoi teorii, TROVANT Moskva, 2006, 434–470
17.
Yu. G. Kondrat'ev, A. M. Chebotarev, “Bernstein theorems and transformations of correlation measures in statistical physics”, Math. Notes, 79:5 (2006), 649–663
2005
18.
V. N. Baturin, V. P. Maslov, B. I. Sadovnikov, A. M. Chebotarev, “Gipoteza o zakone racpredeleniya vysokikh dokhodov i ego interpretatsiya”, Ekonomicheskaya nauka v sovremennoi Rossii, 31:4 (2005), 57–62
2004
19.
A. V. Polyakov, A. M. Chebotarëv, “Monte-Carlo method for the Schrödinger equation with a periodic asymmetric potential”, Comput. Math. Math. Phys., 44:10 (2004), 1807–1817
20.
A. M. Chebotarev, A. V. Polyakov, “Deviation Estimates for Random Walks and Stochastic Methods for Solving the Schrödinger Equation”, Math. Notes, 76:4 (2004), 564–577
2003
21.
A. M. Chebotarev, A. V. Tchourkin, G. V. Ryzhakov, A. M. Sinev, “A solvable model of gravitational wave detector and the standard quantum limit”, Russian Journal of Mathematical Physics, 10:2 (2003), 134–141 , Russian Federation, Russian Federation
22.
A. M. Chebotarev, “A Priori Estimates for Quantum Dynamical Semigroups”, Theoret. and Math. Phys., 134:2 (2003), 160–165
23.
A. M. Chebotarev, G. V. Ryzhakov, “On the Strong Resolvent Convergence of the Schrödinger Evolution to Quantum Stochastics”, Math. Notes, 74:5 (2003), 717–733
2002
24.
A. M. Chebotarev, S. Yu. Shustikov, “Conditions Sufficient for the Conservativity of a Minimal Quantum Dynamical Semigroup”, Math. Notes, 71:5 (2002), 692–710
25.
A. M. Chebotarev, “What Is a Quantum Stochastic Differential Equation from the Point of View of Functional Analysis?”, Math. Notes, 71:3 (2002), 408–427
2000
26.
A. M. Chebotarev, Lectures on quantum probability. Aportaciones Matematicas: Textos [Mathematical Contributions: Texts], 14, Sociedad Matematica Mexicana Mexico, 2000 , 292 pp.
27.
A. M. Chebotarev, J. C. Garcia, R. Quezada, Stochastic analysis and mathematical physics, Santiago, 1998, Trends in Mathematics, 23, Trends Math., Birkhauser Santiago, Boston, Boston, MA, 2000, 23–31
28.
V. P. Maslov, A. M. Chebotarev, “Limit theorems in new probability spaces associated with quantum statistics”, Dokl. Akad. Nauk SSSR (Russian), 373:2000 (2000), 311–315
1999
29.
V. P. Maslov, A. M. Chebotarev, “Markov evolution equations in quotient probability spaces”, Dokl. Akad. Nauk SSSR (Russian), 365:6 (1999), 745–749
30.
A. M. Chebotarev, V. P. Maslov, Stochastic processes, physics and geometry: New interpays, Leipzig, January 18-22, 1999, CMS Conf. Proc, 28, American Mathematical Society [Providence, R.I., etc.], United States, 1999, 65–83
31.
A. M. Chebotarev, V. P. Maslov, “On nonlinear evolution equations for occupancies”, Journal of Mathematical Sciences (New York), 105:2001 (1999), 2519–2533
32.
A. Chebotarev, V. Liebscher, “On relative boundedness in operator spaces”, Reports of Math.Phys, 44:3 (1999), 339–344
33.
A. M. Chebotarev, “Maslov probability spaces associated with the Bose–Einstein and Fermi–Dirac statistics”, Math. Notes, 65:5 (1999), 627–637
2000
34.
V. P. Maslov, A. M. Chebotarev, “An equation of the Kolmogorov–Feller type in a factorized probability space”, Theory Probab. Appl., 44:2 (2000), 309–318
1999
35.
A. M. Chebotarev, A. V. Churkin, “The quantum gravitational wave detector”, Matem. Mod., 11:8 (1999), 32–44
1998
36.
A. M. Chebotarev, Stochastic analysis and mathematical physics, Villa del Mar, 1996, World Sci. Publ River Edge, NJ, 1998, 42–54
37.
A. M. Chebotarev, F. Fagnola, “Sufficient conditions for conservativity of minimal quantum dynamical semigroups”, Journal of Functional Analysis, 153:2 (1998), 382–404 , United States, United States
V. P. Maslov, A. M. Chebotarev, “Logarithmic asymptotics of solutions of the large deviation problem for the Boltzmann equation with small transfer of momentum”, Math. Notes, 64:1 (1998), 63–81
1997
39.
A.M. Chebotarev, J.C. Garcia, R. Quezada, Recent Trends in Infinite Dimensional Non-Commutative Analysis, RIMS Kokyuroku, 1035, 1997, 44–65
40.
A. M. Chebotarev, J. C. Garcia, R. B. Quezada, “On the Lindblad equation with unbounded time-dependent coefficients”, Math. Notes, 61:1 (1997), 105–117
41.
A. M. Chebotarev, “The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation”, Math. Notes, 61:4 (1997), 510–518
1996
42.
A. M. Chebotarev, “Symmetric form of the Hudson-Parthasarathy stochastic equation”, Math. Notes, 60:5 (1996), 544–561
1995
43.
A. M. Chebotarev, “Logarithmic asymptotics for a solution of the Boltzmann evolution equation”, Matem. Mod., 7:12 (1995), 97–106
1994
44.
A.M. Chebotarev, “Applications of quantum probability to classical stochastics. Third Symposium on Probability Theory and Stochastic Processes”, Aportaciones Mat. Notas Investigacion, 11 (1994), 61–79
1995
45.
V. P. Maslov, A. M. Chebotarev, “Cluster expansions and second quantization”, Proc. Steklov Inst. Math., 203 (1995), 123–136
1994
46.
A. M. Chebotarev, “On the maximal $C^*$-algebra of zeros of completely positive mapping and on the boundary of a dynamic semigroup”, Math. Notes, 56:6 (1994), 1271–1282
1993
47.
A. M. Chebotarev, F. Fagnola, “Sufficient conditions for conservativity of quantum dynamical semigroups”, Journal of Functional Analysis, 118:1 (1993), 131–153 , United States, United States
A.M. Chebotarev, S.Yu. Dobrokhotov, A.I. Shafarevich, “An example of the diffusion approximation method as applied to the density function of a one-dimensional oscillator”, Russian Journal of Mathematical Physics, 1:3 (1993), 391–396 , Russian Federation, Russian Federation
1992
49.
A. M. Chebotarev, Quantum Probability and Related Topics, 7, World Sci. Publ River Edge, NJ, 1992, 79–91
A. M. Chebotarev, “Sufficient conditions of the conservatism of a minimal dynamical semigroup”, Math. Notes, 52:4 (1992), 1067–1077
1990
51.
A. A. Konstantinov, V. P. Maslov, A. M. Chebotarev, “Probability representations of solutions of the Cauchy problem for quantum mechanical equations”, Russian Math. Surveys, 45:5 (1990), 1–26
1989
52.
A. M. Chebotarev, Probability theory and mathematical statistics, 1, Mokslas, Vilnius Mokslas, Vilnius, 1989, 217–227
53.
A. M. Chebotarev, Stochastic methods in experimental sciences, Szklarska Poremba, World Sci. Publ River Edge, NJ, 1989, 79–95
54.
A. M. Chebotarev, “Sufficient conditions for dissipative dynamical semigroups to be conservative”, Theoret. and Math. Phys., 80:2 (1989), 804–818
1991
55.
A. M. Chebotarev, “Necessary and sufficient conditions for the conservativity of dynamical semigroups”, J. Soviet Math., 56:5 (1991), 2697–2719
1988
56.
A. M. Chebotarev, “Approximately complete sets of the generalized Feynman measure”, Dokl. Akad. Nauk SSSR (Russian), 298:1 (1988), 46–51
57.
A. M. Chebotarev, Stochastic methods in mathematics and physics, Karpacz, World Sci. Publ Teaneck, NJ, 1988, 96–106
58.
A. M. Chebotarev, “The fast Fourier transform in a problem with multiple grid-points”, U.S.S.R. Comput. Math. Math. Phys., 28:1 (1988), 180–183
59.
A. M. Chebotarev, “Asymptotic of nonclassical rapidly oscillating integrals”, Math. Notes, 44:2 (1988), 616–619
60.
A. M. Chebotarev, “Sufficient Conditions of Regularity of Jump Markov Processes”, Theory Probab. Appl., 33:1 (1988), 22–35
61.
A. A. Konstantinov, V. P. Maslov, A. M. Chebotarev, “Shift of the boundary conditions for partial differential equations”, U.S.S.R. Comput. Math. Math. Phys., 28:6 (1988), 111–121
62.
A. M. Chebotarev, “Approximately complete sets of the generalized Feynman measure”, Dokl. Math., 37:1 (1988), 46–51
1986
63.
V. P. Maslov, A. M. Chebotarev, “Drift of boundary conditions and uniqueness theorems for nonlinear boundary value problems”, Dokl. Akad. Nauk SSSR, 289:1 (1986), 47–51
1985
64.
V. R. Struletskaya, V. Yu. Subochev, A. M. Chebotarev, “A series of invariant characteristics of extremum and the logarithmic asymptotic of Laplace integrals”, Math. Notes, 37:4 (1985), 303–307
1983
65.
V. P. Maslov, A. M. Chebotarev, “On random fields corresponding to the BBGKY, Vlasov, and Boltzmann hierarchies”, Theoret. and Math. Phys., 54:1 (1983), 48–55
66.
A. M. Chebotarev, “Formula for the second term of the logarithmic asymptotic of Laplace integrals”, Math. Notes, 34:2 (1983), 620–625
67.
V. P. Maslov, A. M. Chebotarev, “Second term of the logarithmic asymptotics of path integrals”, J. Soviet Math., 23:5 (1983), 2580–2598
1980
68.
V. P. Maslov, A. M. Chebotarev, “Path integral over branching paths”, Theoret. and Math. Phys., 45:3 (1980), 1058–1069
69.
V. P. Maslov, A. M. Chebotarev, “Kontinualnyi integral po vetvyaschimsya traektoriyam”, Teoreticheskaya i matematicheskaya fizika, 34:2 (1980), 273–282
1978
70.
A. M. Chebotarev, V. P. Maslov, Lecture Notes in Phys, 106, Springer Marseille, Berlin-New York, 1978, 58–72
A. M. Chebotarev, “Representation of solution of the Schrödinger equation in the form of mathematical expectation of a functional of a transition process”, Math. Notes, 24:5 (1978), 873–877
1980
72.
V. P. Maslov, A. M. Chebotarev, “Jump-type processes and their applications in quantum mechanics”, J. Soviet Math., 13:3 (1980), 315–358
1977
73.
V. P. Maslov, A. M. Chebotarev, Proc. Second IMACS Internat. Sympos., Lehigh Univ, Advances in computer methods for partial differential equations, Bethlehem, Pa., IMACS, New Brunswick, N.J, 1977, 349–353
74.
A. M. Chebotarev, “$T$-maps connected with Hartree's equation”, Math. Notes, 21:5 (1977), 340–345
1976
75.
V. P. Maslov, A. M. Chebotarev, “Dfinition of the Feynman path integral in the $P$-representation”, Doklady Akademii nauk SSSR, 229:1 (1976), 37–38 , Russian Federation, Russian Federation
V. P. Maslov, A. M. Chebotarev, “Generalized measure in Feynman path integrals”, Theoret. and Math. Phys., 28:3 (1976), 793–805
1975
77.
V. P. Maslov, A. M. Chebotarev, “A representation of the solution of an equation of Hartree type in the form of a $T$-mapping”, Dokl. Akad. Nauk SSSR (Russian), 222:5 (1975), 1037–1040
78.
A. M. Chebotarev, “T-mappings and continual integrals”, Dokl. Akad. Nauk SSSR (Russian), 225:4 (1975), 763–766
79.
V. P. Maslov, A. M. Chebotarev, “Representation of the solution of an equation of Hartree type in the form of a $T$-mapping”, Dokl. Akad. Nauk SSSR, 222:5 (1975), 1037–1040
80.
A. M. Chebotarev, “$T$-mappings and functional integrals”, Dokl. Akad. Nauk SSSR, 225:4 (1975), 763–766
1974
81.
A. M. Chebotarev, Trudy MIEM, Asimpt. Metody v Teorii Uravn. s Tchastn. Proizvodnymi, 38, Moskov. Inst. Elektron. Mashinostroenija, 1974, 141–151
82.
A. M. Chebotarev, “The stationary phase method for nondifferentiable functions”, U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 210–214
83.
A. M. Chebotarev, “The extension of a non-Wiener quasi-measure to a complex measure on nonsmooth functionals”, Uspekhi Mat. Nauk, 29:3(177) (1974), 235–236
Presentations in Math-Net.Ru
1.
On the normal form of multimode squeezings A. M. Chebotarev, T. V. Tlyachev, A. E. Teretenkov, V. V. Belokurov International conference "QP 34 – Quantum Probability and Related Topics" September 17, 2013 12:00
2018
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