Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Unbounded random operators and Feynman formulae”, Izv. Math., 80:6 (2016), 1131–1158 (cited: 26) (cited: 23)
2021
2.
V. M. Busovikov, D. V. Zavadsky, V. Zh. Sakbaev, “Quantum Systems with Infinite-Dimensional Coordinate Space and the Fourier Transform”, Proc. Steklov Inst. Math., 313 (2021), 27–40
3.
V. Zh. Sakbaev, O. G. Smolyanov, “Lebesgue–Feynman measures on infinite dimensional spaces”, Internat. J. Theoret. Phys., 60 (2021), 650–654 (cited: 1) ;
4.
J. E. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Random quantization of hamiltonian systems”, Dokl. RAN. Math. Inf. Proc. upr., 498:1 (2021), 31–36
2020
5.
V. M. Busovikov, V. Zh. Sakbaev, “Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups”, Izv. Math., 84:4 (2020), 694–721 (cited: 2) (cited: 1)
6.
A. D. Grekhneva, V. Zh. Sakbaev, Differential equations and dynamical systems, Collected papers, Tr. Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020 (to appear)
7.
A. D. Grekhneva, V. Zh. Sakbaev, “Dynamics of a set of quantum states generated by a nonlinear Liouville–von Neumann equation”, Comput. Math. Math. Phys., 60 (2020), 1337–1347 (cited: 1)
8.
V. M. Busovikov, V. Zh. Sakbaev, “Shift-Invariant Measures on Hilbert and Related Function Spaces”, J. Math. Sci., 249:6 (2020), 864–884
9.
V. M. Busovikov, V. Zh. Sakbaev, “Dirichlet Problem for Poisson Equation on the Rectangle in Infinite Dimensional Hilbert Space”, Appl. Math. Nonlinear Sci., 5:2 (2020), 329–344 (cited: 1) (cited: 1);
10.
Yu. N. Orlov, V. Zh. Sakbaev, D. V. Zavadsky, “Operator random walks and quantum oscillator”, Lobachevskii J. Math., 41:4 (2020), 676–685 (cited: 1) (cited: 2) (cited: 2);
11.
K. Yu. Zamana, V. Zh. Sakbaev, O. G. Smolyanov, “Stochastic processes on the group of orthogonal matrices and evolution equations describing them”, Comput. Math. Math. Phys., 60:10 (2020), 1686–1700 (cited: 2) (cited: 1)
12.
V. Zh. Sakbaev, N. V. Tsoy, “Analogue of Chernoff theorem for cylindrical pseudomeasures”, Lobachevskii J. Math., 41:12 (2020), 2369–2382 (cited: 1) (cited: 1);
2019
13.
D. V. Zavadsky, V. Zh. Sakbaev, “Diffusion on a Hilbert Space Equipped with a Shift- and Rotation-Invariant Measure”, Proc. Steklov Inst. Math., 306 (2019), 102–119 (cited: 3) (cited: 3)
14.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Randomizes hamiltonian mechanics”, Dokl. Akad. Nauk, 486:6 (2019), 635–658
15.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman Formulas and the Law of Large Numbers for Random One-Parameter Semigroups”, Proc. Steklov Inst. Math., 306 (2019), 196–211 (cited: 5) (cited: 4)
16.
L.S. Efremova, A.D. Grekhneva, V.Zh. Sakbaev., “Phase Flows Generated by Cauchy Problem for Nonlinear Schrödinger Equation and Dynamical Mappings of Quantum States”, Lobachevski Journal of Mathematics, 40:10 (2019), 1455-1469 (cited: 1) (cited: 1)
2018
17.
Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Chernoff Iterations and Their Applications in Quantum Dynamics”, Proc. Steklov Inst. Math., 301 (2018), 197–206
18.
I. V. Volovich, V. Zh. Sakbaev, “On Quantum Dynamics on $C^*$-Algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38 (cited: 7) (cited: 8)
19.
V. Zh. Sakbaev, “Transformation Semigroups of the Space of Functions That Are Square Integrable with respect to a Translation-Invariant Measure on a Banach Space”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 73–90
20.
V. Zh. Sakbaev, D. V. Zavadsky, “Shift-invariant measures on infinite-dimensional spaces: integrable functions and random walks”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 384–391
21.
V. Zh. Sakbaev, O. G. Smolyanov, “Feynman calculus for random operator-valued functions and their applications”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 160, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2018, 373–383 (cited: 1) (cited: 2)
2019
22.
V. Zh. Sakbaev, “Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations”, Journal of Mathematical Sciences, 241:4 (2019), 469–500 (cited: 11)
2017
23.
V. Zh. Sakbaev, I. V. Volovich, “Self-adjoint approximations of the degenerate Schrödinger operator”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 39–52 , arXiv: 1701.02777 (cited: 5) (cited: 6)
24.
V. Zh. Sakbaev, “Averaging of random walks and shift-invariant measures on a Hilbert space”, Theoret. and Math. Phys., 191:3 (2017), 886–909 (cited: 20) (cited: 20)
2016
25.
V. Zh. Sakbaev, “On the law of large numbers for compositions of independent random semigroups”, Russian Math. (Iz. VUZ), 60:10 (2016), 72–76 (cited: 7)
26.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Unbounded random operators and Feynman formulae”, Izv. Math., 80:6 (2016), 1131–1158 (cited: 26) (cited: 23)
27.
G. G. Amosov, V. Zh. Sakbaev, “Geometrical properties of systems of vector states and representing of states in the form of Pettis integrals”, St. Petersburg Math. J., 27:4 (2016), 589–597 (cited: 3) (cited: 2)
2015
28.
A. Yaakbarieh, V. Zh. Sakbaev, “Correctness of a problem with initial conditions for parabolic differential-difference equations with shifts of time argument”, Russian Math. (Iz. VUZ), 59:4 (2015), 13–19 (cited: 1)
29.
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, 66–28
30.
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, 57–23
31.
L. S. Efremova, V. Zh. Sakbaev, “Notion of blowup of the solution set of differential equations and averaging of random semigroups”, Theoret. and Math. Phys., 185:2 (2015), 1582–1598 (cited: 8) (cited: 8)
2014
32.
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, 19–28
33.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman formulas as a method of averaging random Hamiltonians”, Proc. Steklov Inst. Math., 285 (2014), 222–232 (cited: 28) (cited: 3) (cited: 3) (cited: 27)
34.
I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Proc. Steklov Inst. Math., 285 (2014), 56–80 (cited: 6) (cited: 2) (cited: 2) (cited: 7)
35.
V. Sakbaev, “On dynamical properties of a one-parameter family of transformations arising in averaging of semigroups”, Journal of Mathematical Sciences, 202:6 (2014), 869–886
2013
36.
G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Math. Notes, 93:3 (2013), 351–359 (cited: 1) (cited: 1)
37.
V. Zh. Sakbaev, “Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation”, Proc. Steklov Inst. Math., 283 (2013), 165–180 (cited: 6)
38.
V. Zh. Sakbaev, “Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 159–171
2016
39.
V. Zh. Sakbaev, “Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations”, Journal of Mathematical Sciences, 213:3 (2016), 287–459 (cited: 7)
2012
40.
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, 87–31
41.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian”, Theoret. and Math. Phys., 172:1 (2012), 987–1000 (cited: 8) (cited: 3) (cited: 3) (cited: 8)
42.
G. G. Amosov, V. Zh. Sakbaev, O. G. Smolyanov, “Linear and nonlinear liftings of states of quantum systems”, Russ. J. Math. Phys., 19:4 (2012), 417–427 (cited: 1) (cited: 1)
2011
43.
V. Z. Sakbaev, “The set of quantum states and its averaged dynamic transformations”, Russian Math. (Iz. VUZ), 55:10 (2011), 41–50 (cited: 3)
44.
V. Zh. Sakbaev, “On the dynamics of the quantum states set for a system with degenerated Hamiltonian”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(23) (2011), 200–220
2010
45.
V. Zh. Sakbaev, “Averaging of quantum dynamical semigroups”, Theoret. and Math. Phys., 164:3 (2010), 1215–1221 (cited: 6) (cited: 8)
2009
46.
L. V. Korobenko, V. Zh. Sakbaev, “Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerating coefficients”, Comput. Math. Math. Phys., 49:6 (2009), 1037–1053 (cited: 2) (cited: 3) (cited: 3) (cited: 3)
2008
47.
V. Zh. Sakbaev, “Spectral Aspects of Regularization of the Cauchy Problem for a Degenerate Equation”, Proc. Steklov Inst. Math., 261 (2008), 253–261 (cited: 9) (cited: 8)
48.
V. Zh. Sakbaev, “On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization”, Journal of Mathematical Sciences, 153:5 (2008), 562–590 (cited: 1)
49.
V. Zh. Sakbaev, “On the dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line”, J. Math. Sci., 151:1 (2008), 2741–2753 (cited: 2) (cited: 2) (cited: 3)
2006
50.
V. Zh. Sakbaev, “Set-valued mappings specified by regularization of the Schrödinger equation with degeneration”, Comput. Math. Math. Phys., 46:4 (2006), 651–665 (cited: 4) (cited: 4) (cited: 5)
2004
51.
G. G. Amosov, V. Zh. Sakbaev, “On Self-Adjoint Extensions of Schrödinger Operators Degenerating on a Pair of Half-Lines and the Corresponding Markovian Cocycles”, Math. Notes, 76:3 (2004), 315–322 (cited: 2)
52.
V. Zh. Sakbaev, “Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line”, Comput. Math. Math. Phys., 44:9 (2004), 1573–1591
53.
V. Zh. Sakbaev, “On the Cauchy Problem for the Schrödinger Equation with Generator of Variable Type”, Differ. Equ., 40:2 (2004), 241–255
2003
54.
V. V. Vlasov, V. Zh. Sakbaev, “Correct solvability of differential equations with aftereffect in the scale of Sobolev spaces”, Russian Math. (Iz. VUZ), 47:4 (2003), 6–14
2002
55.
V. Zh. Sakbaev, “On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space”, Comput. Math. Math. Phys., 42:11 (2002), 1636–1646
2001
56.
V. Zh. Sakbaev, “The Cauchy Problem for the Average Field Equation Describing a Model of a Magnetic Solid”, Math. Notes, 70:3 (2001), 392–402
57.
V. V. Vlasov, V. Zh. Sakbaev, “The Correct Solvability of Some Differential-Difference Equations in the Scale of Sobolev Spaces”, Differ. Equ., 37:9 (2001), 1252–1260
2000
58.
V. V. Vlasov, V. Zh. Sakbaev, “Well-Defined Solvability of Some Differential-Difference Equations in Sobolev Spaces”, Math. Notes, 68:6 (2000), 794–797 (cited: 1)
1999
59.
V. Zh. Sakbaev, “On the well-posedness of the Cauchy problem for the mean field equations describing a solid magnet”, Comput. Math. Math. Phys., 39:6 (1999), 933–950
1995
60.
P. E. Zhidkov, V. Zh. Sakbaev, “On the existence of a countable set of solutions of a certain nonlinear boundary value problem”, Differ. Equ., 31:4 (1995), 585–593
1994
61.
P. E. Zhidkov, V. Zh. Sakbaev, “On a nonlinear ordinary differential equation”, Math. Notes, 55:4 (1994), 351–357 (cited: 3)
Workshop 9. Quantum Mathematical Physics V. Zh. Sakbaev Seminar by I. V. Volovich, V. V. Kozlov, S. V. Kozyrev and A. S. Trushechkin "Quantum Mathematical Physic" May 13, 2020
Квантовая динамика и $C^*$-алгебры I. V. Volovich, V. Zh. Sakbaev International Conference of Mathematical Physics dedicated to the memory of academician V. S. Vladimirov November 9, 2017 11:00
2016
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