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
2.
V. Zh. Sakbaev, O. G. Smolyanov, “Lebesgue–Feynman measures on infinite dimensional spaces”, Internat. J. Theoret. Phys., 2020, 1–5
3.
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. RAN. Ser. Mat., 84:4 (2020), 79–109; Izv. Math., 84:4 (2020), 694–721
4.
V. Zh. Sakbaev, N. V. Tsoy, “Analogue of Chernoff theorem for cylindrical pseudomeasures”, Lobachevskii J. Math., 41:12 (2020), 2369–2382
5.
Yu. N. Orlov, V. Zh. Sakbaev, D. V. Zavadsky, “Operator random walks and quantum oscillator”, Lobachevskii J. Math., 41:4 (2020), 676–685
6.
K. Yu. Zamana, V. Zh. Sakbaev, O. G. Smolyanov, “Случайные процессы на группе ортогональных матриц и описывающие их эволюционные уравнения”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1741–1756
7.
A. D. Grekhneva, V. Zh. Sakbaev, “Dynamics of a set of quantum states generated by a nonlinear Liouville–von Neumann equation”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1383–1393; Comput. Math. Math. Phys., 60 (2020), 1337–1347
2019
8.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Randomizes hamiltonian mechanics”, Dokl. Akad. Nauk, 486:6 (2019), 635–658
9.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman Formulas and the Law of Large Numbers for Random One-Parameter Semigroups”, Tr. Mat. Inst. Steklova, 306 (2019), 210–226; Proc. Steklov Inst. Math., 306 (2019), 196–211
10.
D. V. Zavadsky, V. Zh. Sakbaev, “Diffusion on a Hilbert Space Equipped with a Shift- and Rotation-Invariant Measure”, Tr. Mat. Inst. Steklova, 306 (2019), 112–130; Proc. Steklov Inst. Math., 306 (2019), 102–119
2018
11.
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”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151 (2018), 73–90
12.
Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Chernoff iterations and their applications in quantum dynamics”, Tr. Mat. Inst. Steklova, 301 (2018), 209–218; Proc. Steklov Inst. Math., 301 (2018), 197–206
13.
I. V. Volovich, V. Zh. Sakbaev, “On quantum dynamics on $C^*$-algebras”, Tr. Mat. Inst. Steklova, 301 (2018), 33–47; Proc. Steklov Inst. Math., 301 (2018), 25–38
14.
V. Zh. Sakbaev, D. V. Zavadsky, “Shift-invariant measures on infinite-dimensional spaces: integrable functions and random walks”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:2 (2018), 384–391
15.
V. Zh. Sakbaev, O. G. Smolyanov, “Feynman calculus for random operator-valued functions and their applications”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:2 (2018), 373–383
2017
16.
V. Zh. Sakbaev, “Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 140 (2017), 88–118; Journal of Mathematical Sciences, 241:4 (2019), 469–500
17.
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
18.
V. Zh. Sakbaev, “Averaging of random walks and shift-invariant measures on a Hilbert space”, TMF, 191:3 (2017), 473–502; Theoret. and Math. Phys., 191:3 (2017), 886–909
2016
19.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Unbounded random operators and Feynman formulae”, Izv. RAN. Ser. Mat., 80:6 (2016), 141–172; Izv. Math., 80:6 (2016), 1131–1158
20.
V. Zh. Sakbaev, “On the law of large numbers for compositions of independent random semigroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 10, 86–91; Russian Math. (Iz. VUZ), 60:10 (2016), 72–76
2015
21.
G. G. Amosov, V. Zh. Sakbaev, “Geometric properties of systems of vector states and expansion of states in Pettis integrals”, Algebra i Analiz, 27:4 (2015), 1–14; St. Petersburg Math. J., 27:4 (2016), 589–597
22.
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.
23.
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.
24.
A. Yaakbarieh, V. Zh. Sakbaev, “Correctness of a problem with initial conditions for parabolic differential-difference equations with shifts of time argument”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 4, 17–25; Russian Math. (Iz. VUZ), 59:4 (2015), 13–19
25.
L. S. Efremova, V. Zh. Sakbaev, “Notion of blowup of the solution set of differential equations and averaging of random semigroups”, TMF, 185:2 (2015), 252–271; Theoret. and Math. Phys., 185:2 (2015), 1582–1598
2014
26.
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.
27.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman formulas as a method of averaging random Hamiltonians”, Tr. Mat. Inst. Steklova, 285 (2014), 232–243; Proc. Steklov Inst. Math., 285 (2014), 222–232
28.
I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Tr. Mat. Inst. Steklova, 285 (2014), 64–88; Proc. Steklov Inst. Math., 285 (2014), 56–80
2013
29.
V. Sakbaev, “On dynamical properties of a one-parameter family of transformations arising in averaging of semigroups”, CMFD, 48 (2013), 93–110; Journal of Mathematical Sciences, 202:6 (2014), 869–886
30.
G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Mat. Zametki, 93:3 (2013), 323–332; Math. Notes, 93:3 (2013), 351–359
31.
V. Zh. Sakbaev, “Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation”, Tr. Mat. Inst. Steklova, 283 (2013), 171–187; Proc. Steklov Inst. Math., 283 (2013), 165–180
32.
V. Zh. Sakbaev, “Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 159–171
2012
33.
V. Zh. Sakbaev, “Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations”, CMFD, 43 (2012), 3–172; Journal of Mathematical Sciences, 213:3 (2016), 287–459
34.
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.
35.
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
36.
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; Theoret. and Math. Phys., 172:1 (2012), 987–1000
2011
37.
V. Z. Sakbaev, “The set of quantum states and its averaged dynamic transformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 10, 48–58; Russian Math. (Iz. VUZ), 55:10 (2011), 41–50
38.
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 [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 200–220
2010
39.
V. Zh. Sakbaev, “Averaging of quantum dynamical semigroups”, TMF, 164:3 (2010), 455–463; Theoret. and Math. Phys., 164:3 (2010), 1215–1221
2009
40.
L. V. Korobenko, V. Zh. Sakbaev, “Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerating coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009), 1085–1102; Comput. Math. Math. Phys., 49:6 (2009), 1037–1053
2008
41.
V. Zh. Sakbaev, “Spectral Aspects of Regularization of the Cauchy Problem for a Degenerate Equation”, Tr. Mat. Inst. Steklova, 261 (2008), 258–267; Proc. Steklov Inst. Math., 261 (2008), 253–261
2007
42.
V. Zh. Sakbaev, “On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization”, CMFD, 21 (2007), 87–113; Journal of Mathematical Sciences, 153:5 (2008), 562–590
2006
43.
V. Zh. Sakbaev, “On the dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line”, Fundam. Prikl. Mat., 12:6 (2006), 157–174; J. Math. Sci., 151:1 (2008), 2741–2753
44.
V. Zh. Sakbaev, “Set-valued mappings specified by regularization of the Schrödinger equation with degeneration”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 683–699; Comput. Math. Math. Phys., 46:4 (2006), 651–665
2004
45.
V. Zh. Sakbaev, “On the Cauchy Problem for the Schrödinger Equation with Generator of Variable Type”, Differ. Uravn., 40:2 (2004), 229–241; Differ. Equ., 40:2 (2004), 241–255
46.
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”, Mat. Zametki, 76:3 (2004), 335–343; Math. Notes, 76:3 (2004), 315–322
47.
V. Zh. Sakbaev, “Functionals on solutions of the Cauchy problem for the Schrödinger
equation with degeneration on a half-line”, Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004), 1654–1673; Comput. Math. Math. Phys., 44:9 (2004), 1573–1591
2003
48.
V. V. Vlasov, V. Zh. Sakbaev, “Correct solvability of differential equations with aftereffect in the scale of Sobolev spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 4, 8–16; Russian Math. (Iz. VUZ), 47:4 (2003), 6–14
2002
49.
V. Zh. Sakbaev, “On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space”, Zh. Vychisl. Mat. Mat. Fiz., 42:11 (2002), 1700–1711; Comput. Math. Math. Phys., 42:11 (2002), 1636–1646
2001
50.
V. V. Vlasov, V. Zh. Sakbaev, “The Correct Solvability of Some Differential-Difference Equations in the Scale of Sobolev Spaces”, Differ. Uravn., 37:9 (2001), 1194–1202; Differ. Equ., 37:9 (2001), 1252–1260
51.
V. Zh. Sakbaev, “The Cauchy Problem for the Average Field Equation Describing a Model of a Magnetic Solid”, Mat. Zametki, 70:3 (2001), 434–445; Math. Notes, 70:3 (2001), 392–402
2000
52.
V. V. Vlasov, V. Zh. Sakbaev, “Well-Defined Solvability of Some Differential-Difference Equations in Sobolev Spaces”, Mat. Zametki, 68:6 (2000), 939–942; Math. Notes, 68:6 (2000), 794–797
1999
53.
V. Zh. Sakbaev, “On the well-posedness of the Cauchy problem for the mean field equations describing a solid magnet”, Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999), 970–988; Comput. Math. Math. Phys., 39:6 (1999), 933–950
1995
54.
P. E. Zhidkov, V. Zh. Sakbaev, “On the existence of a countable set of solutions of a certain nonlinear boundary value problem”, Differ. Uravn., 31:4 (1995), 630–640; Differ. Equ., 31:4 (1995), 585–593
1994
55.
P. E. Zhidkov, V. Zh. Sakbaev, “On a nonlinear ordinary differential equation”, Mat. Zametki, 55:4 (1994), 25–34; Math. Notes, 55:4 (1994), 351–357
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