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Department of Mathematical Physics

| Seminars | History of the Department | Research Directions | Main Results | Books written by the Department's members | Publications |
Department of Mathematical Physics
Staff
Volovich Igor Vasil'evich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Head of Department
office: 435; tel.: +7 (495) 984 81 41 * 37 81; e-mail: volovich@mi.ras.ru
Principal fields of research: Mathematical physics. p-Adic analysis. Including mathematical problems in quantum field theory. String theory. Gravity. Quantum information. Quantum optics.
Volovich Igor Vasil'evich
Gushchin Anatolii Konstantinovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 434; tel.: +7 (495) 984 81 41 * 39 34; e-mail: akg@mi.ras.ru
Principal fields of research: Boundary-value problems for differential equations
Gushchin Anatolii Konstantinovich
Drozhzhinov Yurii Nikolaevich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 433; tel.: +7 (495) 984 81 41 * 37 80; e-mail: drozzin@mi.ras.ru
Principal fields of research: Generalized functions. Integral transforms in distributions spaces. Fourier analysis. Laplace transform. Operational calculi. Differentional equations.
Drozhzhinov Yurii Nikolaevich
Zharinov Viktor Viktorovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 433; tel.: +7 (495) 984 81 41 * 37 80; e-mail: zharinov@mi.ras.ru
Principal fields of research: Complex analysis. Hyperfunctions. Integral representations. Algebraic and geometric methods in partial differential equations. Mathematical methods in quantum theory.
Zharinov Viktor Viktorovich
Katanaev Mikhail Orionovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 428; tel.: +7 (495) 984 81 41 * 36 62; e-mail: katanaev@mi.ras.ru
Principal fields of research: Ddifferential geometry. Gravity models. Geometric theory of defects.
Katanaev Mikhail Orionovich
Kozyrev Sergei Vladimirovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 428; tel.: +7 (495) 984 81 41 * 39 12; e-mail: kozyrev@mi.ras.ru
Principal fields of research: Ultrametric and p-adic analysis and applications in physics and biology, quantum probability and applications in physics, stochastic limit of quantum theory.
Kozyrev Sergei Vladimirovich
Marchuk Nikolai Gur'evich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 434; tel.: +7 (495) 984 81 41 * 39 12; e-mail: nmarchuk@mi.ras.ru
Personal page: http://www.mi.ras.ru/~nmarchuk
Principal fields of research: Relativistic equations of quandum physics. Dirac equation. Yang–Mills equation. Einstein equation. Clifford algebras and differential forms.
Marchuk Nikolai Gur'evich
Trushechkin Anton Sergeevich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 429; tel.: +7 (495) 984 81 41 * 36 62; e-mail: trushechkin@mi.ras.ru
Principal fields of research: Foundations of statistical mechanics and kinetics, Loschmidt's paradox, quantum dynamics in bounded domains, quantum cryptography.
Trushechkin Anton Sergeevich

Dezin Aleksei Alekseevich (23.04.1923 – 4.03.2008)

Doctor Phys.-Math. Sci.

Principal fields of research: Partial differential equations. Functional analysis. Discrete models.
Mikhailov Valentin Petrovich (15.12.1930 – 07.07.2014)

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher

Principal fields of research: Boundary-value problems for partial differential equations. Stabilization of solutions for non-stationary problems and the behaviour of solutions near the boundary.
Mikhailov Valentin Petrovich  (15.12.1930 – 07.07.2014)
Vladimirov Vasilii Sergeevich (9.01.1923 – 3.11.2012)

Doctor Phys.-Math. Sci., Academician of RAS

Principal fields of research: Equations and models of mathematical physics. Distributions. Functions of several complex variables. Many-dimentional tauberian theory. $p$-Adic analysis. Number theory. Numerical methods. Quantum field theory.
Vladimirov Vasilii Sergeevich  (9.01.1923 – 3.11.2012)
Zavialov Boris Ivanovich (18.12.1946 – 31.07.2012)

Doctor Phys.-Math. Sci., Professor

Principal fields of research: Generalized functions. Integral transforms. Differential equations. Tauberian theorems. Complex analysis.
Zavialov Boris Ivanovich (18.12.1946 – 31.07.2012)
Top
Seminars
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
Seminar Chairman: I. V. Volovich; Seminar Secretary: M. O. Katanaev
Steklov Mathematical Institute of RAS, Room 430 (8 Gubkina)
Complex analysis and mathematical physics
Seminar Chairmen: A. G. Sergeev; A. V. Domrin
Steklov Mathematical Institute, Room 430 (8 Gubkina)
Seminar Chairman: A. K. Gushchin; Seminar Secretary: V. V. Zharinov
Mathematical problems of quantum theory of nanosystems and photosynthesis
Top
History of the Department

The Department of Mathematical Physics was founded in 1969 by Academician of the USSR Academy of Sciences Prof. V.S.Vladimirov. The first research staff of the Department included several members from the Department of Theoretical Physics (S.S.Khoruzhii and B.M.Stepanov) and from the Department of Differential Equations (V.P.Mikhailov, A.A.Dezin, V.N.Maslennikova, V.S.Vinogradov, and PhD student A.K.Gushchin) of the Steklov Mathematical Institute. In 1970 the Laboratory of Partial Differential Equations was founded in the Department under the direction of V.P.Mikhailov.

Now the research staff of the Department includes 10 permanent researchers: Corresponding Member of the Russian Academy of Sciences Prof. I. V. Volovich (Head of the Department), Professors Yu. N. Drozhzhinov, A. K. Gushchin, M. O. Katanaev, S. V. Kozyrev, N. G. Marchyuk, A. N. Pechen, A. G. Sergeev, V. V. Zharinov, and Dr. A. S. Trushechkin. PhD student: N. B. Il'in.

Top
Research Directions

The main current research directions at the Department are the following:

  • P-adic mathematical physics (V. S. Vladimirov, I. V. Volovich, S. V. Kozyrev, E. I. Zelenov),
  • Quantum information and theory of open quantum systems (I. V. Volovich, S. V. Kozyrev, A. N. Pechen, A. S. Trushechkin),
  • Boundary value problems for equations of mathematical physics, including non-local equations (V. S. Vladimirov, A. K. Gushchin, V. P. Mikhailov),
  • Multidimensional complex analysis, multidimensional and one-dimensional Tauberian theory for distributions (Yu. N. Drozhzhinov, B. I. Zavialov),
  • Applications of the multidimensional complex analysis to quantum field theory and gauge field theory (A. G. Sergeev, R. V. Palvelev),
  • Algebro-geometric approach to differential equations (V. V. Zharinov),
  • Gravity models and the geometric theory of defects (M. O. Katanaev),
  • Mathematical models in biology (I. V. Volovich, S. V. Kozyrev),
  • Equations of relativistic field theory, Dirac equation, Clifford algebras (N. G. Marchyuk),
  • Kinetic theory and non-equilibrium processes, Loschmidt's paradox, quantum mechanics in bounded domains, mathematical theory of nanosystems (I. V. Volovich, S. V. Kozyrev, A. N. Pechen, A. S. Trushechkin),
  • Quantum control (A. N. Pechen).

Top
Main Results

The most fundamental results obtained by the Department's members include:

  • Proof and application in the axiomatic field theory of the Bogolyubov-Vladimirov 'finite covariance' theorem (N. N. Bogolyubov, V. S. Vladimirov);
  • Proof of the theorem on the C-convex hull (V. S. Vladimirov);
  • Development of p-adic mathematical physics, including p-adic quantum mechanics and p-adic string theory (V. S. Vladimirov, I. V. Volovich, S. V. Kozyrev, E. I. Zelenov);
  • Derivation of necessary and sufficient conditions for automodel asymptotic in quantum field theory (N. N. Bogolyubov, V. S. Vladimirov);
  • Development of Tauberian theory for distributions of many variables (V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavialov);
  • Development of the geometric theory of defects in solids (I. V. Volovich, M. O. Katanaev);
  • Construction of the master field describing the limit of the large gauge group in gauge theory (I. V. Volovich);
  • Construction of new solutions of non-linear partial differential equations of supergravity. Estimation of the probability of the creation of black holes and wormholes in the high energy scattering of particles (I. V. Volovich);
  • Derivation of a necessary and sufficient condition for the existence of a mean square limit at the boundary of solutions of linear second-order ellyptic differential equations (V. P. Mikhailov);
  • Proof of the theorems on the stabilization and quasistabilization for long times of the solutions of boundary value problems for linear parabolic and hyperbolic second-order differential equations (A. K. Gushchin, V. P. Mikhailov);
  • Proof of a compact version of the extended future tube conjecture (A. G. Sergeev, jointly with German mathematician P. Heinzner). Later a student of A. G. Sergeev, Chinese mathematician Zhou Xiangyu proved this conjecture in the general setting;
  • Twistor quantization of loop spaces of compact Lie groups (A. G. Sergeev, some results were obtained jointly with A. Popov and Bulgarian mathematician J. Davidov) and quantization of the universal Teichmueller space (A. G. Sergeev);
  • Mathematical description of the adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations (A. G. Sergeev);
  • Unification and extension in terms of a special functional space of the fundamental properties (such as belonging to a corresponding local Sobolev space and Holder continuity) of generalized solutions of linear second-order elliptic equations with measurable and bounded coefficients. Derivation of global estimates for the solution of the Dirichlet problem with a quadratically integrable boundary function which describe its behavior near the boundary (A. K. Gushchin);
  • Classification of global solutions of equations for two-dimensional gravity (M. O. Katanaev);
  • Construction of a deductive scheme of quantum mechanics on a line (A. A. Dezin);
  • Development of the theory of p-adic wavelets and applications of p-adic analysis in the theory of spin glasses and other complex systems (S. V. Kozyrev);
  • Generalization of the Dirac equation possessing an additional symmetry with respect to the pseudo-unitary, symplectic, or spinor group (N. G. Marchyuk);
  • Derivation of equations for higher order corrections to the stochastic weak coupling limit of open quantum systems (I. V. Volovich and A. N. Pechen);
  • Development of a quantum white noise technique for the analysis of the low density limit for open quantum systems (A. N. Pechen, in part jointly with L. Accardi and I. V. Volovich);
  • Proof of the existence of second order traps for a wide class of quantum control systems (A. N. Pechen and D. J. Tannor).

Top
Books written by the Department's members

V. S. Vladimirov
Mathematical Problems of the Uniform-Speed Theory of Transport (in Russian).
Moscow, Izdat. Akad. Nauk SSSR, 1961, 158 pp. (Trudy Mat. Inst. Steklov., Vol. 61)
V. S. Vladimirov
Methods in the Theory of Functions of Several Complex Variables (in Russian).
Moscow, Nauka, 1964, 411 pp.
V. S. Vladimirov
Equations of Mathematical Physics (in Russian).
Moscow, Nauka, 1967, 436 pp.
Ibid., 2nd ed., Recasted and revised, Moscow, Nauka, 1971, 512 pp.
Ibid., 3rd ed., Moscow, Nauka, 1976, 527 pp.
Ibid., 4th ed., Edited and extended, Moscow, Nauka, 1981, 512 pp.
Ibid., 5th ed., Extended, Moscow, Nauka, 1988, 512 pp.
V. S. Vladimirov
Generalized Functions in Mathematical Physics (in Russian).
Moscow, Nauka, 1976, 280 pp. (in series Current Problems in Physics and Technology)
Ibid., 2nd ed., Extended and revised, Moscow, Nauka, 1979, 318 pp.
V. S. Vladimirov
Methods of the Theory of Generalized Functions (in English).
London, Taylor & Francis, 2002, 311 pp. ISBN 0415273560.
V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov
P-adic Analysis and Mathematical Physics (in Russian).
Moscow, Nauka, Fiz. Mat. Lit., 1994, 352 pp.
V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov
P-adic Analysis and Mathematical Physics (in English).
World Scientific Pub Co Inc, 1995, 456 pp. ISBN 9810208804.
V. S. Vladimirov, Yu. N. Drozhzhinov, and B. I. Zav'yalov
Multidimensional Tauberian Theorems for Generalized Functions (in Russian).
Moscow, Nauka, 1986, 304 pp.
V. S. Vladimirov, Yu. N. Drozhzhinov, and B. I. Zav'yalov
Tauberian Theorems for Generalized Functions (in English).
Springer, 1988, 308 pp. ISBN 9027723834.
V. S. Vladimirov and V. V. Zharinov
Equations of Mathematical Physics. Textbook (in Russian).
Moscow, Fiz. Mat. Lit., 2000, 399 pp.
V. S. Vladimirov, V. P. Mikhailov, et al.
Collected Problems on Equations of Mathematical Physics. Textbook (in Russian).
Moscow, Nauka, 1974, 272 pp.
Ibid., 2nd ed., Extended and revised, Moscow, Nauka, 1982, 256 pp.
Ibid., 3rd ed., Revised, Moscow, Fiz. Mat. Lit., 2001, 288 pp.
V. S. Vladimirov (Editor)
A collection of Problems on the Equations of Mathematical Physics (in English).
Springer, 1986, 288 pp. ISBN 3540166475.
L. Accardi, Y. G. Lu, I. V. Volovich
Quantum Theory and Its Stochastic Limit (in English).
Berlin, Springer-Verlag, 2002.
M. Ohya, I. V. Volovich
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems (in English).
Springer, 2011.
A. A. Dezin
Invariant Differential Operators and Boundary Value Problems (in Russian).
Moscow, Izdat. Akad. Nauk SSSR, 1962, 88 pp. (Trudy Mat. Inst. Steklov, vol. 68)
A. A. Dezin
General Questions of the Theory of Boundary Value Problems (in Russian).
Moscow, Nauka, 1980, 207 pp.
A. A. Dezin
Multidimensional analysis and discrete models (in Russian).
Moscow, Nauka, 1990, 238 pp.
A. A. Dezin
Differential Operator Equations: A Method of Model Operators in the Theory of Boundary Value Problems (in Russian).
Moscow, Nauka, 2000, 175 pp. (Trudy Mat. Inst. Steklov., Vol. 229).
V. V. Zharinov
Distributive Lattices and their Applications in Complex Analysis (in Russian).
Moscow, Nauka, 1983, 80 pp. (Trudy Mat. Inst. Steklov., 162)
V. V. Zharinov
Lecture Notes on Geometrical Aspects of Partial Differential Equations (in English).
Singapore, World Scientific, 1992. 360 pp. (Ser. on Soviet and East-European Mathematics; Vol. 9)
N. G. Marchuk
Fields Theory Equations and Clifford Algebras (in Russian).
RHD, Moscow-Izhevsk, 302 pages, 2009.
V. P. Mikhailov
Partial Differential Equations. Textbook (in Russian).
Moscow, Nauka, 1976, 391 pp.
Ibid., 2nd ed., Recasted and revised, Moscow, Nauka, 1983, 424 pp.
A. G. Sergeev
Kahler Geometry of Loop Spaces.
Moscow, MCCME, 2001, 128 pp. (Ser. Modern Mathematical Physics, Problems and Methods, Vol. 4)
A. G. Sergeev
Kahler Geometry of Loop Spaces (Nagoya Math. Lectures, vol. 7) (in English).
Nagoya, Nagoya Univ., 2008. 226  pp.
A. G. Sergeev
Kahler Geometry of Loop Spaces (MSJ Memoirs, 23) (in English).
Tokyo, Mathematical Society of Japan, 2010. 212 pp. ISBN: 978-4-931469-60-0.
A. G. Sergeev
Vortices and Seiberg–Witten equations (Nagoya Math. Lect., vol. 5) (in English).
Nagoya, Nagoya Univ., 2002. 87 pp.
A. V. Domrin, A. G. Sergeev
Lectures on Complex Analysis. Part I.
Steklov Mathematical Institute, Moscow, 2004. ISBN: 5-98419-007-9, http://www.mi.ras.ru/books/pdf/ser1.pdf
A. V. Domrin, A. G. Sergeev
Lectures on Complex Analysis. Part II.
Steklov Mathematical Institute, Moscow, 2004. ISBN: 5-98419-008-7, http://www.mi.ras.ru/books/pdf/ser2.pdf
S. S. Khoruzhii
Introduction to Algebraic Quantum Field Theory.
Moscow, Nauka, 1986, 304 pp.
S. V. Kozyrev
Methods and applications of ultrametric and p-adic analysis: from wavelet theory to biophysics.
Modern Problems of Mathematics, 12, Steklov Math. Inst., Russian Academy of Sciences, Moscow, 2008, 170 pp.

Recent publications

| by years | scientific publications | by types |


1. I. Ya. Aref'eva, O. V. Inozemtsev, I. V. Volovich, “Holographic control of information and dynamical topology change for composed open quantum systems”, TMF (to appear)  mathnet

   2018
2. A. K. Guschin, “Integral ploschadei Luzina i nekasatelnaya maksimalnaya funktsiya dlya reshenii ellipticheskogo uravneniya vtorogo poryadka”, Matem. sb., 209 (2018) (to appear)  mathnet [A. K. Gushchin, “The nontangential maximal function and the Lusin area integral for solutions of a second order elliptic equation”, Mat. Sb. (to appear)]

   2017
3. 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  mathnet  crossref  isi  scopus
4. B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov, “p-Adic Mathematical Physics: The First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121 , arXiv: 1705.04758  mathnet  crossref  isi  scopus (cited: 1)
5. I. Ya. Aref'eva, G. S. Djordjevic, A. Yu. Khrennikov, S. V. Kozyrev, Z. Rakic, I. V. Volovich, “p-Adic mathematical physics and B. Dragovich research”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 82–85  mathnet  crossref  isi  scopus (cited: 1)
6. S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in nonequilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021 (to appear) , 18 pp.  mathnet
7. M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
8. M. O. Katanaev, “Normal coordinates in affine geometry”, Physics and mathematics, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159, no. 1, Kazan University, Kazan, 2017, 47–63  mathnet  isi  elib
9. M. O. Katanaev, “Chern–Simons term in the geometric theory of defects”, Phys. Rev. D, 96 (2017), 84054 , 8 pp.  mathnet  crossref  isi  scopus
10. V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
11. V. V. Zharinov, “On Hamiltonian operators in differential algebras”, TMF, 193:3 (2017) (to appear)  mathnet
12. A. S. Trushechkin, “On general production of entropy in open Markov quantum systems”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 82–98  mathnet
13. E. A. Markevich, A. S. Trushechkin, “Quantum branch-and-bound algorithm and its application to the travelling salesman problem”, Quantum computing, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 138, VINITI, Moscow, 2017, 60–75  mathnet
14. Anton Trushechkin, “Semiclassical evolution of quantum wave packets on the torus beyond the Ehrenfest time in terms of Husimi distributions”, J. Math. Phys., 58:6 (2017), 62102 , 16 pp., arXiv: 1607.07572  mathnet  crossref  mathscinet  isi  scopus
15. A. S. Trushechkin, P. A. Tregubov, E. O. Kiktenko, Y. V. Kurochkin, A. K. Fedorov, Quantum key distribution protocol with pseudorandom bases, 2017 , 16 pp., arXiv: 1706.00611
16. E. O. Kiktenko, N. O. Pozhar, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, Y. V. Kurochkin, A. I. Lvovsky, A. K. Fedorov, Quantum-secured blockchain, 2017 , 8 pp., arXiv: 1705.09258
17. E. O. Kiktenko, N. O. Pozhar, A. V. Duplinskiy, A. A. Kanapin, A. S. Sokolov, S. S. Vorobey, A. V. Miller, V. E. Ustimchik, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, V. L. Kurochkin, Y. V. Kurochkin, A. K. Fedorov, Demonstration of a quantum key distribution network across urban fiber channels, 2017 , 5 pp., arXiv: 1705.07154
18. E. O. Kiktenko, A. S. Trushechkin, A. K. Fedorov, Symmetric blind information reconciliation and hash-function-based verification for quantum key distribution, 2017 , 4 pp., arXiv: 1705.06664
19. A. S. Trushechkin, E. O. Kiktenko, A. K. Fedorov, “Practical issues in decoy-state quantum key distribution based on the central limit theorem”, Phys. Rev. A, 96:2 (2017) , 7 pp., arXiv: 1702.08531  mathnet  crossref  isi
20. E. O. Kiktenko, N. O. Pozhar, A. V. Duplinskiy, A. A. Kanapin, A. S. Sokolov, S. S. Vorobey, A. V. Miller, V. E. Ustimchik, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, V. L. Kurochkin, Yu. V. Kurochkin, A. K. Fedorov, “Demonstration of a quantum key distribution network in urban fibre-optic communication lines”, Quantum Electron., 47:9 (2017), 798–802  mathnet  crossref  isi  elib  scopus
21. A.S. Trushechkin, P.A. Tregubov, E.O. Kiktenko, Y.V. Kurochkin, A.K. Fedorov, Quantum key distribution protocol with pseudorandom bases, 2017 , 16 pp., arXiv: 1706.00611
22. E. O. Kiktenko, A. S. Trushechkin, S. S. W. Lim, Y. V. Kurochkin, A. K. Fedorov, “Symmetric blind information reconciliation for quantum key distribution”, Physical Review Applied, 8 (2017), 44017 , 12 pp.  mathnet  crossref  scopus

   2016
23. A. K. Gushchin, “$L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equation”, Sb. Math., 207:10 (2016), 1384–1409  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)
24. Yu. N. Drozhzhinov, “Multidimensional Tauberian theorems for generalized functions”, Russian Math. Surveys, 71:6 (2016), 1081–1134  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
25. Igor V. Volovich, “Cauchy–Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light”, Phys. Lett. A, 380:1 (2016), 56–58  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 2)  elib (cited: 2)  scopus
26. A. S. Trushechkin, I. V. Volovich, “Perturbative treatment of inter-site couplings in the local description of open quantum networks”, EPL, 113:3 (2016), 30005 , 6 pp., arXiv: 1509.05754  mathnet (cited: 5)  crossref  isi (cited: 5)  elib  scopus (cited: 5)
27. S. V. Kozyrev, I. V. Volovich, Dark states in quantum photosynthesis, 2016 , 12 pp., arXiv: 1603.07182
28. Irina Aref'eva, Igor Volovich, Holographic photosynthesis, 2016 , 36 pp., arXiv: 1603.09107
29. I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Proc. Steklov Inst. Math., 294 (2016), 241–251  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus (cited: 1)
30. S. V. Kozyrev, “Model of protein fragments and statistical potentials”, P-Adic Numbers Ultrametric Anal. Appl., 8:4 (2016), 325–337 , arXiv: 1504.03940  mathnet  crossref  isi  scopus (cited: 1)
31. S.V. Kozyrev, A.A. Mironov, A.E. Teretenkov, I.V. Volovich, Flows in nonequilibrium quantum systems and quantum photosynthesis, 2016 , 16 pp., arXiv: 1612.00213
32. A. N. Nekrasov, A. A. Zinchenko, D. M. Karlinskii, S. V. Kozyrev, “Metod issledovaniya ierarkhicheskikh elementov v prirodnykh aminokislotnykh posledovatelnostyakh”, Uspekhi sovremen. estestvozn., 2016, no. 11, 242–248  mathnet  elib
33. M. O. Katanaev, Geometrical methods in mathematical physics, Manuscript in Russian. Extended version of lectures delivered at the Academic Educational Center at Steklov Mathematical Institute during seven semesters, 2016 , xvi+1570 pp., arXiv: 1311.0733v3
34. M. O. Katanaev, “Rotational elastic waves in a cylindrical waveguide with wedge dislocation”, J. Phys. A, 49:8 (2016), 85202 , 8 pp.  mathnet  crossref  isi  elib  scopus (cited: 1)
35. M. O. Katanaev, “Killing vector fields and a homogeneous isotropic universe”, Phys. Usp., 59:7 (2016), 689–700  mathnet  crossref  crossref  isi  elib  scopus (cited: 2)
36. V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  scopus (cited: 3)
37. N.G. Marchuk, D.S. Shirokov, “General solutions of one class of field equations”, Rep. Math. Phys., 78:3 (2016), 305–326 , arXiv: 1406.6665  mathnet  crossref  isi (cited: 1)  scopus (cited: 2)
38. N. G. Marchuk, D. S. Shirokov, “Constant solutions of Yang-Mills equations and generalized Proca equations”, 42, 2016, 53–72, arXiv: 1611.03070  mathnet  crossref  scopus (cited: 1)
39. Evgeny Kiktenko, Anton Trushechkin, Yury Kurochkin, Aleksey Fedorov, “Post-processing procedure for industrial quantum key distribution systems”, JPCS, 741:1 (2016), 12081 , 6 pp.  mathnet  crossref  isi (cited: 5)  elib  scopus (cited: 5)

   2015
40. M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 2, Lekts. Kursy NOC, 26, Steklov Math. Institute of RAS, Moscow, 2015 , 186 pp.  mathnet  mathnet  crossref  elib
41. M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 1, Lekts. Kursy NOC, 25, Steklov Math. Institute of RAS, Moscow, 2015 , 176 pp.  mathnet  mathnet  crossref  elib
42. A. K. Gushchin, “V.A. Steklov's Work on Equations of Mathematical Physics and Development of His Results in This Field”, Proc. Steklov Inst. Math., 289 (2015), 134–151  mathnet  crossref  crossref  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus
43. A. K. Gushchin, “On the Dirichlet problem for an elliptic equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:1 (2015), 19–43  mathnet  crossref  rsci  elib
44. A. K. Gushchin, “Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation”, Sb. Math., 206:10 (2015), 1410–1439  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 1)
45. Yu. N. Drozhzhinov, B. I. Zavialov, “Comparison Tauberian theorems and hyperbolic operators with constant coefficients”, Ufa Math. Journal, 7:3 (2015), 47–53  mathnet  crossref  mathscinet  elib  scopus (cited: 2)
46. I. V. Volovich, “Functional stochastic classical mechanics”, P-Adic Numbers Ultrametric Anal. Appl., 7:1 (2015), 56–70  mathnet (cited: 1)  crossref  mathscinet  zmath  elib  scopus (cited: 2)
47. I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev, “Stochastic limit method and interference in quantum many-particle systems”, Theoret. and Math. Phys., 183:3 (2015), 782–799  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
48. L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Fermionic Meixner classes, Lie algebras and quadratic hamiltonians”, Indian J. Pure Appl. Math., 46:4 (2015), 517–538 , arXiv: 1411.4607  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
49. S. Iriyama, M. Ohya, I. V. Volovich, “On quantum algorithm for binary search and its computational complexity”, Open Syst. Inf. Dyn., 22:3 (2015), 1550019 , 9 pp.  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 3)
50. A. Khrennikov, S. Kozyrev, A. Månsson, “Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 18:2 (2015), 1550013 , 16 pp., arXiv: 1312.7528  mathnet  crossref  mathscinet (cited: 1)  zmath  isi (cited: 2)  elib (cited: 1)  scopus (cited: 2)
51. S. V. Kozyrev, “Ultrametricity in the theory of complex systems”, Theoret. and Math. Phys., 185:2 (2015), 1665–1677  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus (cited: 1)
52. M. O. Katanaev, “Rotational elastic waves in double wall tube”, Phys. Lett. A, 379:24–25 (2015), 1544–1548 , arXiv: 1503.01759  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
53. M. O. Katanaev, “Lorentz Invariant Vacuum Solutions in General Relativity”, Proc. Steklov Inst. Math., 290 (2015), 138–142  mathnet  crossref  crossref  isi (cited: 2)  elib  elib  scopus (cited: 2)
54. M. O. Katanaev, “On homogeneous and isotropic universe”, Mod. Phys. Lett. A, 30:34 (2015), 1550186 , 5 pp., arXiv: 1511.00991  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 2)
55. V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
56. N. G. Marchuk, “Demonstration Representation and Tensor Products of Clifford Algebras”, Proc. Steklov Inst. Math., 290 (2015), 143–154  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
57. N. G. Marchuk, “Yadernyi reaktor s zhidkometallicheskim teplonositelem dlya podvodnykh lodok”, O rabotakh G. I. Marchuka po raschetam yadernykh reaktorov, Nash Marchuk, Kniga “Nash Marchuk” - eto dan pamyati Guriyu Ivanovichu, iskrenne vyrazhennaya ego kollegami, uchenikami i blizkimi., ISBN 978-5-7692-1444-8, eds. V.P.Ilin, A.K.Lavrova, A.G.Marchuk, N.A.Pritvits, Ya.I.Fet., Izd-vo SO RAN, Novosibirsk, 2015, 183-187 http://sibran.ru/catalog/FM/165098/
58. N. G. Marchuk, “O moem ottse”, Nash Marchuk, Kniga “Nash Marchuk” – eto dan pamyati Guriyu Ivanovichu, iskrenne vyrazhennaya ego kollegami, uchenikami i blizkimi, ISBN 978-5-7692-1444-8, eds. V. P. Ilin, A. K. Lavrova, A. G. Marchuk, N. A. Pritvits, Ya. I. Fet, Izd-vo SO RAN, Novosibirsk, 2015, 176-182 , 428 pp. http://sibran.ru/catalog/FM/165098/
59. A. Pechen, A. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316 , 15 pp., arXiv: 1506.08323  mathnet  crossref  isi (cited: 4)  elib (cited: 2)  scopus (cited: 4)

   2014
60. Yu. N. Drozhzhinov, B. I. Zavialov, “Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter group”, Proc. Steklov Inst. Math., 285 (2014), 99–119  mathnet  crossref  crossref  isi  elib  elib  scopus
61. S. V. Kozyrev, I. V. Volovich, “Quinary lattice model of secondary structures of polymers”, Phys. A, 393 (2014), 86–95 , arXiv: 1206.4424  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
62. A. Khrennikov, B. Nilsson, S. Nordebo, I. Volovich, “Photon flux and distance from the source: consequences for quantum communication”, Found. Phys., 44:4 (2014), 389–405 , arXiv: 1309.5492  mathnet  crossref  crossref  crossref  crossref  crossref  crossref  mathscinet  mathscinet  mathscinet  mathscinet  mathscinet  mathscinet  mathscinet  mathscinet  mathscinet  mathscinet  zmath  isi (cited: 3)  elib (cited: 2)  scopus (cited: 3)
63. I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Proc. Steklov Inst. Math., 285 (2014), 56–80  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)
64. I. Ya. Aref'eva, I. V. Volovich, “On a model of quantum field theory”, Proc. Steklov Inst. Math., 285 (2014), 30–33  mathnet  crossref  crossref  isi  elib  scopus
65. S. V. Kozyrev, A. Yu. Khrennikov, V. M. Shelkovich, “$p$-adic wavelets and their applications”, Proc. Steklov Inst. Math., 285 (2014), 157–196  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
66. S. V. Kozyrev, “Cluster networks and Bruhat–Tits buildings”, Theoret. and Math. Phys., 180:2 (2014), 958–966  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
67. M. O. Katanaev, “Passing the Einstein–Rosen bridge”, Mod. Phys. Lett. A, 29:17 (2014), 1450090 , 7 pp., arXiv: 1310.7390  mathnet  crossref  mathscinet  zmath  isi  scopus
68. V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131  mathnet  crossref  crossref  isi  elib  elib  scopus
69. V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
70. N. Marchuk, “Nonlinear generalization of the Dirac equation”, Theoretical Physics and its Applications, Selected contributions at the 3rd International Conference on Theoretical Physics (Moscow, June 24–28, 2013), eds. T. F. Kamalov, MIPT, M., 2014, 180–182 , arXiv: 1307.6452
71. N. G. Marchuk, “On a field equation generating a new class of particular solutions to the Yang–Mills equations”, Proc. Steklov Inst. Math., 285 (2014), 197–210  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus
72. A. S. Trushechkin, “Microscopic solutions of kinetic equations and the irreversibility problem”, Proc. Steklov Inst. Math., 285 (2014), 251–274  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
73. A. S. Trushechkin, “Microscopic and soliton-like solutions of the Boltzmann–Enskog and generalized Enskog equations for elastic and inelastic hard spheres”, Kinetic and Related Models, 7:4 (2014), 755–778 , arXiv: 1307.4741  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus

   2013
74. A. K. Gushchin, “$L_p$-estimates for solutions of second-order elliptic equation Dirichlet problem”, Theoret. and Math. Phys., 174:2 (2013), 209–219  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
75. A. K. Guschin, “$L_p$-otsenki nekasatelnoi maksimalnoi funktsii dlya reshenii ellipticheskogo uravneniya vtorogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 53–69  mathnet (cited: 1)  crossref  rsci
76. Yu. N. Drozhzhinov, B. I. Zavialov, “Generalized functions asymptotically homogeneous with respect to one–parametric group at origin”, Ufa Mathematical Journal, 5:1 (2013), 17–35  mathnet  crossref  mathscinet  elib
77. Yu. N. Drozhzhinov and B. I. Zav'yalov, “Asymptotically homogeneous solutions of differential equations whose symbols are polynomials quasi-homogeneous with respect to one-parameter groups with generators containing a nilpotent component”, Dokl. Math., 88:2 (2013), 590–592  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
78. V. P. Mikhailov, “On the existence of boundary values of solutions of elliptic equations”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 16–24  mathnet  crossref  rsci
79. V. S. Vladimirov, “Nonexistence of solutions of the $p$-adic strings”, Theoret. and Math. Phys., 174:2 (2013), 178–185  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
80. I. Ya. Aref'eva, I. V. Volovich, “Holographic thermalization”, Theoret. and Math. Phys., 174:2 (2013), 186–196  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
81. K. Mayuzumi, N. Watanabe, I. V. Volovich, “On construction of quantum logical gate based on ESR”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 297–304  mathnet  crossref  adsnasa  rsci  elib
82. I. Ya. Aref'eva, E. V. Piskovskiy, I. V. Volovich, “Oscillations and rolling for Duffing's equation”, Quantum Bio-Informatics V, 5th International Conference of Quantum Bio-Informatics (QBIC) (March 07–14, 2011), QP-PQ: Quantum Probability and White Noise Analysis, 30, eds. L. Accardi, W. Freudenberg, M. Ohya, Tokyo Univ Sci., Quantum Bio Informat Ctr., Tokyo, Japan, 2013, 37–48  crossref  isi
83. A. Yu. Khrennikov, S. V. Kozyrev, K. Oleschko, A. G. Jaramillo, M. de Jesus Correa Lopez, “Application of p-adic analysis to time series”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16:4 (2013), 1350030 , 15 pp., arXiv: 1312.3878  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 8)
84. M. O. Katanaev, “Point massive particle in general relativity”, Gen. Rel. Grav., 45:10 (2013), 1861–1875 , arXiv: 1207.3481  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 6)  scopus (cited: 6)
85. V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
86. N. Marchuk, “Tensor products of Clifford algebras”, Dokl. Math., 87:2 (2013), 185–188  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
87. A. S. Trushechkin, “On a rigorous definition of microscopic solutions of the Boltzmann–Enskog equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 270–278  mathnet  crossref  rsci
88. A. S. Trushechkin, “Functional mechanics and kinetic equations”, Quantum Bio-Informatics V (Tokyo University of Science, Japan, 5–12 March 2011), QP-PQ: Quantum Probability and White Noise analysis, 30, World Scientific, Singapore, 2013, 339–350  crossref  isi (cited: 1)

   2012
89. A. K. Gushchin, “The Dirichlet problem for a second-order elliptic equation with an $L_p$ boundary function”, Sb. Math., 203:1 (2012), 1–27  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 2)
90. A. K. Gushchin, “Estimates of the nontangential maximal function for solutions of a second-order elliptic equation”, Dokl. Math., 86:2 (2012), 667–669  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
91. Yu. N. Drozhzhinov, B. I. Zavialov, “Distributions asymptotically homogeneous along the trajectories determined by one-parameter groups”, Izv. Math., 76:3 (2012), 466–516  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus
92. Yu. N. Drozhzhinov, B. I. Zavialov, “Homogeneous Generalized Functions with Respect to One-Parametric Group”, p-Adic Numbers, Ultrametric Analysis and Applications, 4:1 (2012), 64–75  mathnet  crossref  mathscinet (cited: 1)  zmath  scopus (cited: 2)
93. Yu. N. Drozhzhinov, “Obobschennye funktsii, asimptoticheski odnorodnye otnositelno odnoparametricheskoi gruppy”, Tretya mezhdunarodnaya nauchnaya konferentsiya «Matematicheskoe modelirovanie i differentsialnye uravneniya» (Brest, Belorussiya, 17–22 sentyabrya 2012 g.), BrGU, Brest, 2012, 87
94. Yu. N. Drozhzhinov, B. I. Zavyalov, “O suschestvovanii asimptoticheski odnorodnykh reshenii differentsialnykh uravnenii”, Tretya mezhdunarodnaya konferentsiya «Matematicheskaya fizika i ee prilozheniya» (Rossiya, g. Samara, 27 avgusta – 1 sentyabrya 2012 g.), Samarskii gosudarstvennyi tekhnicheskii universitet, 2012, 121–122
95. V. P. Mikhailov, “Existence of boundary values of solutions of elliptic equations in a strip”, Sb. Math., 203:1 (2012), 60–74  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
96. V. S. Vladimirov, “Scale-invariant asymptotic (automodel) behavior in quantum field theory”, Theoret. and Math. Phys., 170:1 (2012), 97–99  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
97. I. V. Volovich, A. S. Trushechkin, “Asymptotic properties of quantum dynamics in bounded domains at various time scales”, Izv. Math., 76:1 (2012), 39–78  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
98. I. Ya. Aref'eva, I. V. Volovich, E. V. Piskovskiy, “Rolling in the Higgs model and elliptic functions”, Theoret. and Math. Phys., 172:1 (2012), 1001–1016  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
99. I. Ya. Aref'eva, I. V. Volovich, “Asymptotic expansion of solutions in a rolling problem”, Proc. Steklov Inst. Math., 277 (2012), 1–15  mathnet  crossref  mathscinet  mathscinet  isi  elib  scopus
100. S. V. Kozyrev, I. V. Volovich, Quinary lattice model of secondary structures of proteins, 2012 , arXiv: 1206.4424
101. A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Distance Dependence of Entangled Photons in Waveguides”, Foundations of Probability and Physics - 6, AIP Conf. Proc., 1424, American Institute of Physics, 2012, 262-269  mathnet  crossref  isi (cited: 5)  scopus (cited: 7)
102. A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Quantization of propagating modes in optical fibres”, Physica Scripta, 85:6 (2012), 065404 , 7 pp.  mathnet  crossref  zmath  isi (cited: 4)  scopus (cited: 7)
103. S. Albeverio, S. V. Kozyrev, “Clustering by hypergraphs and dimensionality of cluster systems”, p-Adic Numbers, Ultrametric Analysis and Applications, 4:3 (2012), 167–178 , arXiv: 1204.5952  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
104. S. Albeverio, S. V. Kozyrev, Lattice model of protein conformations, 2012 , arXiv: 1207.7317
105. S. V. Kozyrev, Classification by ensembles of neural networks, 2012 , arXiv: 1202.4170
106. M. O. Katanaev, I. G. Mannanov, “Wedge dislocations, three-dimensional gravity, and the Riemann–Hilbert problem”, Phys. Part. Nucl., 43 (2012), 639–643  mathnet  crossref  isi  elib  scopus
107. M. O. Katanaev, I. G. Mannanov, “Wedge dislocations and three-dimensional gravity”, p-Adic Numb. Ultramet. Anal. Appl., 4:1 (2012), 5–19  mathnet  crossref  crossref  mathscinet  zmath  scopus
108. V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, Theoret. and Math. Phys., 170:3 (2012), 263–273  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
109. V. V. Zharinov, “Cohomologies of spaces of Schwartz distributions”, Theoret. and Math. Phys., 172:1 (2012), 879–884  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
110. N. Marchuk, Field theory equations, Amazon, CreateSpace, 2012 , 290 pp.
111. N. G. Marchuk, D. S. Shirokov, Vvedenie v teoriyu algebr Klifforda, Fazis, Moskva, 2012 , 590 pp.
112. N. Marchuk, “Generalized exterior algebras”, Ukr. J. Phys., 57:4 (2012), 422–425 , arXiv: 1103.5313  mathnet  elib  scopus
113. A. S. Trushechkin, “Derivation of the particle dynamics from kinetic equations”, p-Adic Numbers, Ultrametic Analysis and Applications, 4:2 (2012), 130–142 , arXiv: 1201.3607  mathnet  crossref  mathscinet (cited: 1)  zmath  adsnasa  scopus (cited: 1)

   2011
114. A. K. Gushchin, “The estimates of the solution of the Dirichlet problem with boundary function from $L_p$ for a second-order elliptic equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 53–67  mathnet  crossref  rsci  elib
115. A. K. Gushchin, “Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from $L_p$”, Dokl. Math., 83:2 (2011), 219–221  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
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119. I. Ya. Aref'eva, I. V. Volovich, “On nonlocal cosmological equations on half-line”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 16–27  mathnet  crossref  rsci  elib
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127. A. Yu. Khrennikov, S. V. Kozyrev, “$p$-Adic integral operators in wavelet bases”, Dokl. Math., 83:2 (2011), 209–212  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
128. S. V. Kozyrev, A. Yu. Khrennikov, “Multidimensional $p$-adic metric and genetic code”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 113–117  mathnet  crossref  rsci  elib
129. A. Yu. Khrennikov, S. V. Kozyrev, “Genetic code and deformation of the 2-dimensional 2-adic metric”, P-Adic Numbers Ultrametric Anal. Appl., 3:2 (2011), 165–168  crossref  mathscinet
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131. M. O. Katanaev, “Simple proof of the adiabatic theorem”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 99–107  mathnet  crossref  rsci  elib
132. M. O. Katanaev, “Adiabatic theorem for finite dimensional quantum mechanical systems”, Russian Phys. J., 2011, no. 3, 342–353 , arXiv: 0909.0370  crossref  mathscinet  adsnasa  isi  elib (cited: 3)  elib (cited: 3)  scopus (cited: 2)
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136. N. G. Marchuk, “Dirac–Yang–Mills model equations with a spinor gauge symmetry”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 118–123  mathnet  crossref  rsci  elib
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141. A. S. Trushechkin, “Boltzmann equation and $H$-theorem in the functional formulation of classical mechanics”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 158–164  mathnet  crossref  rsci  elib
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