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Borisov, Denis Ivanovich

Total publications: 174 (173)
in MathSciNet: 113 (112)
in zbMATH: 66 (66)
in Web of Science: 108 (108)
in Scopus: 139 (139)
Cited articles: 131
Citations: 1452
Presentations: 9

Number of views:
This page:8003
Abstract pages:18498
Full texts:6602
References:2564
Borisov, Denis Ivanovich
Doctor of physico-mathematical sciences (2008)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 18.07.1978
E-mail:
Website: https://borisovdi.narod.ru
Keywords: small parameter, perturbation, asymptotics, homogenization, spectrum, non-self-adjoint operator, band spectrum, eigenvalue.
UDC: 517.956, 517.956.226, 517.956.8, 517.958:621.372.8, 517.958:531.34, 517.958, 517.984, 519.63
MSC: 35J05, 35J10, 34E05, 34E10, 34E13, 34E15, 47F05, 47N50, 35P20

Subject:

homogenization theory, spectral theory, asymptotic analysis.

   
Main publications:
  • D. I. Borisov. Asimptotiki i otsenki sobstvennykh elementov Laplasiana s chastoi neperiodicheskoi smenoi granichnykh uslovii // Izvestiya RAN. Seriya matematicheskaya. 2003. T. 67. No. 6. C. 23-70
  • D. Borisov. Asymptotic behaviour of the spectrum of a waveguide with distant perturbation // Mathematical Physics, Analysis and Geometry. 2007. V. 10. No. 2. P. 155-196.
  • D.I. Borisov. O spektre dvumernogo periodicheskogo operatora s malym lokalizovannym vozmuscheniem // Izvestiya RAN. Seriya matematicheskaya. 2011. T. 75. # 3. S. 29-64.
  • D.I. Borisov, K.V. Pankrashkin. Otkrytie lakun i rasscheplenie kraev zon dlya volnovodov, soedinennykh periodicheskoi sistemoi malykh okon // Matematicheskie zametki. 2013. T. 93, # 5. S. 665-683.
  • D. Borisov. The spectrum of two quantum layers coupled by a window // Journal of Physics A: Mathematical and Theoretical. 2007. V. 40. No. 19. P. 5045-5066.

https://www.mathnet.ru/eng/person12021
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/653553

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. D. I. Borisov, A. L. Piatnitski, E. A. Zhizhina, “Non-local convolution type operators with potential: essential and infinite discrete spectrum”, Mathematical Models in the Applied Sciences (to appear)
2. D. I. Borisov, D. M. Polyakov, “Spectral asymptotics for nonlocal one–dimensional Schroedinger operator with Neumann condition and translation in free term”, Lobachevskii Journal of Mathematics (to appear)
3. D. I. Borisov, R. R. Suleimanov, “On operator estimates for elliptic equations in multi-dimensional domains with strongly curved boundary”, Mat. Sb. (to appear)  mathnet

   2025
4. S. V. Dmitriev, D. Xiong, D. I. Borisov, M. G. Velarde, “The effect of nonlinearity on the efficiency of a thermal rectifier in the form of a junction of two chains”, The European Physical Journal Special Topics, 2025 (to appear)
5. D. I. Borisov, D. M. Polyakov, “Spectral asymptotics for the one-dimensional Schrodinger operator on an interval with a shift in the free term and the Dirichlet boundary condition”, Izv. RAN. Ser. Mat., 89:3 (2025) (to appear)  mathnet

   2024
6. D. I. Borisov, “Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: strange term”, Mathematical Models in the Applied Sciences, 2024 (to appear) , arXiv: 2205.09490  crossref 3
7. D. I. Borisov, “Operator estimates for non-periodically perforated domains: disappearance of cavities”, Applicable Analysis, 103:5 (2024), 859–873  crossref  isi  scopus 3
8. D. I. Borisov, D. A. Zezyulin, “On perturbation of thresholds in essential spectrum under the coincidence of virtual level and spectral singularity”, Russian Journal of Mathematical Physics, 31:1 (2024), 321–341  crossref
9. D. I. Borisov, R. R. Suleimanov, “On operator estimates for elliptic operators with mixed boundary conditions in two-dimensional domains with rapidly oscillating boundary”, Math. Notes, 116:2 (2024), 182–199  mathnet  crossref  crossref  scopus
10. D. I. Borisov, “Geometric approximation of point interactions in three-dimensional domains”, Mathematics, 12:7 (2024), 1031 , 26 pp.  crossref
11. D.I. Borisov, R.R. Suleimanov, “Operator estimates for problems in domains with singular curved boundary: Dirichlet and Neumann conditions”, Doklady Mathematics, 109:1 (2024), 6–11  crossref  crossref
12. D.I. Borisov, R.R. Suleimanov, “Operator estimates for problems in domains with singular curved boundary: Dirichlet and Neumann conditions”, Doklady Mathematics, 109:1 (2024), 6–11  crossref  crossref
13. D. I. Borisov, D. M. Polyakov, “Uniform spectral asymptotics for Schroedinger operator on segment with delta-interaction”, Russian Journal of Mathematical Physics, 31:2 (2024), 149–161  crossref
14. D. I. Borisov, A. A. Fedotov., “On the point spectrum of a non-self-adjoint quasiperiodic operator”, Russian Journal of Mathematical Physics, 31:3 (2024), 389–406  crossref
15. D. I. Borisov, D. M. Polyakov, “Asymptotics for eigenvalues of Schroedinger operator with small translation and Dirichlet condition”, Doklady Mathematics, 109:3 (2024), 227–231  crossref  crossref
16. D. I. Borisov, D. M. Polyakov, “Uniform asymptotics for eigenvalues of model Schrödinger operator with small translation”, Ufa Math. J., 16:3 (2024), 1–20  mathnet  crossref

   2023
17. D. I. Borisov, D. M. Polyakov, “Resolvent convergence for differential-difference operators with small variable translations”, Mathematics, 11:20 (2023), 4260 , 34 pp.  crossref  mathscinet  scopus 2
18. D. I. Borisov, “Homogenization of Operators with Perturbations of General Form in the Lower-Order Terms”, Math. Notes, 113:1 (2023), 139–143  mathnet  crossref  crossref  mathscinet  scopus
19. D. I. Borisov, J. Kříž, “Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit”, Analysis and Mathematical Physics, 13 (2023), 5 , 34 pp.  crossref  isi  scopus 10
20. D. I. Borisov, A. L. Piatnitski, E. A. Zhizhina., “On spectra of convolution operators with potentials”, Journal of Mathematical Analysis and Applications, 517:1 (2023), 126568 , 27 pp.  crossref  scopus 2
21. D. I. Borisov, D. A. Zezyulin, “On bifurcations of thresholds in essential spectrum under presence of spectral singularity”, Differential Equations, 59:2 (2023), 278–282 https://doi.org/10.1134/S0012266123020118  crossref  crossref  mathscinet  isi  scopus
22. D. I. Borisov, “Geometric approximation of point interactions in two-dimensional domains for non-self-adjoint operators”, Mathematics, 11:4 (2023), 947 , 23 pp. https://doi.org/10.3390/math11040947  crossref  isi  scopus 1
23. D. I. Borisov, “Operator estimates in two-dimensional problems with a frequent alternation in the case of small parts with the Dirichlet condition”, Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S33–S52  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
24. D. I. Borisov, P. Exner, “Approximation of point interactions by geometric perturbations in two-dimensional domains”, Bulletin of Mathematical Sciences, 13:2 (2023), 2250003 , 30 pp.  crossref  mathscinet  zmath  isi  scopus 3
25. D. I. Borisov, “Homogenization for operators with arbitrary perturbations of coefficients”, Journal of Differential Equations, 369 (2023), 41–93 , arXiv: abs/2205.09490  crossref  zmath  isi  scopus 4
26. D. I. Borisov, “On resolvent of the Schrödinger operator on a model graph with small loops”, Journal of Mathematical Sciences, 276:1 (2023), 48–60  crossref  mathscinet  scopus
27. D. I. Borisov, D. A. Zezyulin, “Eigenvalues bifurcating from continuum in two-dimensional potentials generating non-Hermitian gauge fields”, Annals of Physics, 459 (2023), 169498 , 17 pp.  crossref  mathscinet  scopus
28. G. Berkolaiko, D. I. Borisov, M. King, “Exotic eigenvalues and analytic resolvent for a graph with a shrinking edge”, Analysis and Mathematical Physics, 13 (2023), 90 , 22 pp.  crossref
29. D. I. Borisov, A. L. Piatnitski and E. A. Zhizhina, “Spectrum of one-dimensional potential perturbed by a small convolution operator: general structure”, Mathematics, 11:19 (2023), 4042 , 26 pp.  crossref  isi
30. D. I. Borisov, A. A. Fedotov, “Monodromization and a PT-symmetric nonself-adjoint quasi-periodic operator”, Russian Journal of Mathematical Physics, 30:3 (2023), 294–309  crossref  mathscinet  scopus 2
31. D. I. Borisov, A. I. Mukhametrakhimova, “Uniform convergence for problems with perforation alogn a given manifold and with a nonlinear Robin condition on the boundaries of cavities”, Algebra i Analiz, 35:4 (2023), 20–78  mathnet
32. D. I. Borisov, D. M. Polyakov, “Resolvent convergence for differential-difference operators with small variable translations”, Mathematics, 11:20 (2023), 4260 , 33 pp.  crossref 2
33. D. I. Borisov, A. L. Piatnitski, E. A. Zhizhina, “Spectrum of one-dimensional potential perturbed by a small convolution operator: general structure”, Mathematics, 11:19 (2023), 4042 , 26 pp.  crossref

   2022
34. D. Borisov, “Resolvents of elliptic operators on quantum graphs with small edges: holomorphy and Taylor series”, Advances in Mathematics, 397 (2022), 108125 , 48 pp., arXiv: 2102.12958  crossref  mathscinet  scopus 7
35. D. I. Borisov, L. I. Gazizova, “Taylor series for resolvents of operators on graphs with small edges”, Proceedings of Steklov Institute of Mathematics, 317:Suppl. 1 (2022), S37–S54  mathnet  crossref  crossref  mathscinet  isi  isi  elib  scopus  scopus
36. D. I. Borisov, A. I. Mukhametrakhimova, “Asymptotics for problems in perforated domains with Robin nonlinear condition on the boundaries of cavities”, Sb. Math., 213:10 (2022), 1318–1371  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
37. D. I. Borisov, E. A. Zhizhina, A. L. Piatnitski, “Spectrum of a convolution operator with potential”, Russian Math. Surveys, 77:3 (2022), 546–548  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
38. D. I. Borisov, A. A. Fedotov, “On Bloch solutions of difference equations”, Funct. Anal. Appl., 56:4 (2022), 239–250  mathnet  crossref  crossref  mathscinet  scopus
39. D. I. Borisov, “Asymptotic expansion of solution to Dirichlet problem in perforated domain: strange term case”, Ufa Mathematical Journal, 14:4 (2022), 26–41  mathnet  crossref
40. S. V. Dmitriev, D. I. Borisov, “Effective interatomic potential for modelling shock waves in carbon nanotube bundles”, AIP Conference Proceedings, 2533 (2022), 02005 , 5 pp.  crossref  scopus
41. D. I. Borisov, M. N. Konyrkulzhaeva, “Operator $L_2$-estimates for two-dimensional problems with frequent alternation of boundary conditions”, Journal of Mathematical Sciences, 267:3 (2022), 319–337  crossref  scopus
42. D. I. Borisov, “Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions”, Journal of Mathematical Sciences, 264:5 (2022), 562–580  crossref  scopus
43. D. I. Borisov,M. Znojil, “Arnold’s potentials and quantum catastrophes II”, Annals of Physics, 442 (2022), 168896 , 15 pp.  crossref  isi  scopus 3
44. D. I. Borisov, D. A. Zezyulin, “Bifurcations of essential spectra generated by a small non-Hermitian small hole. II. Eigenvalues and resonances”, Russian Journal of Mathematical Physics, 29:3 (2022), 321–341  crossref  isi  scopus 3
45. D. I. Borisov, “Norm resolvent convergence of elliptic operators in domains with thin spikes”, Journal of Mathematical Sciences, 261:3 (2022), 366–391  crossref  scopus

   2021
46. D. I. Borisov, A. M. Golovina, “On finitely many resonances emerging under distant perturbations in multi-dimensional cylinders”, Journal of Mathematical Analysis and Applications, 496:2 (2021), 124809 , arXiv: 2008.07289  crossref  mathscinet  zmath  isi  scopus 3
47. D. I. Borisov, G. Cardone, G. A. Chechkin, Yu. O. Koroleva, “On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary”, Calculus of Variations and Partial Differential Equations, 60:1 (2021), 48  crossref  zmath  isi  scopus 7
48. D. I. Borisov, M. Täufer, I. Veseli{\c}, “Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum”, Journal of Statistical Physics, 182:1 (2021), 1  crossref  mathscinet  adsnasa  isi  scopus 2
49. D. I. Borisov, P. Exner, “Gap opening in two-dimensional periodic systems”, Communications in Contemporary Mathematics, 23:1 (2021), 1950080 , arXiv: 1810.08824  crossref  zmath  isi  scopus
50. D. I. Borisov, A. I. Mukhametrakhimova, “Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition”, Sb. Math., 212:8 (2021), 1068–1121  mathnet  crossref  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
51. D. I. Borisov, “Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions”, Partial Differential Equations, CMFD, 67, no. 1, PFUR, M., 2021, 14–129  mathnet  crossref
52. D. I. Borisov, D. A. Zezyulin, M. Znojil, “Bifurcations of thresholds in essential spectra of elliptic operators under localized non-Hermitian perturbations”, Studies in Applied Mathematics, 146:4 (2021), 834-880  crossref  mathscinet  zmath  isi  scopus 7
53. D. I. Borisov, “Quantum graphs with small edges: holomorphy of resolvents”, Doklady Mathematics, 103:3 (2021), 113–117  mathnet  crossref  crossref  zmath  zmath  isi  elib  scopus
54. D. I. Borisov, A. A. Fedotov, “On the spectrum of a non-self-adjoint quasiperiodic operator”, Dokl. Math., 104:3 (2021), 326–331  mathnet  crossref  crossref  zmath  elib  scopus
55. D. I. Borisov, “Spectra of elliptic operators on quantum graphs with small edges”, Mathematics, 9:16 (2021), 1874 , 24 pp.  crossref  isi  scopus 5
56. D. I. Borisov, D. A. Zezyulin, “Bifurcations of essential spectra generated by a small non-Hermitian hole. I. Meromorphic continuations”, Russian Journal of Mathematical Physics, 28:4 (2021), 416–433  crossref  isi  scopus 4
57. D. I. Borisov, M. N. Konyrkulzhaeva, A. I. Mukhametrakhimova, “On discrete spectrum of a model graph with loop and small edges”, Journal of Mathematical Sciences, 257:5 (2021), 3–18  crossref  scopus

   2020
58. D.I. Borisov, D.A. Zezyulin, “Sequences of closely spaced resonances and eigenvalues for bipartite complex potentials”, Applied Mathematics Letters, 100 (2020), id 106049 , arXiv: 1908.06384  crossref  mathscinet  zmath  isi  scopus 7
59. D. I. Borisov, A. M. Golovina, A. I. Mukhametrakhimova, “Analytic continuation of resolvent of analytic continuation in cylinder”, Journal of Mathematical Sciences, 250:2 (2020), 260-284  crossref  mathscinet  zmath  scopus
60. D. I. Borisov, G. Cardone, “On a one-dimensional quadratic operator pencil with a small periodic perturbation”, ESAIM: Control, Optimisation and Calculus of Variations, 26 (2020), 21 , 32 pp.  crossref  isi  scopus 5
61. M. Znojil, D. I. Borisov, “Anomalous mechanisms of the loss of observability in non-Hermitian quantum models”, Nuclear Physics B, 957 (2020), 115064 , 19 pp.  crossref  mathscinet  isi  scopus 7
62. D. I. Borisov, O.A. Sultanov, “Complete asymptotics for solution of singularly perturbed dynamical systems with single well potential”, Mathematics, 8:6 (2020), 949 , 17 pp.  crossref  isi  scopus 1
63. D. I. Borisov, A. I. Mukhametrakhimova, “On a model graph with a loop and small edges”, Journal of Mathematical Sciences, 251:5 (2020), 573-601  crossref  mathscinet  scopus
64. D. I. Borisov, M. N. Konyrkulzhaeva, “On infinite system of resonance and eigenvalues with exponential asymptotics generated by distant perturbations”, Ufa Math. J., 12:4 (2020), 3–18  mathnet  crossref  mathscinet  isi  scopus
65. A. M. Bayazitov, E. A. Korznikova, A. S. Semenov, D. I. Borisov and S. V. Dmitriev, “Interaction of supersonic 2-crowdions in fcc platinum”, IOP Conference Series: Materials Science and Engineering, 1008 (2020), 012068  crossref  scopus 4
66. I. R. Sunagatova, A. M. Subkhangulova, M. N. Semenova, A. S. Semenov, D. I. Borisov and S. V. Dmitriev, “Properties of one-dimensional nonlinear vibrational modes in triangular lattice with Lennard-Jones interactions”, IOP Conference Series: Materials Science and Engineering, 1008 (2020), 012073  crossref  scopus 4

   2019
67. D. I. Borisov, “On lacunas in the spectrum of the Laplacian with the Dirichlet boundary condition in a strip with oscillating boundary”, Complex Analysis. Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 162, VINITI, Moscow, 2019, 3–14  mathnet  mathscinet
68. D. I. Borisov, M. N. Konyrkulzhaeva, “Simplest graphs with small edges: asymptotics for resolvents and holomorphic dependence of spectrum”, Ufa Math. J., 11:2 (2019), 56–70  mathnet  crossref  mathscinet  isi  scopus
69. D. I. Borisov, M. N. Konyrkulzhayeva, “Perturbation of threshold of the essential spectrum of the Schrödinger operator on the simplest graph with a small edge”, Journal of Mathematical Sciences, 239:3 (2019), 248-267  crossref  mathscinet  zmath  scopus
70. D. I. Borisov, D. A. Zezyulin, “Spacing gain and absorption in a simple PT-symmetric model: spectral singularities and ladders of eigenvalues and resonances”, Journal of Physics A, 52:44 (2019), id 445202 , arXiv: 1908.06383  crossref  isi  scopus 5
71. D. I. Borisov, “Bethe-Sommerfeld conjecture for periodic Schroedinger operators in strip”, Journal of Mathematical Analysis and Applications, 479:1 (2019), 260–282 , arXiv: 1806.09292  crossref  mathscinet  zmath  isi  scopus 1
72. D. I. Borisov, A. M. Golovina, “On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with scattering perturbations”, Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 163, VINITI, Moscow, 2019, 3–14  mathnet  mathscinet  zmath

   2020
73. D.I. Borisov, “On elliptic operators with frequent alternation of boundary conditions along a given curve”, Journal of Mathematical Sciences, 244:3 (2020), 378-389  crossref  mathscinet  scopus

   2018
74. D.I. Borisov, “Absence of gaps in a lower part of the spectrum of a Laplacian with frequent alternation of boundary conditions in a strip”, Theoret. and Math. Phys., 195:2 (2018), 690–703  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
75. D. Borisov, F. Hoecker-Escuti, I. Veselic, “Expansion of the spectrum in the weak disorder regime for random operators in continuum space”, Communications in Contemporary Mathematics, 20:1 (2018), id 1750008  crossref  mathscinet  zmath  isi  scopus 3
76. D. Saadatmand, D.I. Borisov, P.G. Kevrekidis, K. Zhou, S.V. Dmitriev, “Resonant interaction of φ4 kink with spatially periodic PT-symmetric perturbation with spatially periodic gain/loss coefficient”, Communications in Nonlinear Science and Numerical Simulation, 56 (2018), 62-76  crossref  mathscinet  adsnasa  isi  scopus 9
77. D.I. Borisov, A.I. Mukhametrakhimova, “On norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes”, Journal of Mathematical Sciences, 2018, no. 3, 283-298  crossref  mathscinet  zmath  zmath  scopus

   2019
78. D. I. Borisov, “Gaps in the spectrum of the Laplacian in a band with periodic delta interaction”, Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S16–S23  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2018
79. M. Znojil, D. Borisov, “Two patterns of PT-symmetry breakdown in a non-numerical six-state simulation”, Annals of Physics, 394 (2018), 40-49  crossref  mathscinet  zmath  adsnasa  isi  scopus 10
80. D.I. Borisov, M. Täufer, I. Veselić, “Spectral localization for quantum Hamiltonians with weak random delta interaction”, Comptes Rendus Mathématique, 356:6 (2018), 686-691  crossref  mathscinet  zmath  isi  scopus 1
81. D. I. Borisov, “On spectral gaps of a Laplacian in a strip with a bounded periodic perturbation”, Ufa Math. Journal, 10:2 (2018), 14–30  mathnet  crossref  isi  scopus

   2021
82. D. I. Borisov, “Perturbations of the Continuous Spectrum of a Certain Nonlinear Two-Dimensional Operator Sheaf”, J. Math. Sci. (N. Y.), 252:2 (2021), 135–146  mathnet  crossref  mathscinet  scopus

   2017
83. D. Borisov, M. Tautenhahn, I. Veselic, “Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations”, Journal of Mathematical Physics, 58:12 (2017), id 121502 , arXiv: 1512.06347  crossref  adsnasa  isi  scopus 5
84. D. I. Borisov, S. V. Dmitriev, “On the spectral stability of kinks in 2D Klein-Gordon model with parity-time-symmetric perturbation”, Studies in Applied Mathematics, 138:3 (2017), 317-342 , arXiv: 1512.01103  crossref  mathscinet  zmath  isi  scopus 6
85. D. Borisov, P. Freitas, “The spectrum of geodesic balls on spherically symmetric manifolds”, Communications in Analysis and Geometry, 25:3 (2017), 507-544 , arXiv: 1603.02399  crossref  mathscinet  zmath  isi  scopus 4
86. D. I. Borisov, M. Znojil, “On eigenvalues of a $\mathscr{P\!T}$-symmetric operator in a thin layer”, Sb. Math., 208:2 (2017), 173–199  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2019
87. D.I. Borisov, “Estimates of initial scales for layers with small random negative-definite perturbations”, Journal of Mathematical Sciences, 241:5 (2019), 518–548  mathnet  crossref  mathscinet  zmath  scopus

   2017
88. D.I. Borisov, “Initial length scale estimate for the Schroedginer operator with a random fast oscillating potential in a multi-dimensional layer”, Vestnik Kazakhskogo natsionalnogo universiteta. Seriya matematika, mekhanika, informatika., 93:1 (2017), 21-31
89. D. I. Borisov, “On lacunas in the lower part of the spectrum of the periodic magnetic operator in a strip”, Differential and functional differential equations, CMFD, 63, no. 3, Peoples' Friendship University of Russia, M., 2017, 373–391  mathnet  crossref

   2016
90. D. Borisov, G. Cardone, T. Durante, “Homogenization and norm resolvent convergence for elliptic operators in a strip perforated along a curve”, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 146:6 (2016), 1115–1158 , arXiv: 1305.1009  crossref  mathscinet  zmath  isi  scopus 42
91. Math. Notes, 99:5 (2016), 636–642  mathnet  crossref  mathscinet  isi  elib  scopus
92. D. Borisov, F. Hoecker-Escuti, I. Veselić, “Expansion of the almost sure spectrum in the weak disorder regime”, Journal of Functional Analysis, 270:5 (2016), 1684–1718 , Academic Press  crossref  mathscinet  isi  scopus 3
93. D. I. Borisov, “Creation of spectral bands for a periodic domain with small windows”, Russian Journal of Mathematical Physics, 23:1 (2016), 19–34 , Pleiades Publishing  crossref  mathscinet  adsnasa  isi  scopus 3
94. D. I. Borisov, T. F. Sharapov, “On the Resolvent of Multidimensional Operators with Frequently Alternating Boundary Conditions with the Robin Homogenized Condition”, Journal of Mathematical Sciences, 213:4 (2016), 461–503 , Springer US  crossref  mathscinet  scopus; D. I. Borisov, T. F. Sharapov, “O rezolvente mnogomernykh operatorov s chastoi smenoi kraevykh uslovii v sluchae tretego usrednennogo usloviya”, Problemy matematicheskogo analiza, 83 (2015), 3-40 12
95. D. I. Borisov, M. Znojil, “Mathematical and Physical Meaning of the Crossings of Energy Levels in PT-Symmetric Systems”, Non-Hermitian Hamiltonians in Quantum Physics, Springer International Publishing, 2016, 201–217  crossref  zmath  isi  scopus 2
96. D. Borisov, A. Golovina, I. Veselić, “Quantum Hamiltonians with weak random abstract perturbation. I. Initial length scale estimate”, Annales Henri Poincare, 17:9 (2016), 2341-2377  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3

   2015
97. D.I. Borisov, R. Kh. Karimov, T. F. Sharapov, “Initial length scale estimate for waveguides with some random singular potentials”, Ufa Math. Journal, 7:2 (2015), 33–54  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
98. JETP Letters, 101:7 (2015), 497–502  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
99. D.I. Borisov, “The Emergence of Eigenvalues of a $\mathcal{PT}$-Symmetric Operator in a Thin Strip”, Math. Notes, 98:6 (2015), 872–883  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
100. D. I. Borisov, “On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows”, Russian Journal of Mathematical Physics, 22:2 (2015), 153–160 , Pleiades Publishing  crossref  mathscinet  adsnasa  isi  scopus 10
101. D. Borisov, I. Nakić, Ch. Rose, M. Tautenhahn, I. Veselić, “Multiscale unique continuation properties of eigenfunctions”, Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, Springer International Publishing, 2015, 107–118  mathscinet  zmath  isi  scopus
102. D. I. Borisov, F. Ružička, M. Znojil, “Multiply degenerate exceptional points and quantum phase transitions”, International Journal of Theoretical Physics, 54:12 (2015), 4293–4305 , Springer US  crossref  mathscinet  adsnasa  isi  scopus 20
103. D. I. Borisov, “Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions”, Journal of Mathematical Sciences, 205:2 (2015), 141–181 , Springer US  crossref  mathscinet  scopus 3
104. D. Saadatmand, S. V. Dmitriev, D. I. Borisov, P. G. Kevrekidis, M. A. Fatykhov, K. Javidan, “Kink scattering from a parity-time-symmetric defect in the $\phi$ 4 model”, Communications in Nonlinear Science and Numerical Simulation, 29:1 (2015), 267–282 , Elsevier  crossref  mathscinet  isi  scopus 16
105. D. I. Borisov, “Perturbation of Threshold of Essential Spectrum for Waveguides with Windows. II: Asymptotics”, Journal of Mathematical Sciences, 210:5 (2015), 590–621 , Springer US  crossref  mathscinet  scopus 1

   2014
106. D.I. Borisov, “Discrete spectrum of thin $\mathcal{PT}$-symmetric waveguide”, Ufa Math. Journal, 6:1 (2014), 29–55  mathnet  crossref  mathscinet  isi  elib  elib  scopus
107. D. Borisov, “Eigenvalues collision for PT-symmetric waveguide”, Acta Polytechnica, 54:2 (2014), 93–100 , arXiv: 1401.6316  crossref  elib  scopus 21
108. D. Borisov, M. Tautenhahn, I. Veselic, “Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators”, Mathematical Results in Quantum Mechanics, 2014, 89–99  crossref  mathscinet 1
109. D. Borisov, G. Cardone, T. Durante, “Norm-resolvent convergence for elliptic operators in domain with perforation along curve”, Comptes Rendus Mathematique, 352:9 (2014), 679–683 , Elsevier Masson  crossref  mathscinet  isi  elib  scopus 6
110. D. Saadatmand, S. V. Dmitriev, D. I. Borisov, P. G. Kevrekidis, “Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect”, Physical Review E, 90:5 (2014), 052902 , American Physical Society  crossref  adsnasa  isi  elib  scopus 16
111. S. V. Suchkov, D. I. Borisov, A. A. Sukhorukov, Yu. S. Kivshar, others, “Signal manipulation with a PT-symmetric coupler embedded into an array of optical waveguides”, Pisma o materialakh, 4:4 (2014), 222–225  elib

   2013
112. D. I. Borisov, K. V. Pankrashin, “Gap Opening and Split Band Edges in Waveguides Coupled by a Periodic System of Small Windows”, Math. Notes, 93:5 (2013), 660–675  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
113. D.I. Borisov, K. V. Pankrashin, “On the Extrema of Band Functions in Periodic Waveguides”, Funct. Anal. Appl., 47:3 (2013), 238–240  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
114. D. Borisov, R. Bunoiu, G. Cardone, “Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics”, Zeitschrift für angewandte Mathematik und Physik, 64:3 (2013), 439–472 , SP Birkhäuser Verlag Basel  crossref  mathscinet  adsnasa  isi  scopus 40
115. D. Borisov, K. Pankrashkin, “Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones”, Journal of Physics A: Mathematical and Theoretical, 46:23 (2013), 235203 , IOP Publishing  crossref  mathscinet  adsnasa  isi  scopus 19
116. D. Borisov, I. Veselić, “Low lying eigenvalues of randomly curved quantum waveguides”, Journal of Functional Analysis, 265:11 (2013), 2877–2909 , Academic Press  crossref  mathscinet  isi  scopus 9
117. D. Borisov, P. Exner, A. Golovina, “Tunneling resonances in systems without a classical trapping”, Journal of Mathematical Physics, 54:1 (2013), id–012102  crossref  mathscinet  adsnasa  isi  scopus 10
118. D. Borisov, G. Cardone, L. Faella, C. Perugia, “Uniform resolvent convergence for strip with fast oscillating boundary”, Journal of Differential Equations, 255:12 (2013), 4378–4402 , Academic Press  crossref  mathscinet  adsnasa  isi  scopus 39
119. D. Borisov, P. Freitas, “On the spectrum of deformations of compact double-sided flat hypersurfaces”, Analysis & PDE, 6:5 (2013), 1051–1088 , Mathematical Sciences Publishers  crossref  mathscinet  isi  scopus 2
120. R. G. Akhmetov, D. I. Borisov, R. R. Gadylshin, A. R. Danilin, L. A. Kalyakin, O. M. Kiselev, E. F. Lelikova, V. Yu. Novokshenov, B. I. Suleimanov, “Pamyati Arlena Mikhailovicha Ilina”, Ufimskii matematicheskii zhurnal, 5:3 (2013) , Uchrezhdenie Rossiiskoi akademii nauk Institut matematiki s vychislitelnym tsentrom Ufimskogo nauchnogo tsentra Rossiiskoi akademii nauk  mathscinet  elib
121. D. Borisov, P. Freitas, “Asymptotics for the Expected Lifetime of Brownian Motion on Thin Domains in $R^n$”, Journal of Theoretical Probability, 26:1 (2013), 284–309 , Springer  crossref  mathscinet  isi  scopus 5
122. D. I. Borisov, “On a $\mathcal{PT}$-symmetric waveguide with a pair of small holes”, Proc. Inst. Math. Mech., 281, suppl. 1 (2013), 5–21  mathnet  crossref  mathscinet  isi  elib  scopus

   2012
123. D. I. Borisov, A. M. Golovina, “On the resolvents of periodic operators with distant perturbations”, Ufimsk. Mat. Zh., 4:2 (2012), 65–73  mathnet  mathscinet  elib
124. D. Borisov, G. Cardone, “Planar waveguide with “twisted” boundary conditions: small width”, Journal of Mathematical Physics, 53:2 (2012), 023503 , AIP Publishing  crossref  mathscinet  adsnasa  isi  scopus 13
125. D. I. Borisov, P. Freitas, “Eigenvalue asymptotics for almost flat compact hypersurfaces”, Doklady Mathematics, 85, no. 1, 2012, 18–22  crossref  mathscinet  zmath  adsnasa  elib  scopus 1
126. D. Borisov, I. Veselic, “Spectral gaps for self-adjoint second order operators”, Zeitschrift für Analysis und ihre Anwendungen, 31:4 (2012), 473–505  crossref  mathscinet  zmath  isi  scopus
127. D. Borisov, D. Krejčiřík, “The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions”, Asymptotic Analysis, 76:1 (2012), 45–59 , arXiv: 1102.5051  crossref  mathscinet  isi  scopus 13

   2011
128. D. I. Borisov, “On the spectrum of a two-dimensional periodic operator with a small localized perturbation”, Izv. Math., 75:3 (2011), 471–505  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
129. D. Borisov, R. Bunoiu, G. Cardone, “On a waveguide with an infinite number of small windows”, Comptes Rendus Mathematique, 349:1 (2011), 53–56 , Elsevier  crossref  mathscinet  isi  elib  scopus 19
130. D. Borisov, R. Bunoiu, G. Cardone, “Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows”, Journal of Mathematical Sciences, 176:6 (2011), 774–785 , Springer US  crossref  mathscinet  scopus 22
131. D. Borisov, I. Veselić, “Low lying spectrum of weak-disorder quantum waveguides”, Journal of Statistical Physics, 142:1 (2011), 58–77 , Springer US  crossref  mathscinet  adsnasa  isi  scopus 8
132. D. Borisov, G. Cardone, “Planar waveguide with “twisted” boundary conditions: Discrete spectrum”, Journal of Mathematical Physics, 52:12 (2011), 123513–123513 , American Institute of Physics  crossref  mathscinet  adsnasa  isi  scopus 14
133. D. I. Borisov, “Ob usrednenii operatora Shrëdingera v polose s bystro menyayuschimsya tipom kraevykh uslovii”, Vestnik Chelyabinskogo gosudarstvennogo universiteta, 2011, no. 27, 6–11 , Gosudarstvennoe obrazovatelnoe uchrezhdenie vysshego professionalnogo obrazovaniya" Chelyabinskii gosudarstvennyi universitet"  mathscinet  elib
134. D. Borisov, G. Cardone, “Complete asymptotic expansions for the eigenvalues of the Dirichlet Laplacian in thin three-dimensional rods”, ESAIM: Control, Optimisation, and Calculus of Variation, 17:3 (2011), 887–908 , arXiv: 0910.3907  crossref  mathscinet  zmath  isi  scopus 14
135. D.I. Borisov, “On the homogenization of Schrodinger operator in a strip with frequent alternation of boundary conditions”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14, 6–11  mathnet

   2010
136. D. Borisov, P. Freitas, “Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in $R^d$”, Journal of Functional Analysis, 258:3 (2010), 893–912  crossref  mathscinet  zmath  isi  scopus 36
137. D. Borisov, R. Bunoiu, G. Cardone, “On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition”, Annales Henri Poincare, 11:8 (2010), 1591–1627 , arXiv: 1010.2072  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 38

   2009
138. D. Borisov, P. Freitas, “Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation”, Journal of Differential Equations, 247:11 (2009), 3028–3039 , Elsevier  crossref  mathscinet  adsnasa  isi  scopus 18
139. D. Borisov, G. Cardone, “Homogenization of the planar waveguide with frequently alternating boundary conditions”, Journal of Physics A: Mathematics and General, 42:36 (2009), 365205 , 21 pp., arXiv: 0905.0338  crossref  mathscinet  zmath  isi  scopus 37
140. D. Borisov, I. Veselić, “Spectral properties of weak-disorder quantum waveguides”, Oberwolfach Reports, 6:4 (2009), 2980–2981  crossref
141. D. Borisov, P. Freitas, “Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions on thin planar domains”, Annales de l'Institut Henri Poincare (C) Analyse non-lineaire, 26:2 (2009), 547–560 , arXiv: 0712.3245  crossref  mathscinet  zmath  adsnasa  isi  scopus 35
142. D. I. Borisov, “Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients”, St. Petersburg Math. J., 20:2 (2009), 175–191  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
143. D. I. Borisov, R. R. Gadyl'shin, “On the spectrum of a periodic operator with a small localized perturbation”, Izv. Math., 72:4 (2008), 659–688  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
144. D. Borisov, D. Krejčiřík, “PT-symmetric waveguide”, Integral Equations and Operator Theory, 62:4 (2008), 489–515  crossref  mathscinet  zmath  isi  scopus 39
145. D. I. Borisov, R. R. Gadyl'shin, “Errata”, Mat. Sb., 199:3 (2008), 160  mathnet  crossref  mathscinet  elib

   2007
146. D. I. Borisov, R. R. Gadyl'shin, “The spectrum of a self-adjoint differential operator with rapidly oscillating coefficients on the axis”, Sb. Math., 198:8 (2007), 1063–1093  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
147. D. I. Borisov, “Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients”, Proc. Inst. Math. Mech., 259, suppl. 2 (2007), S35–S45  mathnet  crossref  elib  scopus
148. D. I. Borisov, “Some singular perturbations of periodic operators”, Theoret. and Math. Phys., 151:2 (2007), 614–624  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
149. D. Borisov, “The spectrum of two quantum layers coupled by a window”, Journal of Physics A: Mathematical and Theoretical, 40:19 (2007), 5045 , IOP Publishing  crossref  mathscinet  adsnasa  isi  scopus 13
150. D. I. Borisov, “Distant perturbations of the Laplacian in a multi-dimensional space”, Annales Henri Poincare, 8, no. 7, 2007, 1371–1399  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 17
151. D. I. Borisov, R. R. Gadyl’shin, “The spectrum of a periodic operator with a small localized perturbation”, Doklady Mathematics, 75, no. 2, Pleiades Publishing, 2007, 255–259  crossref  mathscinet  zmath  isi  elib  scopus 2
152. D. Borisov, “On a quantum waveguide with a small PT-symmetric perturbation”, Acta Polytechnica, 47:2–3 (2007)  zmath
153. D. Borisov, “Asymptotic behaviour of the spectrum of a waveguide with distant perturbation”, Mathematical Physics, Analysis and Geometry, 10:2 (2007), 155–196  crossref  mathscinet  zmath  adsnasa  isi  scopus 16

   2006
154. D. I. Borisov, “Discrete spectrum of an asymmetric pair of waveguides coupled through a window”, Sb. Math., 197:4 (2006), 475–504  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
155. D. I. Borisov, R. R. Gadyl'shin, “The spectrum of the Schrödinger operator with a rapidly oscillating compactly supported potential”, Theoret. and Math. Phys., 147:1 (2006), 496–500  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
156. D. I. Borisov, “On a problem with nonperiodic frequent alternation of boundary conditions imposed on fast oscillating sets”, Comput. Math. Math. Phys., 46:2 (2006), 271–281  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
157. D. Borisov, P. Exner, “Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case”, Journal of Mathematical Physics, 47:11 (2006), 113502–1  crossref  mathscinet  adsnasa  isi  scopus 13
158. D. I. Borisov, “On the spectrum of the Schrödinger operator perturbed by a rapidly oscillating potential”, Journal of Mathematical Sciences, 139:1 (2006), 6243–6322 , Springer  crossref  mathscinet  scopus 7
159. D. I. Borisov, “Asymptotics of the spectrum of the Schrödinger operator perturbed by a rapidly oscillating periodic potential”, Doklady Mathematics, 73, no. 1, Pleiades Publishing, 2006, 19–22  crossref  mathscinet  zmath  isi  elib  scopus

   2005
160. A. R. Bikmetov, D. I. Borisov, “Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential”, Theoret. and Math. Phys., 145:3 (2005), 1691–1702  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
161. D. Borisov, T. Ekholm, H. Kovařík, “Spectrum of the magnetic Schrodinger operator in a waveguide with combined boundary conditions”, Annales Henri Poincare, 6:2 (2005), 327–342 , arXiv: math-ph/0405034  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 19

   2004
162. D. I. Borisov, “Asymptotics and estimates of the convergence rate in a three-dimensional boundary-value problem with rapidly alternating boundary conditions”, Siberian Math. J., 45:2 (2004), 222–240  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
163. D. Borisov, P. Exner, “Exponential splitting of bound states in a waveguide with a pair of distant windows”, Journal of Physics A: Mathematics and General, 37:10 (2004), 3411–3428  crossref  mathscinet  zmath  adsnasa  isi  scopus 30

   2003
164. D. I. Borisov, “Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions”, Izv. Math., 67:6 (2003), 1101–1148  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
165. D. I. Borisov, “On a model boundary value problem for Laplacian with frequently alternating type of boundary condition”, Asymptotic Analysis, 35:1 (2003), 1-26  mathscinet  zmath  isi  scopus

   2002
166. D. I. Borisov, “Boundary-value problem in a cylinder with frequently changing type of boundary”, Sb. Math., 193:7 (2002), 977–1008  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
167. D.I. Borisov, “On a Singularly Perturbed Boundary Value Problem for the Laplacian in a Cylinder”, Differ. Equ., 38:8 (2002), 1140–1148  mathnet  crossref  mathscinet  isi  scopus
168. D. I. Borisov, “On a Laplacian with frequently nonperiodically alternating boundary conditions”, Doklady. Mathematics, 65, no. 2, Pleiades Publishing, 2002, 224–226  mathscinet  zmath  isi  scopus
169. D. Borisov, “Dvuparametricheskie asimptotiki sobstvennykh chisel Laplasiana s chastym cheredovaniem granichnykh uslovii”, Vestnik molodykh uchenykh, 2002:1 (2002), 36–52
170. D. Borisov, P. Exner, R. Gadyl'shin, “Geometric coupling thresholds in a two-dimensional strip”, Journal of Mathematical Physics, 43:12 (2002), 6265-6278 , arXiv: quant-ph/0206113  crossref  mathscinet  zmath  adsnasa  isi  scopus 60

   2001
171. D. I. Borisov, “Two-Parameter Asymptotics in a Boundary-Value Problem for the Laplacian”, Math. Notes, 70:4 (2001), 471–485  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
172. D. Borisov, P. Exner, R. Gadyl'shin, D. Krejčiřík, “Bound states in weakly deformed strips and layers”, Annales Henri Poincare, 2:3 (2001), 553-572 , arXiv: math-ph/0011052  crossref  mathscinet  zmath  adsnasa  isi  scopus 61
173. D. I. Borisov, “The asymptotics for the eigenelements of the Laplacian in a cylinder with frequently alternating boundary conditions”, Comptes Rendus de l'Académie des Sciences-Series IIB-Mechanics, 329:10 (2001), 717–721 , Elsevier  crossref  adsnasa  isi  scopus 1

   1999
174. D. I. Borisov, R. R. Gadyl'shin, “On the spectrum of the Laplacian with frequently alternating boundary conditions”, Theoret. and Math. Phys., 118:3 (1999), 272–277  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   1998
175. D. I. Borisov, R. R. Gadyl'shin, “On Laplacian with rapidly and quasiperiodically changing type of boundary conditions”, Russian Mathematical Survey, 53:4 (1998), 813 , Russian Academy of Sciences

Presentations in Math-Net.Ru
1. О резольвенте оператора Шредингера на графе с малыми ребрами
D. I. Borisov

September 20, 2023 14:30
2. On operator estimates in domains with a common non-periodic perforation
D. I. Borisov
Scientific seminar on the differential and functional differential equations
April 27, 2023 12:00   
3. On perturbations of the internal thresholds of the essential spectrum and violations of the conservation of the total multiplicity
D. I. Borisov
Scientific seminar on the differential and functional differential equations
April 25, 2023 12:00   
4. On the series of resonances and eigenvalues for operators with running perturbations
D. I. Borisov
V. I. Smirnov Seminar on Mathematical Physics
December 19, 2022 16:30
5. Усреднение операторов с произвольным возмущением в младших коэффициентах
D. I. Borisov

November 9, 2022 10:00   
6. О спектре тонкого PT-симметричного волновода
D. I. Borisov

August 9, 2021 17:30
7. On bifurcations of essential spectrum under singular geometric perturbation
D. I. Borisov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 7, 2021 12:15   
8. Bifurcations of thresholds of essential spectra and violation of conservation of total multiplicity
D. I. Borisov
Complex analysis and mathematical physics
April 27, 2021 16:00
9. Асимптотический анализ в задачах математической физики
D.I. Borisov
Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences
June 15, 2016 10:00   

Organisations
 
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