Інститут теоретичної фізики ім. М.М. Боголюбова
Національної академії наук України

Головні розділи English
Інститут
Ресурси
Наукова діяльність
Архів
Центр колективного користування
Корисні посилання
Наукові відділи Найважливіші публікації
Відділ Математичних методів в теоретичній фізиці
Монографії, статті в журналах, інші публікації
  1. A.M. Gavrilik, A.V. Nazarenko, Bose–Einstein condensate dark matter that involves composites. Universe 8(3) , 187 (2022).
  2. V.P. Gusynin, O.O. Sobol, A.V. Zolotaryuk, Y. Zolotaryuk, Bound states of a one-dimensional Dirac equation with multiple delta-potentials, Low Temperature Physics/Fizyka Nyzkykh Temperatur, V.48, No.12, pp. 1157–1168 (2022).
  3. O. Gamayun, N. Iorgov, Yu. Zhuravlev, Effective free-fermionic form factors and the XY spin chain, SciPost Phys. 10, 070 (2021).
  4. Yu. Zhuravlev, E. Naichuk, N. Iorgov, and O. Gamayun, Large-time and long-distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas, Phys. Rev. B 105, 085145 (2022).
  5. T. Skrypnyk, Anisotropic BCS-Richardson model and algebraic Bethe ansatz, Nuclear Physics B, 975, 115679 (2022).
  6. T. Skrypnyk, The Generalized Lipkin-Meshkov-Glick Model and the Modified Algebraic Bethe Ansatz, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 18, 074 (2022).
  7. T .Skrypnyk, Anisotropic Z n-graded classical r-matrix, deformed An Toda-and Gaudin-type models, and separation of variables, Journal of Mathematical Physics, 63, 091702 (2022).
  8. T .Skrypnyk, On the general solution of the permuted classical Yang–Baxter equation and quasigraded Lie algebras, Journal of Mathematical Physics, 63, 033507 (2022).
  9. Y. Tykhyy, Finite orbits of monodromies of rank two Fuchsian systems, Analysis and Mathematical Physics 12, article id.122 (2022). https://doi.org/10.1007/s13324-022-00698-2
  10. Lyudmila Kovalchuk, Roman Oliynykov, Yuri Bespalov, Mariia Rodinko, Methods of ensuring privacy in a decentralized environment, Information Security Technologies in the Decentralized Distributed Networks, - Lecture Notes on Data Engineering and Communications Technologies, Vol. 115, Springer-Verlag, 2022, https://doi.org/10.1007/978-3-030-95161-0_1, pp. 1-32.
  11. Lyudmila Kovalchuk, Roman Oliynykov, Yuri Bespalov, Mariia Rodinko, Analysis and research of threat, attacker and security models of data depersonalization in decentralized networks, Information Security Technologies in the Decentralized Distributed Networks, - Lecture Notes on Data Engineering and Communications Technologies, Vol. 115, Springer-Verlag, 2022, https://doi.org/10.1007/978-3-030-95161-0_3, pp. 71-88.
  12. Lyudmila Kovalchuk, Roman Oliynykov, Yuri Bespalov, Mariia Rodinko, Cryptographic mechanisms that ensure the efficiency of SNARK-systems, Information Security Technologies in the Decentralized Distributed Networks, - Lecture Notes on Data Engineering and Communications Technologies, Vol .115, Springer-Verlag, 2022, https://doi.org/10.1007/978-3-030-95161-0_8, pp. 185-201.
  13. Lyudmila Kovalchuk, Roman Oliynykov, Yuri Bespalov, Mariia Rodinko, Comparative analysis of consensus algorithms using a directed acyclic graph instead of a blockchain, and the construction of security estimates of spectre protocol against double spend attack, Information Security Technologies in the Decentralized Distributed Networks, - Lecture Notes on Data Engineering and Communications Technologies, Vol.115, Springer-Verlag, 2022, https://doi.org/10.1007/978-3-030-95161-0_9, pp. 203-224.
Доповіді на конференціях та семінарах
  1. Yuri Bespalov, Lyudmila Kovalchuk, Hanna Nelasa, Roman Oliynykov, and Alberto Garoffolo, Game theory analysis of incentive distribution for prompt generation of the proof tree in zk-SNARK based sidechains, 2022 IEEE International Carnahan Conference on Security Technology (ICCST), 2022, https://doi.org/10.1109/ICCST52959.2022.9896484
Монографії, статті в журналах, інші публікації
  1. O. M. Gavrilik and A. V. Nazarenko, Phases of the Bose–Einstein Condensate Dark Matter Model with Both Two- and Three-Particle Interactions, Universe 2021, 7(10), 359. (Q2) https://doi.org/10.3390/universe7100359
  2. A.V. Zolotaryuk and Y. Zolotaryuk, Scattering data and bound states of a squeezed double-layer structure, J. Phys. A: Math. Theor. 54 (2021) 035201 (29pp) https://doi.org/10.1088/1751-8121/abd156
  3. O. Gamayun, N. Iorgov, Yu. Zhuravlev, Effective free-fermionic form factors and the XY spin chain, SciPost Phys. 10, 070 (2021). doi: DOI: 10.21468/SciPostPhys.10.3.070 [Not yet assigned quartile (2020). Impact Factor (2020): 6.16]
  4. T. Skrypnyk, N. Manojlovic "Twisted rational r-matrices and algebraic Bethe ansatz: Application to generalized Gaudin and Richardson models", Nuclear Physics B, 967, 115424 (2021). Quartile 2020: Q1 https://doi.org/10.1016/j.nuclphysb.2021.115424
  5. T. Skrypnyk "Separation of Variables, Quasi-Trigonometric r-Matrices and Generalized Gaudin Models", SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 17, 069 (2021). Quartile 2020: Q2 https://doi.org/10.3842/SIGMA.2021.069
  6. T. Skrypnyk "On a class of gl (n)⊗ gl (n)-valued classical r-matrices and separation of variables", Journal of Mathematical Physics, 62, 063508, (2021). Quartile 2020: Q2 https://doi.org/10.1063/5.0041967
  7. T. Skrypnyk "Symmetric and asymmetric separation of variables for an integrable case of the complex Kirkhoff’s probleml", Journal of Geometry and Physics, 172,104418 (2022). Quartile 2020: Q2 https://doi.org/10.1016/j.geomphys.2021.104418
  8. Л. Ковальчук, Р. Олійников, Ю. Беспалов та ін.; за загальною редакцією Р. Олійникова, О. Кузнецова та О. Лемешка. Технології інформаційної безпеки в децентралізованих розподілених мережах. Частина 1. – Харків: Видавництво «Форт», 2021. – 300 с. ISBN 978-617-630-065-6
  9. Yuri Bespalov, Alberto Garoffolo, Lyudmila Kovalchuk, Hanna Nelasa, and Roman Oliynykov, Probability models of distributed proof generation for zk-SNARK-based blockchains, Mathematica 9 (2021), no. 23, 31pp, https://www.mdpi.com/2227-7390/9/23/3016 https://doi.org/10.3390/math9233016. Journal Rank: JCR - Q1 (Mathematics) / CiteScore - Q1 (General Mathematics)
  10. Yuri Bespalov, Alberto Garoffolo, Lyudmila Kovalchuk, Hanna Nelasa, and Roman Oliynykov, Game-theoretic view on decentralized proof generation in zk-SNARK based sidechains, Cybersecurity Providing in Information and Telecommunication Systems (CPITS 2021), - CEUR Workshop Proceedings, vol. 2923, 2021, http://ceur-ws.org/Vol-2923/, pp. 47-59
Монографії, статті в журналах, інші публікації
  1. A.M. Gavrilik, M.V. Khelashvili and A.V. Nazarenko. Bose-Einstein condensate dark matter model with three-particle interaction and two-phase structure, Phys. Rev. D 102 (2020), 083510 (13pp.).
  2. A. Zolotaryuk, Y. Zolotaryuk. Point interactions with bound states: A zero-thickness limit of a double-layer heterostructure, Low Temperature Physics (Fizika Nizkikh Temperatur), Vol. 46, 927–933 (2020).
  3. A.V. Zolotaryuk and Y. Zolotaryuk. Scattering data and bound states of a squeezed double-layer structure, Journ. of Physics A: Math. Theor. (2020), No.12, pp.1-34. DOI: 10.1088/1751-8121/abd156
  4. A.V. Nazarenko. Partition function of the Bose–Einstein condensate dark matter and the modified Gross–Pitaevskii equation, Int. J. Mod. Phys. D 29, No. 2 (2020) 2050018 (18 pages). DOI: 10.1142/S0218271820500182
  5. P. Gavrylenko, N. Iorgov, O. Lisovyy. Higher rank isomonodromic deformations and W-alge¬b¬ras, Lett. Math. Phys. 110, pp. 327–364 (2020), DOI: 10.1007/s11005-019-01207-6
  6. T. Skrypnyk. Separation of variables for quadratic algebras: algebras of Maillet and reflection-equation algebras, J. Math. Phys., Vol. 61, issue 8 (2020), paper id. 083504.
  7. G. Magnano, T. Skrypnyk. New separation of variables for the classical XXX and XXZ Heisenberg models, SIGMA, Vol. 16, 047, (2020)
  8. T. Skrypnyk. Symmetric separation of variables for trigonometric integrable models, Nuclear Physics B, 957, 115101, (2020).
  9. T. Skrypnyk. Separation of variables, Lax-integrable systems and gl(2)хgl(2)-valued classical r-matri¬ces, Journal of Geometry and Physics, 155, 103733, (2020).
  10. G. Bonelli, F. Del Monte, P. Gavrylenko, A. Tanzini. N = 2* Gauge Theory, Free Fermions on the Torus and Painlevé VI, Commun. Math. Phys. v. 377, pp. 1381–1419 (2020).
Препринти
  1. A.M. Gavrilik, M.V. Khelashvili and A.V. Nazarenko. Bose-Einstein condensate dark matter model with three-particle interaction and two-phase structure, arXiv: 2007.04832 [astro-ph.GA].
  2. A. Gamayun, N. Iorgov, Yu. Zhuravlev. Effective free-fermionic form factors and the XY spin chain, arxiv: 2012.02079.
  3. M. Lizunova, O. Gamayun. Solitary wave propagation in media with step-like inhomogeneuities, arXiv:2010.03385.
  4. A.V. Zolotaryuk and Y. Zolotaryuk. Scattering data and bound states of a squeezed double-layer structure, arxiv:2011.11437.
  5. O. Gamayun, A. Slobodeniuk, J.-S. Caux, O. Lychkovskiy. Nonequilibrium phase transition in transport through a driven quantum point contact, arXiv:2006.02400.
  6. Yu.Tykhyy. Finite orbits of monodromies of rank two Fuchsian systems, arXiv:2010.08477.
Доповіді на конференціях та семінарах
  1. Yu. Bespalov, L Kovalchuk, H. Nelasa, R. Oliynykov. On Generation of Cycles, Chains and Graphs of Pairing-Friendly Elliptic Curves, Proc. of IEEE International Scientific-Practical Conf. "Problems of Infocommunications. Science and Technology" (PIC S&T), Kharkiv 2020.
Монографії, статті в журналах, інші публікації
  1. W.S. Chung, A.M. Gavrilik, A.V. Nazarenko, Photon gas at the Planck Scale within the doubly special relativity, Physica A: Stat. Mech. & Its Applics. 533 (2019), paper id.121928.
  2. A.M. Gavrilik, A.V. Nazarenko, Statistics effects in the extremal black holes ensemble, Int. J. Mod. Phys. A 34 (2019), paper id. 1950215 (16 pages).
  3. A.M. Gavrilik, I.I. Kachurik, M.V. Khelashvili, Galaxy rotation curves in the μ-deforma-tion-based approach to dark matter, Ukr. J. Phys. 64 (2019), No.11, pp. 1042-1049.
  4. A.M. Gavrilik, Yu.A. Mishchenko, Composite fermions as deformed oscillators: Wave-functions and entanglement, Ukr. J. Phys. 64 (2019), No.12, pp. 1034-1042.
  5. A.V. Zolotaryuk, G.P. Tsironis, Y. Zolotaryuk. Point interactions with bias potentials, Frontiers in Physics, 2019, vol. 7, No. 87.
  6. A.V. Zolotaryuk. Contact interactions in one-dimensional quantum mechanics: A family of generalized δ′-potentials, Ukr. J. Phys. 64 (2019), No. 11, pp. 1021-1028.
  7. P. Gavrylenko, N. Iorgov, O. Lisovyy, Higher rank isomonodromic deformations and W-algebras, Lett. Math. Phys. (2019), Online: 14 September 2019, pp. 1-38, https://doi.org/10.1007/s11005-019-01207-6
  8. Yu. Bespalov, Categories: Between Cubes and Globes. Sketch I, Ukr. J. Phys. 64 (2019), No. 12, pp. 1125-1128.
  9. Skrypnyk T. Classical r-matrices elliptic BCS and Gaudin models and spectral problem, Nuclear Physics B, 941, 225-248 (2019).
  10. Skrypnyk T. Symmetric separation of variables in the Clebsch system, Journal of Geometry & Physics, 135 (2019), pp.204-218.
  11. Skrypnyk T., Dubrovin B. Separation of variables for quadratic Lax algebras and skewsymmetric classical r-matrices, Journ.f Math. Phys., 60 (2019), 093506.
  12. M. Cafasso, P. Gavrylenko, O. Lisovyy, Tau functions as Widom constants, Commun. Math. Phys. 365 (2019), p. 741.
  13. M. Bershtein, P. Gavrylenko, A. Marshakov, Cluster Toda chains and Nekrasov functions, Theor. Math. Phys. 198 (2019), p. 157.
  14. P. Gavrylenko, R. Santachiara, Crossing invariant correlation functions at c=1 from isomonodromic τ functions, J. High Energy Phys. (2019) 2019: 119.
Препринти
  1. A.V. Nazarenko, Partition function of the Bose–Einstein condensate dark matter and the modified Gross–Pitaevskii equation, arXiv:1910.00232 [astro-ph.GA].
  2. G. Bonelli, F. Del Monte, P. Gavrylenko, A. Tanzini, N=2∗ gauge theory, free fermions on the torus and Painlevé VI, arXiv:1901.10497 [hep-th].
  3. G. Bonelli, F. Del Monte, P. Gavrylenko, A. Tanzini, Circular quiver gauge theories, isomonodromic deformations and WN fermions on the torus, arXiv:1909.07990 [hep-th]
Доповіді на конференціях та семінарах
  1. A.M. Gavrilik, I.I. Kachurik, Hamiltonians built from pseudo-Hermitian position/ momen-tum operators, and nonlinear Bogolyubov transformations, XI Bolyai-Gauss-Lobachevsky (BGL-2019) International Conference: Non-Euclidean, Non-Commutative Geometry and Quan¬tum Physics, May 19 - 24, 2019, Kiev, Ukraine. Book of Abstracts, p.12.
  2. Khelashvili M.V., Gavrilik A.M., Kachurik I.I. Galaxy rotation curves in the μ-deformation based approach. XI Bolyai-Gauss-Lobachevsky (BGL-2019) International Conference: Non-Euclidean, Non-Commutative Geometry and Quantum Physics, May 19 - 24, 2019, Kiev, Ukraine. Book of Abstracts, p.19.
  3. A.V. Nazarenko, A.M. Gavrilik, Statistics effects in extremal black hole ensemble, XI Bolyai-Gauss-Loba¬chevsky (BGL-2019) International Conference: Non-Euclidean, Non-Com¬mu¬tative Geometry and Quantum Physics, May 19-24, 2019, Kiev, Ukraine. Book of Abstracts, p.29.
  4. A.M. Gavrilik, I.I.Kachurik, New deformed Heisenberg algebra from the μ-deformation based model of dark matter, Bogolyubov Kyiv Conference Problems of Theoretical and Mathematical Physics, Sept. 24 – 26, 2019, Program and Abstracts, p. 28.
  5. Yu.A. Mishchenko, A.M. Gavrilik, Concept of Duality of deformed analogs of Bose gas model, and its applications, Bogolyubov Kyiv Conference Problems of Theoretical and Mathematical Physics, Sept. 24 – 26, 2019, Program and Abstracts, p. 76.
  6. Yu.A. Mishchenko, A.M. Gavrilik, Composite quantum particles as deformed oscillators oscillators: wave¬function, entanglement and implications , XI Bolyai-Gauss-Lobachevsky (BGL-2019) International Conference: Non-Euclidean, Non-Commutative Geometry and Quantum Physics, May 19-24, 2019, Kiev, Ukraine. Book of Abstracts, p.27.
  7. A.V. Zolotaryuk. Contact interactions in quantum mechanics, XI Bolyai-Gauss-Lobachevsky (BGL-2019) International Conference: Non-Euclidean, Non-Commutative Geometry and Quant.Physics, May 19-24, 2019, Kiev, Ukraine. Book of Abstracts, p. 47.
  8. A.V. Zolotaryuk. Contact interactions in heterostructures: A squeezed limit, International Conference CHAOS 2019, 12th Chaotic Modeling and Simulation, Book of Abstracts, p. 139.
  9. M. Khelashvili, A. Gavrilik, I. Kachurik, Modeling of galaxy rotation curves using nonstandard (µ-deformed) statistics. Intt. School of Subnucl. Phys., 57th Course: In search for the unexpected (ISSP 2019) 21-30 June 2019, EMFCSC, Erice, Italy.
  10. M. Khelashvili, A. Gavrilik, I. Kachurik, Galaxy Rotation Curves Within µ-Deformed Dark Matter Model 28th Annual Student Conference: Week of Doctoral Students 2019, 4-6 June 2019, Charles University, Prague, Czech Republic. WDS'19 Proceedings of Contributed Papers: Part III — Physics, Prague, Matfyzpress, pp. 48-49, 2019.
  11. Yu. Bespalov Categories: between cubes and globes., XI Bolyai-Gauss-Lobachevsky (BGL-2019) International Conference: Non-Euclidean, Non-Commutative Geometry and Quantum Physics, May 19-24, 2019, Kiev, Ukraine. Book of Abstracts, p. 7.
Монографії, статті в журналах, інші публікації
  1. A.M. Gavrilik, I.I. Kacurik, M.V. Khelashvili, A.V. Nazarenko. Condensate of μ-Bose gas as a model of dark matter, Physica A: Stat. Mech. & Its Applics. 506 (2018), pp.835-843.
  2. A.M. Gavrilik. Geometric Aspects and Some Uses of Deformed Mo¬dels of Thermostatistics, Universe, vol. 4 (2018), paper id. 0033, 11 pages.
  3. A.M.Gavrilik, I.I.Kachurik. Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscilators, Mod. Phys. Lett. A (December 2018), online DOI:https://doi.org/10.1142/S021773231950007X
  4. A.V. Zolotaryuk. Origin of resonant tunneling through single-point barriers, Physica E: Low-dimens. Systems & Nanostruct. 103 (2018), pp. 81-86.
  5. A.V. Zolotaryuk. A phenomenon of splitting resonant-tunneling one-point interactions, Annals of Physics, 2018, vol. 396, pp. 479-494.
  6. P. Gavrylenko, N. Iorgov, O. Lisovy. On solutions of the Fuji-Suzuki-Tsuda system, SIGMA 14 (2018), paper. id. 123, 27 pages.
  7. T. Skrypnyk. Modified n-level, n-1 mode Tavis-Cummings model and algebraic Bethe ansatz, J. Phys. A: Math. Theor. 51 (2018), paper id. 015204, 12 pages.
  8. T. Skrypnyk. Reductions in soliton hierarchies and special points of classical r-matrices, J. Geom. & Phys. 130 (2018), pp.260-287.
  9. T. Skrypnyk. Separation of variables in the anisotropic Shottky-Frahm model, Theor. Math. Phys. 196 (2018), pp.1359-1377.
  10. T. Skrypnyk. B. Dubrovin, Separation of variables for linear Lax algebras and classical r-matrices, J. Math. Phys. 59 (2018), paper. id. 091405, 18 pages.
  11. A.M. Pavlyuk. Generalized Equidistant Chebyshev Polynomials and Alexander Knot Invariants, Ukr. J. Phys. 63 (2018), No. 6, pp. 488-494.
  12. C. Marboe, D. Volin. The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system, J. Phys. A 51 (2018), paper id. 165401, 53 pages.
Монографії, статті в журналах, інші публікації
  1. A.V. Zolotaryuk. Families of one-point interactions resulting from the squeezing limit of the sum of two- and three-delta-like potentials. J. Phys. A: Math. Theor., 2017, 50, 225303 (19pp).
  2. A.V. Nazarenko, V. Blavatska. A one-dimensional random walk in a multi-zone environment, J. Phys. A: Math. Theor., 50, 185002 (2017), 11 pp.;
  3. A.V. Nazarenko, V. Blavatska. Asymmetric random walk in a one-dimensional multizone environment, Ukr. J. Phys., 62, № 6 (2017), pp. 508-517;
  4. T. Skrypnyk. Separation of variables in anisotropic models and non-skew-symmetric elliptic r-matrices, Letters in Mathematical Physics, V. 107, No 5, (2017), p.793-812.
  5. T. Skrypnyk. Separation of variables in anisotropic models: anisotropic Rabi and elliptic Gaudin model in an external magnetic field, J. Phys. A: Math. Theor., 50, 325206 (2017).
  6. M.A. Bershtein, A.I. Shchechkin. Backlund transformation of Painleve III (D8) tau function, J. Phys. A: Math. Theor. 50 (2017) 115205, 28 pages.
  7. M.A. Bershtein, A.I. Shchechkin. q-deformed Painleve tau function and q-deformed conformal blocks, J. Phys. A: Math. Theor. 50 (2017) 085202, 21 pages.
  8. Christian Marboe, Dmytro Volin. Fast analytic solver of rational Bethe equations, J. Phys. A: Math. Theor., 50 (2017), 204002, 12 pages.
Монографії, статті в журналах, інші публікації
  1. Gavrilik A.M., Kachurik I.I., New version of pseudo-Hermiticity in the Two-Sided Defor­mation of Heisenberg Algebra, Mod. Phys. Lett. A 31, no.4 (2016) paper 1650024 (14 pp.).
  2. Alexandre M. Gavrilik, Ivan I. Kachurik, Nonstandard Deformed Oscillators from q- and p, q-Deformations of Heisenberg Algebra, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications), 12 (2016) paper 047 (12 pp.).
  3. Nazarenko A.V., Kulinich Yu.A. Relativistic kinematics of two-parametric Riemann surface in genus two. Hadronic J. 39, 181-198 (2016).
  4. О.В. Золотарюк, Л.С. Брижик, Я.О. Золотарюк, Солітонна динаміка в м'яких молекулярних структурах, В книзі Наукова рада з проблеми Фізика м'якої речовини (Львів-Київ, 2016) с. 34-43.
© 2024
Інститут теоретичної фізики ім. М.М. Боголюбова НАН України
03143 Україна, Київ, вул. Метрологічна 14-б
Телефон: +380 (44) 521 34 23
Email: itp@bitp.kiev.ua