Bogatyrev A. B. Integralnye uravneniya PS_3 i proektivnye struktkry na rimanovykh poverkhnostyakh // Matematicheskii sbornik, t. 192(2001), vyp. 4, s. 3–36.
Bogatyrev A. B. Uravneniya Puankare–Steklova i zadacha monodromii Rimana // Funktsionalnyi analiz i prilozheniya, t. 34(2000), vyp. 2, s. 9–22.
Bogatyrev A. B. Ob effektivnom vychislenii mnogochlenov Chebysheva dlya mnogikh otrezkov // Matematicheskii sbornik, t. 190(1999), vyp. 11, s. 15–50.
Bogatyrev A. B. Diskretnyi spektr zadachi dlya pary operatorov Puankare–Steklova // Doklady RAN, t. 358(1998), vyp. 3, s. 295–297.
Bogatyrev A. B. O raspolozhenii dvukh molekul, minimiziruyuschem vzveshennuyu summu kvadratov mezhatomnykh rasstoyanii // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, t. 38(1998), vyp. 7, s. 1091–1094.
Sergei Bezrodnykh, Andrei Bogatyrëv, Sergei Goreinov, Oleg Grigor'ev, Harri Hakula, Matti Vuorinen, “On capacity computation for symmetric polygonal condensers”, J. Comput. Appl. Math., 361 (2019), 271–282 , arXiv: 1804.01420
A. B. Bogatyrev, “Combinatorial description of a moduli space of curves and of extremal polynomials”, Sb. Math., 194:10 (2003), 1451–1473
11.
A. Bogatyrev and K. Metlov, “What makes magnetic skyrmions different from magnetic bubbles?”, J. Magnetism and Magnetic Materials, 465:2 (2018), 743–746
A. B. Bogatyrev, “Representation of moduli spaces of curves and calculation of extremal polynomials”, Sb. Math., 194:4 (2003), 469–494
14.
A. B. Bogatyrev, “Real meromorphic differentials: A language for describing meron configurations in planar magnetic nanoelements”, Theoret. and Math. Phys., 193:1 (2017), 1547–1559 , arXiv: 1610.04984
15.
A. Bogatyrev and O.Grigoriev, “Conformal mapping of rectangular heptagons II”, Computational Methods and Function Theory, 18:2 (2018), 221–238 , arXiv: math.CV/1612.01127
A. B. Bogatyrev, S. A. Goreinov, S. Yu. Lyamaev, “Analytical approach to multiband filter synthesis and comparison to other approaches”, Problems Inform. Transmission, 53:3 (2017), 260–273 , arXiv: 1612.01753
17.
A. B. Bogatyrev, “Image of Abel-Jacobi map for Hypereliptic genus 3 and 4 curves”, Journal of Approximation Theory, 191 (2015), 38–45 , arXiv: 1312.0445
A. B. Bogatyrev, “Manifolds of support sets of Chebyshev polynomials”, Math. Notes, 67:6 (2000), 699–706
19.
A. B. Bogatyrev, “Chebyshev polynomials and navigation in the moduli space of hyperelliptic curves”, Russian J. Numer. Anal. Math. Modelling, 14:3 (1999), 205–220
Andrei B. Bogatyrev and Konstantin L. Metlov,, “Topological constraints on positions of magnetic solitons in multiply-connected planar magnetic nano-elements”, Physical Review B, 95:2 (2017), 024403 , arXiv: 1609.02509
Bogatyrev A. B. and K.L. Metlov, “Magnetic states in multiply connected flat nanoelements”, Low temperature physics, 41:10 (2015), 984–988 , American Institute of Physics, arXiv: 1504.01162
A. B. Bogatyrev, “Rational functions admitting double decompositions”, Trans. Moscow Math. Soc., 2012, 161–165
23.
A. Bogatyrev, M. Hassner, D. Yarmolich, “An exact analytical-expression for the read sensor signal in magnetic data storage channels”, Error-Correcting Codes, Finite Geometries and Cryptography, Contemporary Math., 523, eds. A. A. Bruen, D. L. Wehlau, Amer. Math. Soc., 2010, 155–160
A. B. Bogatyrev, O. A. Grigor'ev, “Filtration under a Stepped Dam and Riemann Theta Functions”, Proc. Steklov Inst. Math., 311 (2020), 10–21
33.
A. B. Bogatyrev, “Combinatorial analysis of the period mapping: the topology of 2D fibres”, Sb. Math., 210:11 (2019), 1531–1562
34.
A. B. Bogatyrev, K. L. Metlov, “Metastable states of sub-micron scale ferromagnetic periodic antidot arrays”, Journal of Magnetism and Magnetic Materials, 489 (2019), 165416 , 5 pp., arXiv: arXiv:1810.06011v1
A. B. Bogatyrev, O. A. Grigoriev, “Closed Formula for the Capacity of Several Aligned Segments”, Proc. Steklov Inst. Math., 298 (2017), 60–67 , arXiv: 1512.07154
36.
A. B. Bogatyrev, Q. Gendron, “The number of components of the Pell–Abel equations with primitive solutions of given degree”, Russian Math. Surveys, 78:1 (2023), 208–210
37.
A.B. Bogatyrev, “Projective view at optimization problem for multiband filter”, Proceedings of AMS, 149:7 (2021), 3021-3035 , arXiv: 1912.00197
A.B.Bogatyrev, K.L.Metlov, “Corrigendum to "What makes magnetic skyrmions different from magnetic bubbles ?"”, Journal of Magnetism and Magnetic Materials [J. Magn. Magn. Mater. 465(2018) 743], 522 (2021), 167526 (to appear)
42.
Bogatyrev A., Coordinate spaces of graphs: approaching interior faces, 2020 , 13 pp., arXiv: 2009.11822
A. Bogatyrev, “Recent Progress in Optimization of Multiband Electrical Filters”, Approximation and Optimization, Conference on Approximation and Optimization: Algorithms, Complexity and Applications, Springer Optimization and Its Applications, 145, eds. I.C.Demetriou, P.M.Pardalos, Springer, 2019, 135-150 (Published online) , arXiv: 1806.05020
45.
A. Bogatyrev, O. Grigor'ev, Water flow under rectangular dam, 2018 , arXiv: 1805.03542
46.
Andrei B. Bogatyrev, Sergei A. Goreinov, and Sergei Yu. Lyamaev, “Efficient synthesis of optimal multiband filter”, Russian Journal of Numerical Analysis and Mathematical Modelling, 32:4 (2017), 217–223
47.
Andrei Bogatyrev, Combinatorial analysis of the periods mapping: topology of $2D$ fibers, 2016 , arXiv: 1606.03397
48.
Andrei Bogatyrev, Real meromorphic differentials: a language for the meron configurations in planar nanomagnets, 2016 , arXiv: 1610.04984
49.
Andrei B. Bogatyrev, Oleg A. Grigoriev, Capacity of several aligned segments, 2015 , arXiv: 1512.07154
50.
A. B. Bogatyrev, Rational functions admitting double decompositions, 2010 , arXiv: 1012.4577
51.
A. B. Bogatyrev, Elementary construction of Jenkins-Strebel differentials, 2010 , arXiv: 1012.4585
52.
A. B. Bogatyrev, “Pictorial Representations of antisymmetric Eigenfunctions of PS-3 integral Equations”, Math. Physics, Analysis and Geometry, 13 (2010), 105–143
53.
A. B. Bogatyrev, V. I. Lebedev, Yu. M. Nechepurenko, “Optimal methods in problems of computational mathematics”, Russ. J. Num. Anal. Math. Modelling, 25:5 (2010), 453–475
54.
A. Bogatyrev, “Poincaré-Steklov integral equations and moduli of pants”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 21–48
55.
A. B. Bogatyrev, “Antisimmetrichnye resheniya integralnykh uravnenii Puankare-Steklova”, Doklady RAN (Matematika), 420:3 (2008), 378–382
56.
A. B. Bogatyrev, Ekstremalnye mnogochleny i rimanovy poverkhnosti, Izdatelstvo MTsNMO, Moskva, 2005 , 178 pp.
57.
A. B. Bogatyrev, “Extremal polynomials and algebraic curves (a survey)”, Advances in constructive approximation, eds. E. Saff, M. Neamtu, Nashboro Press, Brentwood, TN, 2004, 109–122
58.
A. B. Bogatyrev, “On relative position of two biopolymer molecules minimizing the weighted sum of interatomic distances squared”, Optimization in computational chemistry and molecular biology. Local and global approaches, Nonconvex Optim. Appl., 40, eds. C. A. Floudas, P. M. Pardalos, Kluwer Acad. Publ. BV, Boston, 2000, 263–266
59.
A. B. Bogatyrev, “Relative arrangement of two molecules resulting in minimization of the weighted sum of the interatomic distances squared”, Comput. Math. Math. Phys., 38:7 (1998), 1042–1045
60.
A. B. Bogatyrev, “Degeneration of a graph describing conformal structure”, Sb. Math., 214:3 (2023), 383–395
Enumerative problem for Pell–Abel equation A. B. Bogatyrev International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin November 21, 2023 17:30
Пространство разрешимых уравнений Пелля-Абеля II A. B. Bogatyrev Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 1, 2023 18:30
Пространство разрешимых уравнений Пелля-Абеля A. B. Bogatyrev Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) June 28, 2023 14:00
Рациональная аппроксимация и отображение периодов A. B. Bogatyrev Conference of Professors of the RAS in the Department of Mathematical Sciences of the Russian Academy of Sciences June 16, 2016 10:00
Contact us: