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.
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
2.
A. B. Bogatyrev, “Degeneration of a graph describing conformal structure”, Sb. Math., 214:3 (2023), 383–395
3.
Andrei Bogatyrev, Quentin Gendron, The space of solvable Pell-Abel equations, 2023 (to appear) , 29 pp., arXiv: 2306.00884
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)
2020
7.
A. B. Bogatyrev, O. A. Grigor'ev, “Filtration under a Stepped Dam and Riemann Theta Functions”, Proc. Steklov Inst. Math., 311 (2020), 10–21
8.
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
11.
Bogatyrev A.B., “Blaschke product for bordered surfaces”, Analysis and Mathematical Physics, 9 (2019), 1877–1886 , arXiv: 1807.08731
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 analysis of the period mapping: the topology of 2D fibres”, Sb. Math., 210:11 (2019), 1531–1562
14.
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. 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. Bogatyrev, O. Grigor'ev, Water flow under rectangular dam, 2018 , arXiv: 1805.03542
17.
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, “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
19.
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
20.
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
21.
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
22.
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
Andrei Bogatyrev, Combinatorial analysis of the periods mapping: topology of $2D$ fibers, 2016 , arXiv: 1606.03397
25.
Andrei Bogatyrev, Real meromorphic differentials: a language for the meron configurations in planar nanomagnets, 2016 , arXiv: 1610.04984
2015
26.
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
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, “Elementary Construction of Strebel Differentials”, Math. Notes, 91:1 (2012), 135–138
31.
A. B. Bogatyrev, “Rational functions admitting double decompositions”, Trans. Moscow Math. Soc., 2012, 161–165
32.
A. B. Bogatyrev, “Conformal mapping of rectangular heptagons”, Sb. Math., 203:12 (2012), 1715–1735
2010
33.
A. B. Bogatyrev, Rational functions admitting double decompositions, 2010 , arXiv: 1012.4577
34.
A. B. Bogatyrev, Elementary construction of Jenkins-Strebel differentials, 2010 , arXiv: 1012.4585
35.
A. B. Bogatyrev, “Pictorial Representations of antisymmetric Eigenfunctions of PS-3 integral Equations”, Math. Physics, Analysis and Geometry, 13 (2010), 105–143
36.
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, “Chebyshev representation for rational functions”, Sb. Math., 201:11 (2010), 1579–1598
38.
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
2009
39.
A. B. Bogatyrev, “Prime form and Schottky model”, Comp. Methods and Function Theory, 9:1 (2009), 47–55
A. Bogatyrev, “Poincaré-Steklov integral equations and moduli of pants”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 21–48
2008
41.
A. B. Bogatyrev, “Antisimmetrichnye resheniya integralnykh uravnenii Puankare-Steklova”, Doklady RAN (Matematika), 420:3 (2008), 378–382
2007
42.
A. B. Bogatyrev, “Computations in moduli spaces”, Comp. Methods and Function Theory, 7:2 (2007), 309–324
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
2003
47.
A. B. Bogatyrev, “Fibers of periods map are cells?”, J. Comp. Appl. Math., 153:1-2 (2003), 547–548
A. B. Bogatyrev, “Combinatorial description of a moduli space of curves and of extremal polynomials”, Sb. Math., 194:10 (2003), 1451–1473
49.
A. B. Bogatyrev, “Representation of moduli spaces of curves and calculation of extremal polynomials”, Sb. Math., 194:4 (2003), 469–494
2002
50.
A. B. Bogatyrev, “Effective approach to least deviation problems”, Sb. Math., 193:12 (2002), 1749–1769
2001
51.
A. B. Bogatyrev, “PS$_3$ integral equations and projective structures on Riemann surfaces”, Sb. Math., 192:4 (2001), 479–514
2000
52.
A. B. Bogatyrev, “Poincaré–Steklov Integral Equations and the Riemann Monodromy Problem”, Funct. Anal. Appl., 34:2 (2000), 86–97
53.
A. B. Bogatyrev, “Manifolds of support sets of Chebyshev polynomials”, Math. Notes, 67:6 (2000), 699–706
54.
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
1999
55.
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
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
1993
60.
A. B. Bogatyrev, “On Spectra of Pairs of Poincare-Steklov operators”, Russ. J. Num. Math. and Math. Modelling, 8:3 (1993), 177–194
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
2023
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