Bogatyrev, Andrei Borisovich

Total publications: 54 (54)
in MathSciNet: 38 (38)
in zbMATH: 34 (34)
in Web of Science: 30 (30)
in Scopus: 34 (34)
Cited articles: 34
Citations in Math-Net.Ru: 116
Citations in Web of Science: 106
Citations in Scopus: 119
Presentations: 34

Number of views:
This page:4697
Abstract pages:5512
Full texts:1707
Bogatyrev, Andrei Borisovich
Professor of Russian Academy of Sciences
Associate professor
Doctor of physico-mathematical sciences (2003)
Speciality: 01.01.07 (Computing mathematics)
Birth date: 1.08.1968
E-mail: ,
Keywords: boundary value problems, singular integrals, hyperbolic geometry, Riemann surfaces, Teichmueller spaces, Chebyshev optimization.
Main publications:
  • 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.
List of publications on Google Scholar
List of publications on ZentralBlatt

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

1. A. B. Bogatyrev, O. A. Grigor'ev, Анализ и математическая физика, Tr. Mat. Inst. Steklova, 311, Steklov Math. Inst., Moscow, 2020 (to appear)  mathnet

2. Bogatyrev A. B., Putevye zametki o rimanovykh poverkhnostyakh, IVM RAN, Moskva, 2019
3. 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  crossref  mathscinet  isi  scopus
4. Bogatyrev A.B., “Blaschke product for bordered surfaces”, Analysis and Mathematical Physics, 9 (2019), 1877–1886 , arXiv: 1807.08731  crossref  mathscinet  zmath  adsnasa  isi  scopus
5. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 3)
6. A. B. Bogatyrev, “Combinatorial analysis of the period mapping: the topology of 2D fibres”, Sb. Math., 210:11 (2019), 1531–1562  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
7. 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  crossref  isi  scopus
8. Bogatyrev A.B., Projective view at Optimization Problem for Multiband Filter, 2019 , 15 pp., arXiv: arXiv:1912.00197

9. 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  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
10. A. Bogatyrev, O. Grigor'ev, Water flow under rectangular dam, 2018 , arXiv: 1805.03542
11. A. Bogatyrev and K. Metlov, “What makes magnetic skyrmions different from magnetic bubbles?”, J. Magnetism and Magnetic Materials, 465:2 (2018), 743–746  crossref  adsnasa  isi (cited: 5)  scopus (cited: 5)

12. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 6)
13. 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  mathnet  crossref  crossref  isi (cited: 2)  elib  scopus (cited: 1)
14. 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  mathnet  crossref  isi (cited: 2)  elib  elib  scopus (cited: 2)
15. 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  mathscinet  zmath
16. 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  crossref  isi (cited: 4)  scopus (cited: 4)
17. Bogatyrev A. B., “How many Zolotarev fractions are there?”, Constructive approximation, 46:1 (2017), 37–45 , arXiv: 1511.05346  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)

18. Andrei Bogatyrev, Combinatorial analysis of the periods mapping: topology of $2D$ fibers, 2016 , arXiv: 1606.03397
19. Andrei Bogatyrev, Real meromorphic differentials: a language for the meron configurations in planar nanomagnets, 2016 , arXiv: 1610.04984

20. 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  crossref  mathscinet  zmath  scopus (cited: 5)
21. 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  crossref  isi (cited: 5)  scopus (cited: 1)
22. Andrei B. Bogatyrev, Oleg A. Grigoriev, Capacity of several aligned segments, 2015 , arXiv: 1512.07154

23. Bogatyrev A. B., Extremal Polynomials and Riemann Surfaces, Springer Monographs in Mathematics, Springer, Heidelberg, 2012  crossref  mathscinet  zmath  scopus (cited: 8)
24. A. B. Bogatyrev, “Elementary Construction of Strebel Differentials”, Math. Notes, 91:1 (2012), 135–138  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 2)
25. A. B. Bogatyrev, “Rational functions admitting double decompositions”, Trans. Moscow Math. Soc., 2012, 161–165  mathnet  crossref  mathscinet  zmath  elib  elib  scopus (cited: 2)
26. A. B. Bogatyrev, “Conformal mapping of rectangular heptagons”, Sb. Math., 203:12 (2012), 1715–1735  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 7)

27. A. B. Bogatyrev, Rational functions admitting double decompositions, 2010 , arXiv: 1012.4577
28. A. B. Bogatyrev, Elementary construction of Jenkins-Strebel differentials, 2010 , arXiv: 1012.4585
29. A. B. Bogatyrev, “Pictorial Representations of antisymmetric Eigenfunctions of PS-3 integral Equations”, Math. Physics, Analysis and Geometry, 13 (2010), 105–143  crossref  mathscinet  zmath  adsnasa  isi  scopus
30. 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  crossref  mathscinet  zmath
31. A. B. Bogatyrev, “Chebyshev representation for rational functions”, Sb. Math., 201:11 (2010), 1579–1598  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 6)
32. 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  crossref  mathscinet  zmath  isi  elib  scopus

33. A. B. Bogatyrev, “Prime form and Schottky model”, Comp. Methods and Function Theory, 9:1 (2009), 47–55  crossref  mathscinet  zmath
34. A. Bogatyrev, “Poincaré-Steklov integral equations and moduli of pants”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 21–48  mathscinet  zmath  elib

35. A. B. Bogatyrev, “Antisimmetrichnye resheniya integralnykh uravnenii Puankare-Steklova”, Doklady RAN (Matematika), 420:3 (2008), 378–382  mathnet  mathscinet  zmath

36. A. B. Bogatyrev, “Computations in moduli spaces”, Comp. Methods and Function Theory, 7:2 (2007), 309–324  crossref  mathscinet  zmath

37. A. B. Bogatyrev, “Effective solution of the problem of the optimal stability polynomial”, Sb. Math., 196:7 (2005), 959–981  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
38. A. B. Bogatyrev, Ekstremalnye mnogochleny i rimanovy poverkhnosti, Izdatelstvo MTsNMO, Moskva, 2005 , 178 pp.  mathscinet

39. A. B. Bogatyrev, “Effective computation of optimal stability polynomials”, Calcolo, 41:4 (2004), 247–256  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
40. 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  mathscinet  zmath

41. A. B. Bogatyrev, “Fibers of periods map are cells?”, J. Comp. Appl. Math., 153:1-2 (2003), 547–548  crossref  adsnasa  isi (cited: 1)  scopus (cited: 2)
42. A. B. Bogatyrev, “Combinatorial description of a moduli space of curves and of extremal polynomials”, Sb. Math., 194:10 (2003), 1451–1473  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  scopus (cited: 4)
43. A. B. Bogatyrev, “Representation of moduli spaces of curves and calculation of extremal polynomials”, Sb. Math., 194:4 (2003), 469–494  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 3)  scopus (cited: 4)

44. A. B. Bogatyrev, “Effective approach to least deviation problems”, Sb. Math., 193:12 (2002), 1749–1769  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)

45. A. B. Bogatyrev, “PS$_3$ integral equations and projective structures on Riemann surfaces”, Sb. Math., 192:4 (2001), 479–514  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 4)  scopus (cited: 3)

46. A. B. Bogatyrev, “Poincaré–Steklov Integral Equations and the Riemann Monodromy Problem”, Funct. Anal. Appl., 34:2 (2000), 86–97  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 7)  scopus (cited: 7)
47. A. B. Bogatyrev, “Manifolds of support sets of Chebyshev polynomials”, Math. Notes, 67:6 (2000), 699–706  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus (cited: 1)
48. 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  crossref  mathscinet  zmath

49. 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  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
50. A. B. Bogatyrev, “Effective computation of Chebyshev polynomials for several intervals”, Sb. Math., 190:11 (1999), 1571–1605  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 24)  scopus (cited: 21)

51. A. B. Bogatyrev, “A geometric method for solving a series of integral Poincaré–Steklov equations”, Math. Notes, 63:3 (1998), 302–310  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
52. A. B. Bogatyrev, “Diskretnyi spektr zadachi dlya pary operatorov Puankare-Steklova”, Doklady RAN (Matematika), 358:3 (1998), 295–297  mathnet (cited: 3)  mathscinet  zmath
53. 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  mathnet  mathscinet  zmath

54. A. B. Bogatyrev, “On Spectra of Pairs of Poincare-Steklov operators”, Russ. J. Num. Math. and Math. Modelling, 8:3 (1993), 177–194  crossref  mathscinet  zmath  scopus (cited: 4)

Presentations in Math-Net.Ru
1. Задачи геометрического дизайна для двумерной модели фильтрации жидкости
A. B. Bogatyrev
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 18, 2019 14:45   
2. Редукция размерности в задачах равномерной рациональной аппроксимации
A. B. Bogatyrev
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
June 5, 2019 14:00
3. Cyclic alternance
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
February 25, 2019 17:00
4. Vortex textures for doubly periodic planar nanomagnet with inclusions
A. B. Bogatyrev
Complex analysis and mathematical physics
November 27, 2018 16:00
5. Blaschke product for bordered surface
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
October 1, 2018 17:00
6. Filtration under the system of dams and Riemann theta functions
A. B. Bogatyrev
Mathematical Colloquium of the Bauman Moscow State Technical University
September 27, 2018 17:30
7. Calculation of hydraulic structures and Riemann theta functions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 12, 2018 17:00
8. A projective view of the problem of a multiband electrical filter
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 25, 2017 17:00
9. Capacity of rectangular condensers and theta functions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 26, 2016 17:00
10. Vortexes in planar ferromagnet and real Prym differentials
A. B. Bogatyrev
Complex analysis and mathematical physics
November 1, 2016 16:00
11. Meron configurations in a planar ferromagnet generated by real Prym differentials
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
October 3, 2016 17:00
12. 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   
13. A combinatorial analysis of a period map: a global topology of fibres
A. B. Bogatyrev
Seminar on analytic theory of differential equations
June 1, 2016 14:30
14. Singularities in flat multiply connected ferromagnet and Abel's theorem
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
May 30, 2016 17:00
15. Closed formula for the capacity of several aligned segments
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
January 18, 2016 17:00
16. Enumeration problems associated with Zolotarev fractions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
October 26, 2015 18:00
17. The range of the period mapping
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 1, 2014 18:00
18. Reconstruction of the fibers of the period mapping
A. B. Bogatyrev
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 26, 2014 16:45
19. Poincare-Steklov Integral equation
A. B. Bogatyrev
Seminar on Operator Theory and Function Theory
October 27, 2014 17:30
20. Язык графов в задачах рационального приближения
A. B. Bogatyrev
Seminar on Operator Theory and Function Theory
March 31, 2014 17:30
21. Liouville equation on compact bordered surfaces (continuation)
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 24, 2014 18:00
22. Liouville equation on compact bordered surfaces
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 17, 2014 18:00
23. Computation of Abelian integrals without quadratures
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 16, 2013 18:00
24. Uniform rational approximation: geometrical, computational and combinatorial aspects
A. B. Bogatyrev
Memorial conference dedicated to the memory of academician Andrei Aleksandrovich Gonchar
November 26, 2013 16:00   
25. Incidence relationships for the cell decomposition of the moduli space of real hyperelliptic curves. Part 1
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
April 8, 2013 18:00
26. Genus three theta functions and conformal mapping of rectangular polygons
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
February 4, 2013 18:00
27. A combinatorial approach to the study of the period map layers
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
April 2, 2012 18:00
28. Poincare-Steklov integral equation: Episode 1
A. B. Bogatyrev
Complex analysis and mathematical physics
March 26, 2012 16:00
29. Extremal polynomials and the fibres of the period map
A. B. Bogatyrev
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 9, 2011 16:45
30. Интегральные уравнения ПС-3, модули штанов и детские рисунки
A. B. Bogatyrev
Seminar by Algebra Department
November 8, 2011 15:00
31. Theta functions and conformal mappings
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 14, 2011 18:00
32. Rational functions admitting double decompositions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
January 24, 2011 18:00
33. Strebel differentials on real algebraic curves
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 1, 2010 18:00
34. Представление решений интегрального уравнения ПС-3
A. B. Bogatyrev
Seminar by Department of Differential Equation, Steklov Mathematical Institute of RAS
May 17, 2006

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