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Bogatyrev Andrei Borisovich

Total publications: 41
Scientific articles: 41
in MathSciNet: 30
in zbMATH: 28
in Web of Science: 18
in Scopus: 22
Cited articles: 24
Citations in Math-Net.Ru: 81
Citations in MathSciNet (by Sep 2017): 106
Citations in Web of Science: 53
Citations in Scopus: 68
Presentations: 26

Number of views:
This page:3092
Abstract pages:3147
Full texts:885
References:413
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:
Website: http://www.inm.ras.ru/persons/bab.htm
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.

http://www.mathnet.ru/eng/person8688
List of publications on Google Scholar
List of publications on ZentralBlatt
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=337598

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


1. 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  mathnet  crossref  elib
2. A. B. Bogatyrev, O. A. Grigor'ev, “Closed formula for the capacity of several aligned segments”, Complex analysis and its applications, Tr. Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017 (to appear)  mathnet
3. Andrei Bogatyrev, “How many Zolotarev fractions are there?”, Constr. Approx., 2016 (to appear) , arXiv: 1511.05346
4. Andrei Bogatyrev, Combinatorial analysis of the periods mapping: topology of $2D$ fibers, 2016 , arXiv: 1606.03397
5. Andrei B. Bogatyrëv, Konstantin L. Metlov, Topological constraints on positions of magnetic solitons in multiply-connected planar magnetic nano-elements, 2016 , arXiv: 1609.02509
6. Andrei Bogatyrev, Real meromorphic differentials: a language for the meron configurations in planar nanomagnets, 2016 , arXiv: 1610.04984
7. 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
8. 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  scopus
9. Andrei B. Bogatyrev, Oleg A. Grigoriev, Capacity of several aligned segments, 2015 , arXiv: 1512.07154
10. Bogatyrev A. B., Extremal Polynomials and Riemann Surfaces, Springer Monographs in Mathematics, Springer, Heidelberg, 2012  crossref  mathscinet (cited: 4)  zmath  scopus (cited: 2)
11. A. B. Bogatyrev, “Elementary Construction of Strebel Differentials”, Math. Notes, 91:1 (2012), 135–138  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
12. A. B. Bogatyrev, “Rational functions admitting double decompositions”, Trans. Moscow Math. Soc., 2012, 161–165  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 1)
13. A. B. Bogatyrev, “Conformal mapping of rectangular heptagons”, Sb. Math., 203:12 (2012), 1715–1735  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 5)
14. A. B. Bogatyrev, Rational functions admitting double decompositions, 2010 , arXiv: 1012.4577
15. A. B. Bogatyrev, Elementary construction of Jenkins-Strebel differentials, 2010 , arXiv: 1012.4585
16. 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
17. 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 (cited: 1)  zmath
18. A. B. Bogatyrev, “Chebyshev representation for rational functions”, Sb. Math., 201:11 (2010), 1579–1598  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 6)
19. 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
20. A. B. Bogatyrev, “Prime form and Schottky model”, Comp. Methods and Function Theory, 9:1 (2009), 47–55  crossref  mathscinet  zmath
21. A. Bogatyrev, “Poincaré-Steklov integral equations and moduli of pants”, Analysis and mathematical physics, Trends Math., Birkhäuser, Basel, 2009, 21–48  mathscinet  zmath
22. A. B. Bogatyrev, “Antisimmetrichnye resheniya integralnykh uravnenii Puankare-Steklova”, Doklady RAN (Matematika), 420:3 (2008), 378–382  mathnet  mathscinet  zmath
23. A. B. Bogatyrev, “Computations in moduli spaces”, Comp. Methods and Function Theory, 7:2 (2007), 309–324  crossref  mathscinet  zmath
24. 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: 2)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 3)
25. A. B. Bogatyrev, Ekstremalnye mnogochleny i rimanovy poverkhnosti, Izdatelstvo MTsNMO, Moskva, 2005 , 178 pp.  mathscinet (cited: 1)
26. A. B. Bogatyrev, “Effective computation of optimal stability polynomials”, Calcolo, 41:4 (2004), 247–256  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
27. 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 (cited: 1)  zmath
28. A. B. Bogatyrev, “Fibers of periods map are cells?”, J. Comp. Appl. Math., 153:1-2 (2003), 547–548  crossref  adsnasa  isi  scopus (cited: 1)
29. 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: 3)
30. 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: 3)
31. A. B. Bogatyrev, “Effective approach to least deviation problems”, Sb. Math., 193:12 (2002), 1749–1769  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 4)
32. 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: 2)  elib (cited: 4)  scopus (cited: 3)
33. 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: 2)  elib (cited: 7)  scopus (cited: 7)
34. 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)
35. 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 (cited: 37)  zmath
36. 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)
37. 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: 20)  scopus (cited: 18)
38. 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)
39. A. B. Bogatyrev, “Diskretnyi spektr zadachi dlya pary operatorov Puankare-Steklova”, Doklady RAN (Matematika), 358:3 (1998), 295–297  mathnet (cited: 3)  mathscinet (cited: 3)  zmath
40. 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
41. 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 (cited: 1)  zmath  scopus (cited: 4)

Presentations in Math-Net.Ru
1. Capacity of rectangular condensers and theta functions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 26, 2016 17:00
2. Vortexes in planar ferromagnet and real Prym differentials
A. B. Bogatyrev
Complex analysis and mathematical physics
November 1, 2016 16:00
3. 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
4. Рациональная аппроксимация и отображение периодов
A. B. Bogatyrev

June 16, 2016 10:00   
5. 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
6. Singularities in flat multiply connected ferromagnet and Abel's theorem
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
May 30, 2016 17:00
7. Closed formula for the capacity of several aligned segments
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
January 18, 2016 17:00
8. Enumeration problems associated with Zolotarev fractions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
October 26, 2015 18:00
9. The range of the period mapping
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 1, 2014 18:00
10. Reconstruction of the fibers of the period mapping
A. B. Bogatyrev
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 26, 2014 16:45
11. Poincare-Steklov Integral equation
A. B. Bogatyrev
Seminar on Operator Theory and Function Theory
October 27, 2014 17:30
12. Язык графов в задачах рационального приближения.
A. B. Bogatyrev
Seminar on Operator Theory and Function Theory
March 31, 2014 17:30
13. Liouville equation on compact bordered surfaces (continuation)
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 24, 2014 18:00
14. Liouville equation on compact bordered surfaces
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 17, 2014 18:00
15. Computation of Abelian integrals without quadratures
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
December 16, 2013 18:00
16. 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   
17. 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
18. Genus three theta functions and conformal mapping of rectangular polygons
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
February 4, 2013 18:00
19. 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
20. Poincare-Steklov integral equation: Episode 1
A. B. Bogatyrev
Complex analysis and mathematical physics
March 26, 2012 16:00
21. 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
22. Интегральные уравнения ПС-3, модули штанов и детские рисунки
A. B. Bogatyrev
Seminar of the Department of Algebra
November 8, 2011 15:00
23. Theta functions and conformal mappings
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 14, 2011 18:00
24. Rational functions admitting double decompositions
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
January 24, 2011 18:00
25. Strebel differentials on real algebraic curves
A. B. Bogatyrev
Seminar on Complex Analysis (Gonchar Seminar)
March 1, 2010 18:00
26. Представление решений интегрального уравнения ПС-3
A. B. Bogatyrev
Seminar of the Department of Differential Equations, Steklov Mathematical Institute of RAS
May 17, 2006

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