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Aptekarev Alexander Ivanovich
Aptekarev Alexander Ivanovich
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1989)

Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 11.03.1955
Phone: +7 (495) 250 78 56
E-mail:
Keywords: mathematics.
UDC: 517.53, 517.3, 517.5, 517.51, 517.9, 530.145

Subject:

Mathematics.


Main publications:
  1. A. I. Aptekarev, E. D. Belega, J. S. Dehesa, “Rydberg multidimensional states: Rényi and Shannon entropies in momentum space”, J. Phys. A: Math. Theor., 54:3 (2021), 035305 , 19 pp.  crossref  mathscinet  isi  scopus
  2. Alexander I. Aptekarev, Sergey A. Denisov, and Maxim L. Yattselev, “Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials”, Trans. of the Amer. Math. Soc., 373:2 (2020), 875–917  crossref  isi  scopus
  3. Alexander I. Aptekarev, Walter Van Assche, Maxim L. Yattselev, “Hermite–Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports”, Commun. Pure Appl. Math., 70:3 (2017), 444–510  mathnet  crossref  mathscinet  zmath  isi  scopus
  4. A. I. Aptekarev, S. A. Denisov, D. N. Tulyakov, “On a problem by Steklov”, J. Amer. Math. Soc., 29 (2016), 1117–1165  crossref  mathscinet  zmath  isi  elib  scopus
  5. A. I. Aptekarev, “The Mhaskar–Saff Variational Principle and Location of the Shocks of Certain Hyperbolic Equations”, Contemporary Mathematics, 661 (2016), 167–186  crossref  mathscinet  zmath  isi  scopus
  6. A. I. Aptekarev, M. L. Yattselev, “Pade approximants for functions with branch points – strong asymptotics of Nuttall–Stahl polynomials”, Acta Math., 215 (2015), 217–280  crossref  mathscinet  zmath  isi  elib  scopus
  7. A. I. Aptekarev, “Spectral Problems of High-Order Recurrences”, Amer. Math. Soc. Transl., 233 (2014), 43–61  crossref  mathscinet  zmath
  8. A. I. Aptekarev, P. M. Bleher, A. B. J. Kuijlaars, “Large $n$ limit of Gaussian random matrices with external source. II”, Comm. Math. Phys., 259:2 (2005), 367–389  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  9. A. I. Aptekarev, “Sharp constants for rational approximations of analytic functions”, Sb. Math., 193:1 (2002), 1–72  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  10. A. I. Aptekarev, “Strong asymptotics of multiply orthogonal polynomials for Nikishin systems”, Sb. Math., 190:5 (1999), 631–669  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  11. A. I. Aptekarev, “A direct proof for Trefethen's conjecture”, Methods of Approximation Theory in Complex Analysis and Mathematical Physics, May 13–24, 1991, Leningrad, Lecture Notes in Math., 1550, Springer, Berlin, 1993, 147–148  crossref  mathscinet  zmath
  12. A. I. Aptekarev, “Asymptotics of simultaneously orthogonal polynomials in the Angelesco case”, Math. USSR-Sb., 64:1 (1989), 57–84  mathnet  crossref  mathscinet  zmath  isi  scopus

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