Restaurantes Santiago

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Restaurantes Santiago Restaurantes Santiago

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Home Alexander Aptekarev
Alexander Aptekarev PDF Print E-mail
Written by Alexander Aptekarev   
Friday, 29 April 2011 18:47

Alexander Aptekarev

Catedrático de Excelencia

Universidad Carlos III de Madrid
Departamento de Matemáticas

Avenida de la Universidad, 30
CP-28911, Leganés, Madrid.

Despacho: 2.2D17 (Edificio Sabatini)
Teléfono: +34 916249408
FAX: +34 91 624 9151
E-Mail: 
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Curriculum Vitae


Alexander Aptekarev


List of Publications

 


 

  1. Asymptotics of Hadamard Determinants and Convergence of Rows of  Pade  Approximants for Sums of the Exponential Functions, Matem.Sbornik. 113(155),(1980),   520 - 537; English transl. in Math. USSR Sb. 113.
  2. On Convergence of Rational Approximants to the System of Exponential   Functions, Vest. Moscow Univ.(ser.Mat.-Mech), 1,(1981), 68-74;   English transl. in Moscow Univ.Math.Bull 36(1),(1981), 81-86
  3. Pade Approximation for the System of Hipergeometric Functions, Vest. Moscow Univ.(ser.Mat.-Mech), 2,(1981), 58-62;   English transl. in Moscow Univ.Math.Bull 36(2),(1981), 73-76
  4. The Scattering Problem for a Discrete Sturm-Liouville Operator, Matem. Sbornik. 121(163),(1983),327 - 358; (jointly with E.M.Nikishin); English transl. in Math. USSR Sb. 49,(1984)
  5. Asymptotic Properties of Polynomials Orthogonal on a System  of Contours  and Periodic Motions of Toda Lattices, Matem. Sbornik. 125(167),(1984),231 - 258; English transl. in Math. USSR Sb. 53,(1986),233 - 260.
  6. Forced Motions of Langmuire Lattices, in Theory of Functions and   Approximations, V.2, S.M.Nikolski editor, SGU Izd., Saratov 1986, 17-21,   (in Russian).
  7. Analytic Properties of Two-Dimensional Continued P-Fraction Expansions with Periodic Coefficients and their Simultaneous Pade - Hermite Approximants.  in Rational Approximation and Applications in Math. and Phys., Lecture Notes in Math., vol. 1237, Springer - Verlag, (1987), 145 - 160. (Jointly with V. A. Kaljagin).
  8. Asymptotics of the Simultaneously Orth. Polynomials in the Angelesco Case. Mathem. Sbornik. 136(178),(1988),56 - 84;  English transl. in Math. USSR Sb. 64,(1989),57 - 84.
  9. Applications of Finite Elements of High Order to Numerical Analysis of a     Potential Subsonic Compressible Flows in Computational Fluid Dynamics in SU-Japan, Vol.3, editors P.Chushkin, V.Korobeinikov, Comp.Center of  the USSR Ac.Sci., Moscow (1989), 26-33, (jointly with L.Volevich)
  10. Discrete Sturm - Liouville Operator and the Theory of Orthogonal Polynomials. Appendix in the Monography : E. M. Nikishin, Collected Problems of the  Mathematical Analysis. Center Nauka Publish., Tula (1990), 421 -429, (in Russian). (Jointly with B. M. Levitan).
  11. Simultaneouse Pade Approximants, Appendix in the Monography : E. M. Nikishin, Collected Problems of the  Mathematical Analysis. Center Nauka Publish., Tula (1990), 412 -420,  (in Russian). (Jointly with V.A.Kaliagin).
  12. Asymptotics of Hermite-Pade Polynomials. Chapter in "Progress in   Approximation Theory", A. Gonchar and E. Saff editors, Spinger-Verlag N-Y., 1992, 127-167. (Jointly with H. Stahl).
  13. Asymptotics  of General Orthogonal Polynomials near the End Points of the Interval of Orthogonality. Mathem. Sbornik, vol.183 (5), 1992, 43-61., English transl. in Math. USSR Sb. 183,(1992).
  14. A Direct Proof for Trefethen's Conjecture in Methods of Approximation  Theory, A.Gonchar and E.Saff editors, Nauka, S-Petersburg, 1992 and in Lecture Notes in Math., 1550, (Springer-Verlag, Berlin), 1993
  15. Spatial entropy of central potentials and strong symptotics of orthogonal polynomials, J. Math. Phys., 1994, 35(9), 4423-4428, (jointly with Dehesa J., Yanez R.)
  16. Asymptotic behaviour of the Lp-norms and the Entropy for General Orthogonal  Polynomials, Matem.Sbornik, 185,(1994),373 - 395;  English transl. in Russ Acad.Sci.Sb.Math. 82(2),(1995),373 - 395 (jointly with V.Buyarov and J.S.Dehesa)
  17. Strong asymptotics for Laguerre polynomials and information entropy of 2D harmonic  Oscilator and Coulomb potentials, J. Math. Phys.,1994, 39, 1-11 (jointly with V.Buyarov, Dehesa J., Yanez R.)
  18. Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators,  Proceedings of the American Mathematical Society, 123(8),1995, 2423-2430, (Jointly with V. A. Kaljagin and W. Van Asshe).
  19. Asymptotics for entropy integrals of orthogonal polynomials, Doklady Russian Ac.Sci. 346,4,1996,439-441 (in Russian); English translation in Doklady Mathematics 53,1,1996,47-49, (jointly with V.Buyarov, J.Dehesa, W.Van Assche)
  20. Toda-Type Differential Equations for the Recurrence Coefficients of  Orthogonal Polynomials and Freud Transformation, J. Comput. Appl. Math 78,(1997),139-160,   (jointly with A.Branquinho and F.Marcellan)
  21. Semiclassical Multiple Orthogonal Polynomials and the Properties of Jacobi-Bessel Polynomials, J. Approx. Theory, 90(1),(1997), 117-146,  (jointly with F.Marcellan and I.A.Rocha)
  22. Complex Rational Approximation and Difference Operators, Rendiconti del circolo matamatico di Palermo, Ser.II,Suppl. 52(1998),3-21,  (jointly with V.Kalyagin)
  23.  Multiple Orthogonal Polynomials, J. Comput. Appl. Math ,99,(1998),423-447.
  24.  Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle, Journ. Appr. Theory,100, (1999), 381-391,  (jointly with E.Berriochoa and A.Cachafeiro)
  25. Strong Asymptotics for multiple orthogonal polynomials of Nikishin's systems, Mathematical Sbornik 190(5),(1999), 3-44,  English transl. in Russ Acad.Sci.Sb.Math. 190(5),(1999),631 - 669
  26. Genetic sum representation for the moments of a system of Stieltjes functions and its application, Constructive Approximations, 16, (2000), 487-524,  (jointly with V.Kalyagin and J.Van Iseghem)
  27. On asymptotics of the exact constant for Markov-Bernshetin inequalities for integral  norms with classical  weights, Uspekhi Mat. Nauk. 55(1),2000,173-174, (in Russian); English translation in Russian Math. Survey (jointly with V.Kaliaguine and A.Draux)
  28. On convergence of Stieltjes vector continued fractions asymptotics, Doklady Russian Ac.Sci. 375,6,2000, (in Russian);  English translation in Doklady Mathematics ,2000, (jointly with M.Castro-Smirnova)
  29. On characterisation of integrability for the reciprocal weight function   for orthogonal polynomials on the circle, Acta Aplicandae Matematicae,61, (2000), 81-86,    (jointly with E.Berriochoa and A.Cachafeiro)
  30. Asymptotics of discrete orthogonal  polynomials and the continuum limit of the Toda lattice , Journal of Physics A: Mathematics and General, 34(48), 2001,10627-10639. (jointly with  W. Van Assche)
  31. The Sharp Constants for Rational Approximants of Analytic Functions , Matem. Sbornik  193(1), 2002, 3-72, English transl. in Russ Acad.Sci.Sb.Math. 193,(2002), 2-72
  32. Orthogonal polynomials with respect to a linear form, Rocky Mountain J.  Math. 32 (2002), 1-15.  (jointly with Lopez Lagomasino G. and Marcellian F.)
  33. Discrete spectra of certain corecursive Pollaczek polynomials and its applications. Function Theory and Computational Methods, 2002, 2(2),  519-537, (jointly with D.Tulyakov  and A.Draux)
  34. Pade approximants and complex high order Toda Lattices, Journal of Computational and Applied Mathematics, 155, 2003, 231-237, (jointly with A. Branquinho)
  35. Multiple orthogonal polynomials for classical weights, Transactions of the American Mathematical Society , 2003,  355(10), 3887-3914 , (jointly with A. Branquinho and W. Van Assche)
  36. Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Pade approximants and complex orthogonal polynomials with varying weight, Journal Approximation Theory, 129(2), 2004, 129-166, (jointly with  W. Van Assche)
  37. A numerical method   of solution of the direct and inverse problems of numerical conformal map, Russian J. Math. Phys. 11, 3 (2004), 277-288.(jointly with Kazandjan and L.R.Volevich )
  38. Some mathematical aspects of the potential flow computation, Russian J. Math. Phys. 11, 3 (2004), 259-276. (jointly with L.R.Volevich )
  39. Ratio asymptotics of the Hermite-Pade polinomials for the Nikishin system, Mathematical Sbornik  196(8), 2005, 4-20, English transl. in Russ Acad.Sci.Sb.Math. 196,(2002), 1089-1107 (jointly with Lopez Lagomasino G. and Rocha I.A..)
  40. Large $n$ limit of Gaussian random matrices with external source, part II, Commun. Math. Physics, 259, (2005), 367-389, (jointly with P. M. Bleher, A. B.J. Kuijlaar.)
  41. On the variational representation of the solution to some hyperbolic system of equations by means of the logarithmic potential with external field, Doklady Russian Ac.Sci. 409,2006,12-14 (in Russian); English translation in Doklady Mathematics . 409,2006,  (jointly with Yu. Rykov)
  42. On the Variational Representation of Solutions to Some Quasilinear Equations and Systems of Hyperbolic Type on the Basis of Potential Theory, Russian J. Math. Phys. 13, 3 (2006), 4-12, (jointly with Yu Rykov)
  43. A Scalar Riemann bounadry value approach to the orthogonal polynomials on the circle, Journal Approximation Theory, 141, 2006, 174-181, (jointly with  Cachafeiro A.,  Marcellan F)
  44. On the limit behaviour of recurrence coefficients for multiple orthogonal polynomials, Journal Approximation Theory, 139, 2006, 346-370, (jointly with KalyaginV., Lopez Lagomasino G. and Rocha I.A..)
  45. Asymptotic series for polynomials orthogonal with respect to complex varying weight, Trudy Moscow Mathematical Society, 68, 2006, 3-44, (in Russian);  English translation in Trans  Mos. Math. Soc , 68, 2006,  (jointly with R. Khabibullin)
  46. The four-term recurrence relations for gamma-forms, Modern Problems of Mathematics, 9, 2007, 37-43 (in Russian);  (jointly with D.Tulyakov)
  47. Asymptotic of gamma-forms generated by multiple orthogonal polynomials, Modern Problems of Mathematics, 9, 2007, 55-62 (in Russian);   (jointly with V.Lysov)
  48. Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients, Journal Approximation Theory, 150, 2008, 214-238, (jointly with J. Geronimo and W. Van Assche)
  49. Asymptotics of Hermite-Pade approximants for pair of functions with branch points, Doklady Russian Ac.Sci. 422,4,2008, 1-3 (in Russian);  English translation in Doklady Mathematics 422,2008,
  50. Asymptotics of Hermite-Pad´e Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0), International Mathematics Research Papers, Vol. 2008, Article ID rpm007, 128 pages. doi:10.1093/imrp/rpm007 (jointly with A.B.J. Kuijlaars and W. Van Assche)
  51. Higher-Order Three-Term Recurrences and Asymptotics of Multiple Orthogonal Polynomials, Constructive  Approximations  (2009) 30: 175-223, (jointly with V.A. Kalyagin and  E.B. Saff)
  52. On the determinant of an integer lattice generated by rational approximants of the Euler constant, Trudy Moscow Mathematical Society, 70, 2009, 329-345, (in Russian); English translation in Trans.  Mos. Math. Soc , 70, 2009,  (jointly with D. N. Tulyakov)
  53. Equilibrium of vector potentials and uniformization of the algebraic curves of genus 0, Journal of Computational and Applied Mathematics, 233 (2009), 602 - 616, (jointly with V.A. Kalyagin, V. G. Lysov and D. N. Tulyakov)
  54. Discrete Entropies of Orthogonal Polynomials, Constructive Approximations  (2009) 30: 93-119, (jointly with  J.S. Dehesa,  A. Martínez-Finkelshtein  and R. Yáñez)
  55. Global eigenvalue distribution regime of random matrices with an anharmonic otential and external source Theoretical and Mathematical Physics, (2009), 159(1): 447 - 467, (jointly with V. G. Lysov and D. N. Tulyakov)
Last Updated on Wednesday, 15 February 2012 14:40