Andrei's recent publications

Andrei's recent publications
Professor of Mathematics
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Preprints:

  • A. Aptekarev, G. López-Lagomasino, A. Martínez-Finkelshtein, Strong asymptotics for the Pollaczek multiple orthogonal polynomials ensembles, preprint arXiv math.1410.1261.
  • M. Hunziker, A. Martinez-Finkelshtein, T. Poe, B. Simanek, Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials, preprint arXiv math.2101.12165.

Papers:

2021
  • A. Martinez-Finkelshtein, G. Silva, Spectral curves, variational problems, and the hermitian matrix model with external sourceComm. Math. Physics 383 (3), (2021) 2163-2242, https://doi.org/10.1007/s00220-021-03999-y. Also preprint ArXiv math:1907.08108.
  • M. Hunziker, A. Martinez-Finkelshtein, T. Poe, B. Simanek, On foci of ellipses inscribed in cyclic polygons, in F. Gesztesy, A. Martinez-Finkelshtein (eds.), "From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory", Operator Theory: Advances and Applications 285https://doi.org/10.1007/978-3-030-75425-9_12, pages 213-238. Also preprint arXiv math.2101.12638
2020
  • Martínez-Finkelshtein, A., Silva Ribeiro, L.L., Sri Ranga, A. et al., Complementary Romanovski–Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functions, Results Math (2020) 75: 42. https://doi.org/10.1007/s00025-020-1167-8. 
  • G. M. Castro-Luna, A. Martínez-Finkelshtein, D. Ramos-López, Robust keratoconus detection with Bayesian network classifier for Placido-based corneal indices, Contact Lens & Anterior Eye 43 (2020), 366-372.
2019
  • A. Martínez-Finkelshtein, L.L. Silva Ribeiro, A. S. Ranga, M. Tyaglov, Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions, Proceedings of the AMS 147 (6) (2019), 2625–2640, https://doi.org/10.1090/proc/14423. Also preprint arXiv math.1806.02232.
  • A. Martinez-Finkelshtein, G. Silva, Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weightAdvances in Mathematics 349 (2019), 246-315. Also preprint ArXiv math:1805.01748.
  • A. Martínez-Finkelshtein, Brian Simanek, Barry SimonPoncelet's Theorem, Paraorthogonal Polynomials and the Numerical Range of Compressed Multiplication OperatorsAdvances in Mathematics 349 (2019), 992-1035. Also preprint arXiv math.1810.13357.
2018
  • A. Martínez-Finkelshtein, A. S. Ranga, D. O. Veronese, Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure, Mathematics of Computation 87 (309) (2018), 261-288. Also preprint arXiv math.1505.07788.
  • C. F. Bracciali, A. Martínez-Finkelshtein, A. S. Ranga, D. O. Veronese, Christoffel formula for kernel polynomials on the unit circle, J. Approximation Theory 235 (2018) 46–73. Also preprint arXiv math.1701.04995.
  • C. Beltrán, F. Marcellán, A. Martínez-Finkelshtein, Some extremal problems of roots of orthogonal polynomials (in Spanish), La Gaceta de la RSME 21 (2), 2018, 345-366.
  • A. B. Castaño-Fernández, A. Martínez-Finkelshtein, and D. Robert Iskander, A semi-analytic approach to calculating the Strehl ratio for a circularly symmetric system. Part 1: static wavefronts, Optica Applicata XLVII (2) (2018), 201-210, doi 10.5277/oa180204.
  • A. B. Castaño-Fernández, A. Martínez-Finkelshtein, and D. Robert Iskander, A semi-analytic approach to calculating the Strehl ratio for a circularly symmetric system. Part 2: dynamic wavefronts, Optica Applicata XLVII (2) (2018), 211-223, doi 10.5277/oa180205.

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