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Publications in Math-Net.Ru |
Citations |
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2017 |
| 1. |
A. I. Aptekarev, G. López Lagomasino, A. Martínez-Finkelshtein, “On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials”, Uspekhi Mat. Nauk, 72:3(435) (2017), 3–64     ; Russian Math. Surveys, 72:3 (2017), 389–449   |
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2016 |
| 2. |
Andrei Martínez-Finkelshtein, Evguenii A. Rakhmanov, Sergey P. Suetin, “Asymptotics of type I Hermite–Padé polynomials for semiclassical functions”, Contemp. Math., 661 (2016), 199–228 |
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2015 |
| 3. |
A. Martínez-Finkelshtein, R. Orive, E. A. Rakhmanov, “Phase transitions and equilibrium measures in random matrix models”, Comm. Math. Phys., 333:3 (2015), 1109–1173 |
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2013 |
| 4. |
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “A differential equation for Hermite–Padé polynomials”, Uspekhi Mat. Nauk, 68:1(409) (2013), 197–198 ; Russian Math. Surveys, 68:1 (2013), 183–185 |
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2012 |
| 5. |
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Heine, Hilbert, Padé, Riemann, and Stieltjes: a John Nuttall's work 25 years later”, Contemp. Math., 578 (2012), 165–193 |
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| 6. |
V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Method of interior variations and existence of $S$-compact sets”, Trudy Mat. Inst. Steklova, 279 (2012), 31–58 ; Proc. Steklov Inst. Math., 279 (2012), 25–51 |
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2011 |
| 7. |
A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Uspekhi Mat. Nauk, 66:6(402) (2011), 37–122 ; Russian Math. Surveys, 66:6 (2011), 1049–1131 |
61
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| 8. |
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium measure and the $S$-property of a stationary compact set”, Uspekhi Mat. Nauk, 66:1(397) (2011), 183–184 ; Russian Math. Surveys, 66:1 (2011), 176–178 |
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| 9. |
F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martínez-Finkelshtein, “Properties of Matrix Orthogonal Polynomials via their Riemann–Hilbert Characterization”, SIGMA, 7 (2011), 098, 31 pp. |
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| 10. |
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium energy and the $S$-property of stationary compact sets”, Mat. Sb., 202:12 (2011), 113–136 ; Sb. Math., 202:12 (2011), 1831–1852 |
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1999 |
| 11. |
D. Barrios, G. L. Lopes, A. Martínez-Finkelshtein, E. Torrano, “Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions”, Mat. Sb., 190:4 (1999), 23–42 ; Sb. Math., 190:4 (1999), 501–519 |
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1994 |
| 12. |
A. Martínez, A. Sarso, R. Yan'es, “Two approaches to the asymptotics of the zeros of a class of hypergeometric-type polynomials”, Mat. Sb., 185:12 (1994), 65–78 ; Russian Acad. Sci. Sb. Math., 83:2 (1995), 483–494 |
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1991 |
| 13. |
A. Martínez-Finkelshtein, “On the rate of rational approximation of the function $\exp(-x)$ on the positive semi-axis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 6, 94–96 |
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| Presentations in Math-Net.Ru |
| 1. |
Electrostatics for type II multiple orthogonal polynomials
A. Martínez-Finkelshtein
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
October 14, 2021 11:00
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| 2. |
Poncelet–Darboux, Kippenhahn, and Szegő: projective geometry, matrices and orthogonal polynomials
A. Martínez-Finkelshtein
Complex Approximations, Orthogonal Polynomials and Applications Workshop
June 11, 2021 09:30
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| 3. |
An orthogonal polynomials approach to Poncelet’s theorem, numerical range, Blaschke products, and beyond…
A. Martínez-Finkelshtein
Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
May 11, 2020 18:00
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