Sub-proyecto MTM2008-06689-C02-01

Listado de publicaciones (list of publications).

Preprints:

  1. D. Canca, A. Zarzo, E. Algaba, E. Barrena, A Dynamic Distribution and Assignment Simulation approach for pedestrian and attraction based transportation planning. Preprint, enviado (2011).
  2. D. Canca, A. Zarzo, P.L. González, E. Barrena, E. Algaba, A methodology for schedule-based paths recommendation in multimodal public transportation networks. Preprint, enviado (2011).
  3. D. Canca, E. Algaba, E. Barrena, A. Zarzo, Performance measures of railway timetables. Preprint, enviado (2011).
  4. M.J. Cantero, F.A. Grünbaum, L. Moral, L. Velázquez, One-dimensional quantum walks with one defect, Rev. Math. Phys. (to appear).  Also preprint arXiv:1010.5762 [quant-ph].
  5. F.A. Grünbaum, L. Velázquez, The quantum walk of F. Riesz, in Proceedings of FoCAM2011, London Mathematical Society Lecture Notes Series (to appear). Also preprint arXiv:1111.6630.
  6. M.J. Cantero, L. Moral, L. Velázquez, Spectral transformations of hermitian linear functionals, Contemporary Mathematics (to appear).
  7. F.A. Grünbaum, L. Velázquez, A.H. Werner, R.F. Werner, Recurrence for discrete time unitary evolutions. Preprint arXiv:1202.3903.
  8. M.J. Cantero, A. Iserles, Orthogonal polynomials on the unit circle and functional differential equations. Preprint: Cambridge NA2011/08 Reports.  http://www.damtp.cam.ac.uk/user/na/reports.htm
  9. M.J: Cantero, A. Iserles, On a curious q-hypergeometric identity, Festschrift volume for Th. Rassias, Springer-Verlag (to appear). Preprint: Cambridge NA2011/09 Reports.  http://www.damtp.cam.ac.uk/user/na/reports.htm
  10. B. Olmos, R. González-Férez, I. Lesanovsky, L. Velázquez, Universal time-evolution of a Rydberg lattice gas with perfect blockade. Preprint  arXiv:1203.0385v1 [quant-ph].
  11. M.J. Cantero, A. Iserles, On expansions in orthogonal polynomials, Advances in Computational Mathematics (to appear) DOI: 10.1007/s10444-011-9225-0. Also preprint: Cambridge NA2011/05 Reports.  http://www.damtp.cam.ac.uk/user/na/reports.htm
  12. M.J. Cantero, A. Iserles, On rapid computation of expansions in ultraspherical polynomials, SIAM Journal of Numerical Analysis (to appear). Preprint: Cambridge 05NA2011/04 Reports.  http://www.damtp.cam.ac.uk/user/na/reports.htm
  13. D. Ramos-López, A. Martínez-Finkelshtein, G. M. Castro-Luna, N. Burguera-Gimenez, A. Vega-Estrada, D. Piñero, J. L. Alió, Anterior Corneal Irregularity Characterization by Means of New Placido-Based Indices: A Preliminary Study in Keratoconus and Subclinical Keratoconus Patients. Preprint, 2011.
  14. A. Martinez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, Heine, Hilbert, Padé, Riemann, and Stieltjes: a John Nuttall's work 25 years later, to appear in Contemporary Mathematics. Also preprint arXiv:1111.6139.
  15. J. F. Sánchez-Lara. On the Sobolev orthogonality of classical orthogonal polynomials for non standard parameters. Enviado, preprint 2011.
  16. Arno B.J. Kuijlaars and A. Hardy, Weakly admissible vector equilibrium problems, to appear in J. Approx. Theory (arXiv:1110.6800).
  17. K. Deschout and Arno B.J. Kuijlaars, Critical behavior in Angelesco ensembles, manuscript 2012 (arXiv:1203.2749).
  18. P.M. Bleher and Arno B.J. Kuijlaars, Orthogonal polynomials in the normal matrix model with a cubic potential, manuscript 2011 (arXiv:1106.6168).
  19. Martin Bender, Steven Delvaux, Arno B. J. Kuijlaars, Multiple Meixner-Pollaczek polynomials and the six-vertex model, preprint arXiv:1101.2982.

2009:

  1. A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Communications in Mathematical Physics 286, 217–275 (2009), doi 10.1007/s00220-008-0652-9. Also preprint arXiv:0712.1333 [math.CA].
  2. A.R. Its, A.B.J. Kuijlaars, and J. Östensson, Asymptotics for a special solution of the thirty fourth Painlevé equation, Nonlinearity 22 (2009), 1523-1558. Also preprint arXiv:0811.3847 [math.CA].
  3. V. P. Kostov, A. Martínez-Finkelshtein, B. Z. Shapiro, Narayana numbers and Schur-Szegö composition. Journal of Approximation Theory 161, 464-476 (2009).
  4. O. Njastad, L. Velazquez, Wall rational functions and Khrushchev's formula for orthogonal rational functions, Constr. Approx. 30 (2009) 277-297.
  5. A. Martínez-Finkelshtein, A. M. Delgado, G. M. Castro, A. Zarzo, J. L. Alió, Comparative analysis of some modal reconstruction methods of the shape of the cornea from the corneal elevation data, Investigative Ophthalmology and Visual Science 50 (12), 5639-5645 (2009).
  6. A. Bultheel, M.J. Cantero. A matricial computation of rational quadrature formulas on the unit circle. Numerical Algorithms, 52, no. 1, 47-68 (2009).
  7. M. Alfaro, M. J. Cantero, L. Moral, L. Velázquez, Hermitian modifications of Toeplitz linear functionals and orthogonal polynomials, capítulo de “New topics in Mathematical Physics Research”, Nova Sci. Publ., New-York, 2009, pp. 343-355

2010:

  1. A. Martinez-Finkelshtein, E. A. Rakhmanov, On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. In “Recent Trends in Orthogonal Polynomials and Approximation Theory” (J. Arvesú, F. Marcellán and A. Martínez-Finkelshtein eds.), Contemporary Mathematics 507, 209-232 (2010). Also preprint  arXiv:0903.2614 [math.CA]. 
  2. F. Marcellán and A. Martínez-Finkelshtein, Guillermo López Lagomasino: mathematical life. In “Recent Trends in Orthogonal Polynomials and Approximation Theory” (J. Arvesú, F. Marcellán and A. Martínez-Finkelshtein eds.), Contemporary Mathematics 507, 1-24 (2010).
  3. A. B. J. Kuijlaars, Multiple orthogonal polynomial ensembles. In “Recent Trends in Orthogonal Polynomials and Approximation Theory” (J. Arvesú, F. Marcellán and A. Martínez-Finkelshtein eds.), Contemporary Mathematics 507, 155-176 (2010).
  4. P. Martínez-González, A. Zarzo, Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials, J. Comput. Appl. Math. 233, No. 6 (2010), 1577-1583.
  5. M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, Asymptotics for a generalization of Hermite polynomials,  Asymptotic Analysis 66, 103-117 (2010).
  6. A. Foulquie Moreno, A. Martínez-Finkelshtein, V.L. Sousa, On a conjecture of A. Magnus concerning the asymptotic behavior of  the recurrence coefficients of the generalized Jacobi polynomials. Journal of Approximation Theory 162 (2010) 807–831. Also preprint arXiv:0905.2753 [math.CA].
  7. A. I. Aptekarev, J. S. Dehesa, A Martínez-Finkelshtein, R.J. Yáñez, Quantum expectation values of D-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics, J. Phys. A: Math. Theor. 43 (2010) 145204 (10pp).
  8. J. S. Dehesa, S. López-Rosa, A. Martínez-Finkelshtein, R. J. Yáñez. Information theory of D-dimensional hydrogenic systems. Application to circular and Rydberg states. International Journal of Quantum Chemistry 110 (8), 1529-1548 (July 2010).
  9. M. J. Cantero, F. A. Grünbaum, L. Moral and L. Velazquez, Matrix valued Szegö polynomials and quantum random walks, Comm. Pure and Appl. Math., Vol. LXIII, 0464-0507 (2010). Also preprint arXiv:0901.2244 [quant-ph, math.CA].
  10. Laura Castaño-García, Juan J. Moreno-Balcázar, Mehler-Heine type formulas for some Sobolev ortogonal  polynomials, Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2010) (ISBN 978-84-613-5510-5), 333-341, 2010.
  11. E.X.L. de Andrade, C.F. Bracciali, L. Castaño-García, J.J. Moreno-Balcázar, Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures, J. Approx. Theory 162 (11), 1945-1963,  2010.
  12. C. F. Bracciali, L. Castaño-García, J.J. Moreno-Balcázar, Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights, J. Comput. Appl. Math.  235(4), 904-915, 2010.
  13. Steven Delvaux, Arno B.J. Kuijlaars, A graph-based equilibrium problem for the limiting distribution of non-intersecting Brownian motions at low temperature. Constructive Approximation 32 (2010), 467--512. Also preprint arXiv:0907.2310 [math.CA]
  14. A.B.J. Kuijlaars, P. Román, Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths. Journal of Approximation Theory 162 (2010), 2048-2077. Also preprint arXiv:0911.3831 [math.CA]
  15. A. Deano, D. Huybrechs, A. B. J. Kuijlaars, Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. Journal of Approximation Theory 162 (2010), 2202-2224. Also preprint arXiv:1001.2219 [math.CA]
  16. Arno B. J. Kuijlaars, Multiple orthogonal polynomials in random matrix theory. In: Proceedings of the International Congress of Mathematicians, Volume III, Hyderabad, India, 2010, pp. 1417-1432. Also preprint arXiv:1004.0846 [math.PR]

2011-2012:

  1. A. Foulquie Moreno, A. Martínez-Finkelshtein, V.L. Sousa, Asymptotics of orthogonal polynomials for a weight with a jump on [-1,1]. Constructive Approximation 33, 219-263 (2011). También preprint arXiv:0904.2514 [math.CA].
  2. A. Martínez-Finkelshtein, B. Simon, Asymptotics of the L^2 Norm of Derivatives of OPUC. J. Approx. Theory 163, 747-778 (2011). También preprint arXiv:1006.0900 [math.CA].
  3. M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola, A new approach to the asymptotics for Sobolev oprthogonal polynomials, J. Approx. Theory 163 (2011), 460-480. Also preprint arXiv:1003.3336 [math.CA]
  4. J.J. Moreno-Balcázar, T.E. Pérez, M.A. Piñar, A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case”. The Ramanujan Journal 25 (2011), 21-35.
  5. J.J. Moreno-Balcázar, Varying Jacobi-Krall orthogonal polynomials: local asymptotic behaviour and zeros,  The Ramanujan Journal, publicado online, DOI 10.1007/s11139-011-9339-5, 2011.
  6. R.S. Costas-Santos, J.J. Moreno-Balcázar, The semiclassical-Sobolev orthogonal polynomials: a general approach, J. Approx. Theory 163 (1), 65-83, 2011. Also preprint arXiv:1003.4612 [math.CA].
  7. Laura Castaño-García, Juan J. Moreno-Balcázar, Varying Laguerre-Sobolev-type orthogonal polynomials: a first approach,  en Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2011) (ISBN 978-84-614-6167-7), 296-301, 2011.
  8. Arno Kuijlaars, Man Yue Mo, The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials. Computational Methods and Function Theory 11 (2011), 161-178. Also preprint arXiv:0909.5626 [math.CA]. 
  9. Pavel Bleher, Steven Delvaux, Arno B.J. Kuijlaars, Random matrix model with external source and a constrained vector equilibrium problem. Communications on Pure and Applied Mathematics 64 (2011), 116-160. Also preprint arXiv:1001.1238 [math.CA].
  10. A. Martinez-Finkelshtein, E. A. Rakhmanov, Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials. Comm. Math. Physics 302, 53-111 (2011). Also preprint arXiv:0902.0193 [math.CA]
  11. A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, Variation of the equilibrium measure and the S-property of stationary compact sets, Uspekhi Mat. Nauk, 66:1(397) (2011), 183–184 (in Russian). Traducción al inglés en: Russian Mathematical Surveys, 2011, 66:1, 176-178.
  12. A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, Variation of the equilibrium measure and the S-property of stationary compact sets, Mat. Sbornik, 202:12 (2011), 113–136 (in Russian). English translation in: Sbornik: Mathematics 202:12 1831–1852 (2011).
  13. A. Martínez-Finkelshtein, D. Ramos-López, G. M. Castro-Luna, J. L. Alió, Adaptive cornea modeling from keratometric data. Investigative Ophthalmology and Visual Science 52 (8) (2011), 4963-4970. Also preprint arXiv:1009.1244 [math.CA].
  14. K. Deckers, M.J. Cantero, L. Moral, L. Velázquez, An extension of the associated rational functions on the unit circle. J. Approx. Theory. 163 (2011), 534-546. Also preprint arXiv:0911.1657 [math.CA]
  15. M.J. Cantero, L. Moral, L. Velázquez, Direct and inverse polynomial perturbations of hermitian linear functionals. J. Approx. Theory. 163 (2011), 988-1028.
  16. A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, Padé approximants, continued fractions, and orthogonal polynomials. Uspehi Mat. Nauk 66 (6), (2011), 37-122 (in Russian). English translation in Russian Math. Surveys 66:6 1049–1131 (2011).
  17. F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martinez-Finkelshtein, Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization, SIGMA 7 (2011), 098, 31 pages. También preprint arXiv:1106.1307 [math.CA].
  18. A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths: critical time and double scaling limit. Comm. Math. Physics. 308 (2011), 227-279. También preprint  arXiv:1011.1278 [math.CA].
  19. D. Ramos-López, A. Martínez-Finkelshtein, G. M. Castro-Luna, D. Piñero, J. L. Alió, Placido-based indices of corneal irregularity, Optometry and Vision Science 88 (10) (2011), 1220-1231.
  20.  R.S. Costas Santos, J. F. Sánchez Lara. Orthogonality of q-polynomials for non-standard parameters, Journal of Approximation Theory 163 (2011), 1246-1268.
  21. Steven Delvaux, Arno B. J. Kuijlaars, Lun Zhang, Critical behavior of non-intersecting Brownian motions at a tacnode. Comm. Pure Appl. Math. 64 (2011), no. 10, 1305–1383. Also preprint arXiv:1009.2457 [math.PR].
  22. Rodrigo B. Platte, L. Nick Trefethen, and Arno B.J. Kuijlaars, Impossibility of approximating analytic functions from equispaced samples, SIAM Rev. 53 (2011), no. 2, 308–318.
  23. Maurice Duits, Dries Geudens, Arno B. J. Kuijlaars, A vector equilibrium problem for the two-matrix model in the quartic/quadratic case. Nonlinearity 24 (2011), no. 3, 951–993. Also preprint arXiv:1007.3137 [math.CA]
  24. Klaas Deschout and Arno B.J. Kuijlaars, Double scaling limit for modified Jacoasbi-Angelesco polynomials, in “Notions of Positivity and the Geometry of Polynomials” (P. Brändén, M. Passare, and M. Putinar, eds.), Trends in Mathematics, Springer, Basel, 2011, pp. 115-161.
  25. Arno B.J. Kuijlaars, Universality, Chapter 6 in “The Oxford Handbook on Random Matrix Theory” (G. Akemann, J. Baik, and P. Di Francesco, eds.), Oxford University Press, 2011, pp. 103-134.
  26. A.I. Aptekarev and Arno B.J. Kuijlaars, Hermite-Padé approximations and multiple orthogonal polynomial ensembles, Uspekhi Mat. Nauk. 66:6 (2011), 123-190 (in Russian). English translation in Russian Math. Surveys 66 (2011), 1133-1199.
  27. Maurice Duits, Arno B.J. Kuijlaars, and Man Yue Mo, The Hermitian two-matrix model with an even quartic potential, Memoirs Amer. Math. Soc. 217 No. 1022 (2012), vi+105 pp., also preprint arXiv:1010.4282.
  28. I. Area, E. Godoy, A. Ronveaux, A. Zarzo, Bivariate second-order linear parcial differential equations and orthogonal polynomial solutions. Journal of Mathematical Analysis and Applications 387 (2012), (2), 1188-1208. Also preprint arXiv:1101.2640. 
  29. P. Sánchez-Moreno, A. Zarzo and J.S. Dehesa, Jensen divergence based on Fisher’s information, J. Phys. A: Math. Theor. 45 (2012) 125305 (14pp). Also preprint arXiv:1012.5041.