Sub-proyecto MTM2005-08648-C02-01

Listado de publicaciones (list of publications).

Preprints:

  1. M.J. Cantero, B. Simon, Poisson Brackets of Orthogonal Polynomials. Por aparecer en J. Approx. Theory, doi:10.1016/j.jat.2007.07.001. También preprint math.CA/0610989.
  2. Juan J. Moreno-Balcázar, Teresa E. Pérez, Miguel A. Piñar, A generating function for non-standard orthogonal polynomials involving differences: the Meixner case. Preprint  arXiv:0706.0551 [math.CA].
  3. A.B.J. Kuijlaars, P.M.J. Tibboel, The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights, to appear in Journal of Computational and Applied Mathematics. También preprint arXiv:0708.3956 [math.CA].
  4. O. Njastad, L. Velazquez, Wall rational functions and Khrushchev's formula for orthogonal rational functions, aceptado en Constructive Approximation. También preprint arXiv:0711.0544 [math.CA].
  5. P. Martínez-González, A. Zarzo, Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials. Aceptado en J. Comput. Applied Math.
  6. J.D. Canca Ortíz, J.A. Parejo, A. Zarzo, F. Guerrero, A Dynamic Distribution and Assignment Simulation approach for pedestrian and attraction based transportation planning. (preprint).
  7. J.C. Cuchí, J.C. Angulo, B. Soler, A. Zarzo, The Minimum Cross-entropy method as a tool for approximating non-negative functions (preprint).
  8. 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 Reserach”, Nova Science Publishers (aceptado).
  9. M. Duits and A.B.J. Kuijlaars, Universality in the two matrix model: a Riemann-Hilbert steepest descent analysis, aceptado en Communications on Pure and Applied Mathematics.
  10. S. Delvaux and A.B.J. Kuijlaars, A phase transition for non-intersecting Brownian motions and the Painlevé II equation, preprint arXiv:0809.1000 [math.CA]. 
  11. A.R. Its, A.B.J. Kuijlaars, and J. Östensson, Asymptotics for a special solution of the thirty fourth Painlevé equation, preprint arXiv:0811.3847 [math.CA].
  12. M. J. Cantero, F. A. Grünbaum, L. Moral and L. Velazquez, Matrix valued Szegö polynomials and quantum random walks, preprint arXiv:0901.2244 [quant-ph, math.CA].
  13. A. Bultheel and M.J. Cantero. A matricial computation of rational quadrature formulas on the unit circle, Numer. Algorithms, 2008. Published online 13 december 2008. (PDF) (doi: 10.1007/s11075-008-9257-9).
  14. M. Alfaro, J.J. Moreno-Balcázar, A. Peña, M.L. Rezola. Asymptotics for a generalization of Hermite polynomials,  enviado.
  15. A.I. Aptekarev, J.S. Dehesa, A. Martinez-Finkelshtein, Asymptotics of orthogonal polynomial's entropy. Por aparecer en el Journal of Comput. Applied Math.

2009:

  1. A.B.J. Kuijlaars, A. Martinez-Finkelshtein, F. Wielonsky, Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Comm. Math. Phys. 286, 217–275 (2009), DOI 10.1007/s00220-008-0652-9.  
  2. M. Alfaro, J.J. Moreno-Balcazar, A. Peña, M.L. Rezola, Sobolev orthogonal polynomials: balance and asymptotics. Trans. Amer. Math. Soc. 361 (2009), 547-560. También preprint math.CA/0606589.
  3. Dan Dai, Arno B. J. Kuijlaars. Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight, Studies in Applied Mathematics 122 (2009), 29-83. También preprint arXiv:0804.2564 [math.CA].

2008:

  1. G. Lopez Lagomasino, A. Martinez-Finkelshtein, I. Perez-Izquierdo, and H. Pijeira-Cabrera, Strong Asymptotics for Sobolev orthogonal polynomials in the complex plane. Journal of Mathematical Analysis and Applications, 340, 521-535 (2008).
  2. L. Velázquez, Spectral methods for orthogonal rational functions, J. Functional Analysis 254, 954-986 (2008). También preprint arXiv:0704.3456v1 [math.CA].
  3. M. J. Cantero, R. Cruz-Barroso, P. González-Vera, A matrix approach to the computation of quadrature formulas on the unit circle. Applied Numerical Mathematics 58, 3, 296-318 (2008). También preprint math.CA/0606388.
  4. A.I. Aptekarev, J.S. Dehesa, A. Martinez-Finkelshtein, R. Yañez, Discrete entropies of orthogonal polynomials. Constr. Approx. DOI 10.1007/s00365-008-9028-9. También preprint arXiv:0710.2134 [math.CA].
  5. A.I. Aptekarev, A.B.J. Kuijlaars and W. Van Assche, Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0), International Mathematics Research Papers 2008 (2008), article ID rpm007, 128 pages. También preprint arXiv:0708.0946 [math.CA].
  6. Maurice Duits, Arno B.J. Kuijlaars, An equilibrium problem for the limiting eigenvalue distribution of banded Toeplitz matrices.  SIAM Journal on Matrix Analysis and Applications 30, No.1, (2008), 173-196. También preprint 0704.0378.
  7. A.R. Its, A.B.J. Kuijlaars, J. Östensson, Critical edge behavior in unitary random matrix ensembles and the thirty fourth Painleve transcendent. International Mathematics Research Notices 2008 (2008), article ID rnn017, 67 pages. También preprint 0704.1972.
  8. T. Claeys and A.B.J. Kuijlaars, Universality in unitary random matrix ensembles when the soft edge meets the hard edge, in: "Integrable Systems and Random Matrices: In honor of Percy Deift", (Baik et al, eds.), Contemporary Mathematics 458, Amer. Math. Soc., Providence, R.I. 2008, pp. 265-280.
  9. T. Claeys, A.B.J. Kuijlaars, and M. Vanlessen, Multi-critical unitary random matrix ensembles and the general Painlevé II equation, Annals of Mathematics 168 (2008), 601-642.
  10. E. Daems, A.B.J. Kuijlaars, and W. Veys, Asymptotics of non-intersecting Brownian motions and a 4 × 4 Riemann-Hilbert problem. Journal of Approximation Theory 153 (2008), 225-256. También preprint math.CV/0701923.
  11. R.J. Yáñez, P. Sánchez-Moreno, A. Zarzo, and J.S. Dehesa, Fisher information of special functions and second-order differential equations, J. Math. Phys. 49 (2008) 082104.

2007:

  1. P. M. Bleher, A.B.J. Kuijlaars, Large n limit of Gaussian random matrices with external source, part III: double scaling limit. Comm. Math. Phys. 270, 481-517 (2007). Tamibén preprint math.CA/0602064.
  2. A. Martinez-Finkelshtein, J. F. Sanchez-Lara, Shannon entropy of symmetric Pollaczek polynomials. Journal of Approximation Theory, 145, 55–80 (2007). También preprint math.CA/0504250.
  3. M.J. Cantero, L. Moral, L. Velazquez, Matrix orthogonal polynomials whose derivatives are also orthogonal. Journal of Approximation Theory, 146  (2007),  no. 2, 174-211. También preprint math.CA/0603366.
  4. K. Driver, K. Jordaan, and A. Martínez-Finkelshtein, Pólya frequency sequences and real zeros of some 3F2 polynomials. Journal of Mathematical Analysis and Applications 332, 1045-1055 (2007).
  5. A. Zarzo, R.J. Yáñez and J.S. Dehesa, General recurrence and ladder relations of hypergeometric-type functions, J. Comput. Appl. Math. 207 (2), 166-179 (2007).
  6. A.B.J. Kuijlaars, H. Stahl, W. Van Assche, and F. Wielonsky, Type II Hermite-Padé approximation to the exponential function, J. Comput. Appl. Math. 207 (2), 227-244 (2007).
  7. F. Marcellán, A. Martínez-Finkelshtein, P. Martínez-González, Electrostatic models for zeros of polynomials: old, new, and some open problems. J. Comput. Appl. Math. 207 (2), 258-272 (2007). También preprint math.CA/0512293.
  8. J. J. Moreno-Balcázar, A note on the zeros of Freud-Sobolev orthogonal polynomials. J. Comput. Appl. Math. 207 (2), 338-344 (2007).
  9. M.G. de Bruin, W.G.M. Groenevelt, F. Marcellán, H.G. Meijer, J.J. Moreno-Balcázar, Asymptotics and zeros of symmetrically coherent pairs of Hermite type, Difference Equations, Proceedings de “International Conference on Difference Equations, Special Functions and Applications”, 378-393, 2007.
  10. Juan J. Moreno Balcázar, Algunos resultados recientes en polinomios ortogonales de Sobolev, Actas del XX Congreso de Ecuaciones Diferenciales y Aplicaciones y X Congreso de Matemática Aplicada, 1-7, 2007, ISBN: 978-84-690-7182-3.

2006:

  1. J. S. Dehesa, A. Martínez-Finkelshtein, V. N. Sorokin, Information-theoretic measures for Morse and Pöschl-Teller potentials, Molecular Physics 104 (4), 613-622 (2006).
  2. A. Martinez-Finkelshtein, Equilibrium Problems of the Potential Theory in the Complex Plane. In "Orthogonal Polynomials and Special Functions", Lecture Notes Math. 1883, Van Assche, Walter; Marcellán, Francisco (Eds.), 79-117 (2006).
  3. A. Martinez-Finkelshtein, K. T.-R. McLaughlin, and E. B. Saff, Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Internat. Math. Research Notices (2006), Art. ID 91426, 43 pp. Preprint math.CA/0605715.
  4. A. Martinez-Finkelshtein, Szegö polynomials: a view from the Riemann-Hilbert window. Electronic Trans. Numer. Anal. 25, 369-392 (2006). También preprint math.CA/0508117.
  5. F. Marcellán, J.J. Moreno-Balcázar, Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports. Acta Applicandae Mathematicae 94(2), 163-192, 2006.
  6. M. Duits, A.B.J. Kuijlaars, Painleve I asymptotics for orthogonal polynomials with respect to a varying quartic weight. Nonlinearity 19, 2211-2245 (2006).  También preprint math.CA/0605201.
  7. M.J. Cantero, L. Moral, L.Velázquez, Measures on the unit circle and unitary truncations of unitary operators, J. Approx. Theory, 139, 430-468 (2006).

 

Última revisión: 23 de Marzo de 2009