Gómez-Ullate Oteiza, David

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First Name
Last Name
Gómez-Ullate Oteiza
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Físicas
Física Teórica
Matemática Aplicada
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Now showing 1 - 2 of 2
  • Publication
    Validating ocean general circulation models via Lagrangian particle simulation and data from drifting buoys
    (Springer, 2019) Bedi, Karan; Gómez-Ullate Oteiza, David; Izquierdo, Alfredo; Fernández Montblanc, Tomás
    Drifting Fish Aggregating Devices (dFADs) are small drifting platforms with an attached solar powered buoy that report their position with daily frequency via GPS. We use data of 9,440 drifting objects provided by a buoys manufacturing company, to test the predictions of surface current velocity provided by two of the main models: the NEMO model used by Copernicus Marine Environment Monitoring Service (CMEMS) and the HYCOM model used by the Global Ocean Forecast System (GOFS).
  • Publication
    A Bochner type characterization theorem for exceptional orthogonal polynomials
    (Elsevier science, 2019-04-01) García Ferrero, María Ángeles; Gómez-Ullate Oteiza, David; Milson, Robert
    It was recently conjectured that every system of exceptional orthogonal polynomials is related to a classical orthogonal polynomial system by a sequence of Darboux transformations. In this paper we prove this conjecture, which paves the road to a complete classification of all exceptional orthogonal polynomials. In some sense, this paper can be regarded as the extension of Bochner's result for classical orthogonal polynomials to the exceptional class. As a supplementary result, we derive a canonical form for exceptional operators based on a bilinear formalism, and prove that every exceptional operator has trivial monodromy at all primary poles.