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SIGMA, 2013, Volume 9, 020, 11 pages (Mi sigma803)  

This article is cited in 3 scientific papers (total in 3 papers)

On a Seminal Paper by Karlin and McGregor

Mirta M. Castroa, F. Alberto Grünbaumb

a Departamento Matemática Aplicada II, Universidad de Sevilla, c/Virgen de África 7, 41011, Sevilla, Spain
b Department of Mathematics, University of California, Berkeley, Berkeley, CA 94720 USA

Abstract: The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their analysis and indicate a few applications of their very powerful method.

Keywords: birth-and-death processes; spectral measure.

DOI: https://doi.org/10.3842/SIGMA.2013.020

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Full text: http://emis.mi.ras.ru/.../020
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Bibliographic databases:

ArXiv: 1303.0361
MSC: 15A24; 39A99; 47B36; 60J80
Received: August 4, 2012; in final form February 25, 2013; Published online March 2, 2013
Language:

Citation: Mirta M. Castro, F. Alberto Grünbaum, “On a Seminal Paper by Karlin and McGregor”, SIGMA, 9 (2013), 020, 11 pp.

Citation in format AMSBIB
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\paper On a~Seminal Paper by Karlin and McGregor
\jour SIGMA
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. F. A. Gruenbaum, L. Velazquez, “Erratum to “The CMV bispectral problem””, Int. Math. Res. Notices, 2017, no. 19, 6085  crossref  mathscinet  isi  scopus
    2. H. Dette, D. Tomecki, M. Venker, “Universality in random moment problems”, Electron. J. Probab., 23 (2018), 15  crossref  mathscinet  zmath  isi  scopus
    3. F. A. Grunbaum, M. D. Iglesia, “Stochastic LU factorizations, Darboux transformations and urn models”, J. Appl. Probab., 55:3 (2018), 862–886  crossref  mathscinet  zmath  isi  scopus
  • Symmetry, Integrability and Geometry: Methods and Applications
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