University Library
  • Login
A gateway to Melbourne's research publications
Minerva Access is the University's Institutional Repository. It aims to collect, preserve, and showcase the intellectual output of staff and students of the University of Melbourne for a global audience.
View Item 
  • Minerva Access
  • Science
  • School of Mathematics and Statistics
  • School of Mathematics and Statistics - Research Publications
  • View Item
  • Minerva Access
  • Science
  • School of Mathematics and Statistics
  • School of Mathematics and Statistics - Research Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

    CLASSICAL DISCRETE SYMPLECTIC ENSEMBLES ON THE LINEAR AND EXPONENTIAL LATTICE: SKEW ORTHOGONAL POLYNOMIALS AND CORRELATION FUNCTIONS

    Thumbnail
    Download
    Accepted version (767.3Kb)

    Citations
    Scopus
    Web of Science
    Altmetric
    1
    1
    Author
    Forrester, PJ; Li, S-H
    Date
    2020-01-01
    Source Title
    Transactions of the American Mathematical Society
    Publisher
    AMER MATHEMATICAL SOC
    University of Melbourne Author/s
    Li, Shi-Hao; Forrester, Peter
    Affiliation
    School of Mathematics and Statistics
    Metadata
    Show full item record
    Document Type
    Journal Article
    Citations
    Forrester, P. J. & Li, S. -H. (2020). CLASSICAL DISCRETE SYMPLECTIC ENSEMBLES ON THE LINEAR AND EXPONENTIAL LATTICE: SKEW ORTHOGONAL POLYNOMIALS AND CORRELATION FUNCTIONS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 373 (1), pp.665-698. https://doi.org/10.1090/tran/7957.
    Access Status
    Open Access
    URI
    http://hdl.handle.net/11343/253864
    DOI
    10.1090/tran/7957
    Open Access URL
    https://doi.org/10.1090/tran/7957
    Abstract
    The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalized to discrete settings involving either a linear or an exponential lattice. The corresponding correlation functions can be expressed in terms of certain discrete and q skew orthogonal polynomials, respectively. We give a theory of both of these classes of polynomials, and the correlation kernels determining the correlation functions, in the cases in which the weights for the corresponding discrete unitary ensembles are classical. Crucial for this are certain difference operators which relate the relevant symmetric inner products to the skew symmetric ones, and have a tridiagonal action on the corresponding (discrete or q) orthogonal polynomials.

    Export Reference in RIS Format     

    Endnote

    • Click on "Export Reference in RIS Format" and choose "open with... Endnote".

    Refworks

    • Click on "Export Reference in RIS Format". Login to Refworks, go to References => Import References


    Collections
    • Minerva Elements Records [45770]
    • School of Mathematics and Statistics - Research Publications [680]
    Minerva AccessDepositing Your Work (for University of Melbourne Staff and Students)NewsFAQs

    BrowseCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects
    My AccountLoginRegister
    StatisticsMost Popular ItemsStatistics by CountryMost Popular Authors