Browsing Mathematics Theses and Dissertations by Subject "Random Matrix Theory"

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  • Wells, Jonathan (University of Oregon, 2019-09-18)
    We use combinatorial identities in the shuffle and exterior algebra to present hyperpfaffian formulations of partition functions for ß-ensembles with arbitrary probability measure when ß is a square integer. This is an ...
  • Shum, Christopher (University of Oregon, 2013-10-03)
    For beta > 0, the beta-ensemble corresponds to the joint probability density on the real line proportional to prod_{n > m}^N abs{x_n - x_m}^beta prod_{n = 1}^N w(x_n) where w is the weight of the system. It has the ...

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