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math.PRMay 15, 2013
18
citations (OpenAlex)
authors
  • Alexander Dubbs
  • Alan Edelman
  • Plamen Koev
  • Praveen Venkataramana
institutions
  • Massachusetts Institute of Technology
  • San Jose State University
arXiv abstractPDF
paper

The Beta-Wishart Ensemble

arXiv:1305.3561 · doi:10.1063/1.4818304

Abstract

This paper proves a matrix model for the Wishart Ensemble with general covariance and general dimension parameter beta. In so doing, we introduce a new and elegant definition of Jack polynomials.

References in corpus (2)

  • Matrix models for circular ensembles
  • Numerical computation of convolutions in free probability theory

Cited by in corpus (7)

  • The Spectrum of the Axion Dark Sector
  • Probability densities and distributions for spiked and general variance Wishart β-ensembles
  • Weak chaos and mixed dynamics in the string S-matrix
  • Eigenfunction statistics of Laguerre Brownian ensemble
  • Hypergeometric Functions of Matrix Arguments and Linear Statistics of Multi-Spiked Hermitian Matrix Models
  • Limits for circular Jacobi beta-ensembles
  • Phase transitions for products of characteristic polynomials under Dyson Brownian motion
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