Strong and weak confinement in the Freud ensemble of random matrices

  • 7 February 2024
  • 2pm-3pm
  • Sch 1.05
  • Igor Krasovsky

Igor Krasovsky (Imperial College London)

We obtain asymptotic expressions for a large interval without eigenvalues in the Freud ensemble of random matrices (the unitary ensemble associated with Freud polynomials with weight exp(-|x|^beta), beta>0). A remarkable transition takes place when beta crosses the value 1.  

This is a joint work with  Tom Claeys and Olexander Minakov.

 

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