Analysis and Probability Seminar: Joseph Najnudel
Wednesday 17 October 2018, 3:10pm to 4:10pm
Venue
PSC - PSC A54 - View MapOpen to
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On unitarily invariant ensembles of infinite Hermitian matrices
The unitarily invariant probability measures on infinite Hermitian matrices have been classified by Olshanski and Vershik. In their work, and another work by Borodin and Olshanski, the authors prove the almost sure convergence of the renormalized extreme eigenvalues of the minors when the dimension goes to infinity. In this talk, I present these results, and another convergence result on eigenvectors I have recently proven. These results apply in particular to the image of the Circular Unitary Ensemble by the Cayley transform which maps the unit circle to the real line.
Speaker
Joseph Najnudel
University of Bristol
Contact Details
Name | Dirk Zeindler |
Telephone number |
+44 1524 593644 |