Fluctuations of smooth linear statistics of determinantal point processes

We study eigenvalues of unitary invariant random matrices and other de-terminantal point processes. Paper A investigates some generalizations ofthe Gaussian Unitary Ensemble which are motivated by the physics of freefermions. We show that these processes exhibit a transition from Poisson tosine stat...

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Bibliographic Details
Main Author: Gaultier, Lambert
Format: Doctoral Thesis
Language:English
Published: KTH, Matematik (Avd.) 2016
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-186536