### Integrable structure in the elliptic Ginibre ensemble

Mathematical Physics Seminar

27th January 2023, 1:45 pm – 3:30 pm

Fry Building, 2.04

The "elliptic Ginibre ensemble" is an ensemble of non-Hermitian random matrices that interpolates between the Gaussian Unitary Ensemble (GUE) and the complex Ginibre ensemble. In joint work with Thomas Bothner we derive integro-differential representations for gap probabilities in "the bulk" and at "the edge." This generalises the famous result of Tracy and Widom.

*Organiser*: Thomas Bothner

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