Alex Little

Integrable structure in the elliptic Ginibre ensemble

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.