Student Probability Seminar
Ginibre Powers - the Laundry Machine Effect
Speaker: Guillaume Dubach
Location: Warren Weaver Hall 905
Date: Monday, April 3, 2017, 11 a.m.
The name of Jean Ginibre was given to a very natural ensemble of random matrices, those with iid complex gaussian coefficents. The eigenvalues of such a matrix form a determinantal point process, and thus exhibit a well-studied repulsion. But this highly correlated system of points happens to decorrelate completely (I say : completely - not asymptotically) when put to a high enough power - that is, having them spin around the origin. This stunning property is known to hold on a wider class of processes; but the proof is particularly straightforward in the Ginibre case, as we shall see.