Spectral asymptotics for contracted tensor ensembles

Spectral asymptotics for contracted tensor ensembles

Probability Seminar
Nov 17, 2021, 03:00 PM - 04:00 PM | Zoom (https://berkeley.zoom.us/j/95636543170) | Happening As Scheduled
Benson Au, University of California, Berkeley

A tensor, or hypermatrix, is a higher order generalization of a matrix. Just as a matrix can be multiplied by a vector to produce another vector, a tensor can be contracted to produce a lower order object. For a random Wigner-type tensor, we study the family of random matrices obtained by unit vector contractions. In general, the entries of such a matrix are dependent. Nevertheless, we show that...