Publications and Preprints

Remarks on absolute continuity in the context of free probability and random matrices
by
Arijit Chakrabarty and Rajat Subhra Hazra
In this note, we show that the limiting spectral distribution of symmetric random matrices with stationary entries is absolutely continuous under some sufficient conditions. This result is applied to obtain sufficient conditions on a probability measure for its free multiplicative convolution with the semicircle law to be absolutely continuous.

isid/ms/2014/11 [fulltext]