Remarks on absolute continuity in the context of free probability and random matrices

Authors

Arijit Chakrabarty, Indian Statistical Institute (Delhi Centre)
Rajat Subhra Hazra, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Proceedings of the American Mathematical Society

Abstract

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.

First Page

1335

Last Page

1341

DOI

10.1090/proc/12752

Publication Date

3-1-2016

Comments

Open Access; Bronze Open Access

Recommended Citation

Chakrabarty, Arijit and Hazra, Rajat Subhra, "Remarks on absolute continuity in the context of free probability and random matrices" (2016). Journal Articles. 4409.
https://digitalcommons.isical.ac.in/journal-articles/4409