Chakrabarty, Arijit ; Hazra, Rajat Subhra (2015) Remarks on absolute continuity in the context of free probability and random matrices Proceedings of the American Mathematical Society, 144 (3). pp. 1335-1341. ISSN 0002-9939
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Official URL: http://doi.org/10.1090/proc/12752
Related URL: http://dx.doi.org/10.1090/proc/12752
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Free Multiplicative Convolution; Absolute Continuity; Random Matrix. |
| ID Code: | 121166 |
| Deposited On: | 12 Jul 2021 08:30 |
| Last Modified: | 12 Jul 2021 08:30 |
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