On the Largest Eigenvalue of Products from the β-Laguerre Ensemble

preprint2013arXivOpen access

We determine the limiting distribution of the largest eigenvalue of products from the $β$ -Laguerre ensemble. This limiting distribution is given by a Tracy-Widom law with parameter $β_0>0$ depending on the ratio of the parameters of the two matrices involved.

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On the Largest Eigenvalue of Products from the β-Laguerre Ensemble

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