We determine the limiting distribution of the largest eigenvalue of products from the $\beta$-Laguerre ensemble. This limiting distribution is given by a Tracy-Widom law with parameter $\beta_0>0$ depending on the ratio of the parameters of the two matrices involved.
Largest eigenvalues and eigenvectors of band or sparse matrices
Universality for the largest eigenvalue of sample covariance matrices with general population
Existence of limiting distribution for affine processes
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