Law of large numbers for the spectral radius of random matrix products
arXiv:1908.07469
Abstract
We prove that the spectral radius of an i.i.d.\ random walk on $\GL_d(\C)$ satisfies a strong law of large numbers under finite second moment assumption and a weak law of large numbers under finite first moment. No irreducibility assumption is supposed.
14 pages, no figure. v2 --> v3: minor modifications. To appear in Amer. J. Math