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math.PR2014
Fixed Points of the Multivariate Smoothing Transform: The Critical Case
Konrad Kolesko, Sebastian Mentemeier
Given a sequence of random matrices with nonnegative entries, suppose there is a random vector with nonnegative entries, such that $ \sum_{i \ge…
math.PR2014
Precise Large Deviation Results for Products of Random Matrices
Dariusz Buraczewski, Sebastian Mentemeier
The theorem of Furstenberg and Kesten provides a strong law of large numbers for the norm of a product of random matrices. This can be extended under various assumptions, covering…