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math.DS2013
Sofic measures and densities of level sets
Alain Thomas
The Bernoulli convolution associated to the real and the probability vector is a probability measure on , solution of the self-similar…
math.PR2013
Almost sure convergence of products of nonnegative matrices
Alain Thomas
We study the almost sure convergence of the normalized columns in an infinite product of nonnegative matrices, and the almost sure rank one property of its limit points. Given a pr…