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math.DS2018
Extensions with shrinking fibers
Benoit Kloeckner
We consider dynamical systems that are extensions of a factor through a projection with shrinking fibers, i.e. such that is uniformly con…
math.PR2018
Empirical measures: regularity is a counter-curse to dimensionality
Benoît Kloeckner
We propose a "decomposition method" to prove non-asymptotic bound for the convergence of empirical measures in various dual norms. The main point is to show that if one measures co…