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Strong laws of large numbers for multivalued random variables

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    Free transportation cost inequalities via random matrix approximation

    By means of random matrix approximation procedure, we re-prove Biane and Voiculescu’s free analog of Talagrand’s transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the...

    Fumio Hiai, Dénes Petz, Yoshimichi Ueda in Probability Theory and Related Fields (2004)

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