DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY
نویسندگان
چکیده
منابع مشابه
Probability and Interpolation
An m x n matrix E with n ones and (m — l)/i zeros, which satisfies the Polya condition, may be regular and singular for Birkhoff interpolation. We prove that for random distributed ones, E is singular with probability that converges to one if m, n -» oo. Previously, this was known only if m > (1 + 8)n/log n. For constant m and n -» oo, the probability is asymptotically at least i.
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ژورنال
عنوان ژورنال: Infinite Dimensional Analysis, Quantum Probability and Related Topics
سال: 2006
ISSN: 0219-0257,1793-6306
DOI: 10.1142/s021902570600224x