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math.PR2012
Local Functional Inequalities in One Dimensional Free Probability
Ionel Popescu
In this note we introduce and prove local and potential independent transportation, Log-Sobolev and HWI inequalities in one dimensional free probability on compact intervals which…
math.PR2006
General Tridiagonal Random Matrix Models, Limiting Distributions and Fluctuations
Ionel Popescu
In this paper we discuss general tridiagonal matrix models which are natural extensions of the ones given by Dumitriu and Edelman. We prove here the convergence of the distribution…