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math.FA2020
Superconvergence and regularity of densities in free probability
Hari Bercovici, Jiun-Chau Wang, Ping Zhong
The superconvergence phenomenon is shown for products of free, identically distributed random variables. We also show that a certain Holder regularity, first demonstrated by Biane…
math.FA2017
Continuity and growth of free multiplicative convolution semigroups
Xiaoxue Deng, Ping Zhong
Let be a compactly supported probability measure on the positive half-line and let be the free multiplicative convolution semigroup. We show that the support…