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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.PR2020
Log-unimodality for free positive multiplicative Brownian motion
Takahiro Hasebe, Yuki Ueda, Jiun-Chau Wang
We prove that the marginal law of free positive multiplicative Brownian motion is log-unimodal for all if is a multiplicatively symmetric log-unimodal d…