31 citations · 62 across the 18 of their papers we have counts for
19 papers
Regularity results for free Lévy processes
Hao-Wei Huang, Jiun-Chau Wang
Given a free additive convolution semigroup and a probability measure on , we find the necessary and sufficient conditions for the proc…
Superconvergence in free probability limit theorems for arbitrary triangular arrays
Hari Bercovici, Ching-Wei Ho, Jiun-Chau Wang +1
It is known that limit theorems for triangular arrays with identically distributed rows yields convergence of densities rather than just convergence in distribution. We show that t…
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…
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…
Berry-Esseen type estimate and return sequence for parabolic iteration in the upper half-plane
Octavio Arizmendi, Mauricio Salazar, Jiun-Chau Wang
Two different aspects of parabolic iteration in the complex upper half-plane are considered here. First, from a noncommutative probability perspective, a Berry-Esseen type estimate…
Bi-Free Extreme Values
Hao-Wei Huang, Jiun-Chau Wang
In this paper, we continue Voiculescu's recent work on the analogous extreme value theory in the context of bi-free probability theory. We derive various equivalent conditions for…