31 citations · 62 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
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…
Limit theorems in bi-free probability theory
Takahiro Hasebe, Hao-Wei Huang, Jiun-Chau Wang
In this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of selfadjoint commuting rand…
Superconvergence to freely infinitely divisible distributions
Hari Bercovici, Jiun-Chau Wang, Ping Zhong
The phenomenon of superconvergence is proved for all freely infinitely divisible distributions. Precisely, suppose that the partial sums of a sequence of free identically distribut…
Local limit theorems in free probability theory
Jiun-Chau Wang
In this paper, we study the superconvergence phenomenon in the free central limit theorem for identically distributed, unbounded summands. We prove not only the uniform convergence…