论文标题
自由概率中的超级授权和密度的规律性
Superconvergence and regularity of densities in free probability
论文作者
论文摘要
对于自由分布的随机变量的产物，显示了超融合现象。我们还表明，某个持有人的规律性首先由比安娜（Biane）与半圆形定律一起自由添加卷积的密度证明，该密度扩展到具有任意自由自由自由划分的定律和自由卷积半群落的自由添加和乘法卷积。
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 for the density of a free additive convolution with a semicircular law, extends to free additive and multiplicative convolutions with arbitrary freely infinitely divisible laws and to free convolution semigroups.
