论文标题
自由概率的换向器总和
Sums of Commutators in Free Probability
论文作者
论文摘要
我们研究了自由随机变量的换向器的线性跨度，并表明这些是满足以下等效属性的唯一二次形式： *免费无限可划分 *奇数累积物的自由而强大的取消 *任何自由家庭的对称分布。 主要的组合工具是对非交叉分区的互动。
We study the linear span of commutators of free random variables and show that these are the only quadratic forms which satisfy the following equivalent properties: * preservation free infinite divisibility * free and strong cancellation of odd cumulants * symmetric distribution for any free family. The main combinatorial tool is an involution on non-crossing partitions.
