论文标题
自由乘法卷积的极限定理中的最大卷积半群和极值
Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution
论文作者
论文摘要
我们通过大量的自由乘法卷积法则研究了加性卷积半群和最大卷积半群之间的关系。基于关系，我们提供了与Belinschi-Nica Semigroup和Max-Belinschi-Nica Semigroup相关的公式。最后，我们为经典，自由和布尔极端值提供了几个限制定理。
We investigate relations between additive convolution semigroup and max-convolution semigroup through the law of large numbers for the free multiplicative convolution. Based on the relation, we give a formula related with Belinschi-Nica semigroup and max-Belinschi-Nica semigroup. Finally, we give several limit theorems for classical, free and Boolean extreme values.
