Tea time:15:00, Room 707
Abstract:
The present paper introduces a modified version of cyclic-monotone independence which originally arose in the context of random matrices, and also introduces its natural analogy called cyclic-Boolean independence. We investigate formulas for convolutions, limit theorems for sums of independent random variables, and also classify infinitely divisible distributions with respect to cyclic-Boolean convolution. Finally, we provide applications to the eigenvalues of the adjacency matrices of iterated star products of graphs and also iterated comb products of graphs.
2023-03-27 15:20 ~ 2023-03-27 16:20
Prof. Takahiro Hasebe (Department of Mathematics, Hokkaido University)
第三綜合大樓2F 201