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.
Original language | English |
---|---|
Number of pages | 34 |
Publication status | Published - 31 Mar 2022 |
Keywords
- math.PR
- math.OA
- 46L54, 05C76