Boolean convolution of probability measures on the unit circle
Functional Analysis
2009-06-13 v2 Probability
Abstract
We introduce the boolean convolution for probability measures on the unit circle. Roughly speaking, it describes the distribution of the product of two boolean independent unitary random variables. We find an analogue of the characteristic function and determine all infinitely divisible probability measures on the unit circle for the boolean convolution.
Cite
@article{arxiv.math/0403243,
title = {Boolean convolution of probability measures on the unit circle},
author = {Uwe Franz},
journal= {arXiv preprint arXiv:math/0403243},
year = {2009}
}
Comments
13 pages, to appear in volume 15 of Seminaires et Congres