This paper consists of two parts. The first part is devoted to the study of continuous diagrams and their connections with the boolean convolution. In the second part we investigate the rectangular Young diagrams and respective discrete measures. We recall the definition of Kerov's α-transformation of diagrams, define the α-transformation of finitely supported discrete measures and generalize the notion of the α-transformation.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-21,
author = {Anna Dorota Krystek},
title = {Remarks on the boolean convolution and Kerov's $\alpha$-transformation},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {285-298},
zbl = {1109.46056},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-21}
}
Anna Dorota Krystek. Remarks on the boolean convolution and Kerov's α-transformation. Banach Center Publications, Tome 72 (2006) pp. 285-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-21/