Remarks on the boolean convolution and Kerov's $\alpha$-transformation
Volume 73 / 2006
Banach Center Publications 73 (2006), 285-298
MSC: Primary 46L53, 05E05; Secondary 60J05.
DOI: 10.4064/bc73-0-21
Abstract
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 $\alpha$-transformation of diagrams, define the $\alpha$-transformation of finitely supported discrete measures and generalize the notion of the $\alpha$-transformation.
