Remarks on the boolean convolution and Kerov's α-transformation

• Autorzy: Anna Dorota Krystek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 60J05: Discrete-time Markov processes on general state spaces
• 05E05: Symmetric functions and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 73
• Numer: 1
• Strony: 285-298

Daty

wydano

2006

Twórcy

autor

Anna Dorota Krystek

• Mathematical Institute, University of Wrocław, Plac Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/bc73-0-21