Combinatorical and Algebraic Structures Seminar
Session details
| Date: | 11.3.2014 |
| Speaker: | Taizo Sadahiro, Department of Computer Science, Tsuda College |
| Title: | A Generalization of the Carries Process |
| Abstract: | (spoluautoři: Fumihiko Nakano) We study a generalization of Holte’s amazing matrix, the transition probability matrix of the Markov chains of the `carries' in a non-standard numeration system. The stationary distributions are explicitly described by the numbers which can be regarded as a generalization of the Eulerian numbers and the MacMahon numbers. We also show that similar properties hold even for the numeration systems with the negative bases. |
Return to index.
last update: 27.9.2007, webmaster: Petr Ambrož