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. |
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