DOAJ Open Access 2014

A generalization of the carries process

Takahiko Fujita Fumihiko Nakano Taizo Sadahiro

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Abstrak

We consider a carries process which is a generalization of that by Holte in the sense that (i) we take various digit sets, and (ii) we also consider negative base. Our results are : (i) eigenvalues and eigenvectors of the transition probability matrices, and their connection to combinatorics and representation theory, (ii) an application to the computation of the distribution of the sum of i.i.d. uniform r.v.'s on [0,1], (iii) a relation to riffle shuffle.

Topik & Kata Kunci

Mathematics

Penulis (3)

Takahiko Fujita

Fumihiko Nakano

Taizo Sadahiro

Format Sitasi

APA MLA BibTeX

Fujita, T., Nakano, F., Sadahiro, T. (2014). A generalization of the carries process. https://doi.org/10.46298/dmtcs.2380

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2380

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2380
Akses: Open Access ✓