Andrzej Zuk
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Andrzej Zuk has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Satoshi Tsujimoto
Graduate School of Informatics, Kyoto University, Kyoto, Japan
2 shared publications - Tsuyoshi Kato
Department of Mathematics, Kyoto University, Kyoto, Japan
2 shared publications
Latest Publications
- 24 June 2016
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 350 (1) , 205-229
Spectral Analysis of Transition Operators, Automata Groups and Translation in BBS
- 24 June 2016
- Published by Springer Nature in Communications in Mathematical Physics
- Vol. 350 (1) , 205-229
Spectral Analysis of Transition Operators, Automata Groups and Translation in BBS
- Open Access
Spectral analysis of transition operators, Automata groups and translation in BBS
We give the automata which describe time evolution rules of the box-ball system (BBS) with a carrier. It can be shown by use of tropical geometry, such systems are ultradiscrete analogues of KdV equation. We discuss their relation with the lamplighter group generated by an automaton. We present spectral analysis of the stochastic matrices induced by these automata, and verify their spectral coincidence.
Open AccessSpectral analysis of transition operators, Automata groups and translation in BBS
We give the automata which describe time evolution rules of the box-ball system (BBS) with a carrier. It can be shown by use of tropical geometry, such systems are ultradiscrete analogues of KdV equation. We discuss their relation with the lamplighter group generated by an automaton. We present spectral analysis of the stochastic matrices induced by these automata, and verify their spectral coincidence.