Spectral Analysis of Transition Operators, Automata Groups and Translation in BBS

被引：0
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作者：
Tsuyoshi Kato
Satoshi Tsujimoto
Andrzej Zuk
机构：
[1] Kyoto University,Department of Mathematics, Graduate School of Science
[2] Kyoto University,Department of Applied Mathematics and Physics, Graduate School of Informatics
[3] Institut de Mathematiques,undefined
来源：
Communications in Mathematical Physics | 2017年 / 350卷
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摘要：
We give the automata that describe time evolution rules of the box-ball system with a carrier. It can be shown by use of tropical geometry that 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.
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页码：205 / 229
页数：24
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