102 citations · 159 across the 33 of their papers we have counts for
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math.SP2014★ 1 cited
Spectral analysis of transition operators, Automata groups and translation in BBS
Tsuyoshi Kato, Satoshi Tsujimoto, Andrzej Zuk
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 an…
math.MG2014★ 2 cited
A note on the pentagram map and tropical geometry
Tsuyoshi Kato
In this note we study the action of the pentagram map on the moduli space of twisted polygons. The action with respect to the canonical coordinate turns out to be applicable to the…