102 citations · 159 across the 33 of their papers we have counts for
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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…
math.MG2011
Automata in groups and dynamics and induced systems of PDE in tropical geometry
Tsuyoshi Kato
In this paper we develop a dynamical scaling limit from rational dynamics to automata in tropical geometry. We compare these dynamics and induce uniform estimates of their orbits.…
math.MG2010★ 1 cited
A rough analytic relation on partial differential equations
Tsuyoshi Kato, Satoshi Tsujimoto
We introduce some analytic relations on the set of partial differential equations of two variables. It relies on a new comparison method to give rough asymptotic estimates for solu…