Geometric representations of interacting maps
type: Item
instance of: scholarly article
title: Geometric representations of interacting maps
zbMATH Open document ID: 1195.14069
DOI: 10.1155/2010/783738
author: Tsuyoshi Kato
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-09-28T00:00:00Z
full work available at URL: https://eudml.org/doc/226502
review text: Summary: Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints. On the other hand, automata appear in various contexts in topology, combinatorics, and integrable systems. In this paper we study the analysis of these materials passing through tropical geometry. In particular we discover a new duality on the set of automata which arise from the projective duality in algebraic geometry.
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14T05
Mathematics Subject Classification ID: 37B15
Mathematics Subject Classification ID: 68Q45
zbMATH DE Number: 5792482
Wikidata QID: Q58651429
MaRDI profile type: Publication
OpenAlex ID: W2106416212
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DBLP publication ID: journals/ijmmsc/Kato10
description: scientific article; zbMATH DE number 5792482