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  • 标题:Geometric Representations of Interacting Maps
  • 本地全文:下载
  • 作者:Tsuyoshi Kato
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/783738
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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