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Discovery Projects - Grant ID: DP130100490

Title
Discovery Projects - Grant ID: DP130100490
Funding
ARC | Discovery Projects
Contract (GA) number
DP130100490
Start Date
2013/01/01
End Date
2015/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP130100490

 

  • Dynamical correspondences for Smale spaces

    We initiate the study of correspondences for Smale spaces. Correspondences are shown to provide a notion of a generalized morphism between Smale spaces and are a special case of finite equivalences. Furthermore, for shifts of finite type, a correspondence is related to a matrix which intertwines the adjacency matrices of the shifts. This observation allows us to define an equivalence relation on all Smale spaces which reduces to shift equivalence for shifts of finite type. Several other notio...
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