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Generating Simplicial Complexes

In the spirit of topological entropy we introduce new complexity functions for general dynamical systems (namely groups and semigroups acting on closed manifolds) but with an emphasis on the dynamics induced on simplicial complexes. For expansive systems remarkable properties are observed. Known examples are revisited and new examples are presented.

5 nodes4 linksoverview mapGenerating Simplicial Complexes
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Co-authorshipAuthorshipAuthorshipTopic signalTopic signalWGenerating Simplicial Complexespreprint / 2010ADaniel J. PonsResearcherAPierre P. RomagnoliResearcherTmath.DG4490 worksTmath.GT2393 works
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Generating Simplicial Complexes

preprint / 2010

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