Corpus ID: 15571288

Heuristic and computer calculations for the magnitude of metric spaces

@inproceedings{Willerton2009HeuristicAC,
  title={Heuristic and computer calculations for the magnitude of metric spaces},
  author={Simon Willerton},
  year={2009}
}
  • Simon Willerton
  • Published 2009
  • Mathematics
  • The notion of the magnitude of a compact metric space was considered in arXiv:0908.1582 with Tom Leinster, where the magnitude was calculated for line segments, circles and Cantor sets. In this paper more evidence is presented for a conjectured relationship with a geometric measure theoretic valuation. Firstly, a heuristic is given for deriving this valuation by considering 'large' subspaces of Euclidean space and, secondly, numerical approximations to the magnitude are calculated for squares… CONTINUE READING

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