Members of Random Closed Sets

نویسندگان

  • David Diamondstone
  • Bjørn Kjos-Hanssen
چکیده

The members of Martin-Löf random closed sets under a distribution studied by Barmpalias et al. are exactly the infinite paths through Martin-Löf random Galton-Watson trees with survival parameter 2 3 . To be such a member, a sufficient condition is to have effective Hausdorff dimension strictly greater than γ = log2 3 2 , and a necessary condition is to have effective Hausdorff dimension greater than or equal to γ.

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تاریخ انتشار 2009