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CIE
2009
Springer

Members of Random Closed Sets

9 years 3 months ago
Members of Random Closed Sets
Abstract. The members of Martin-L¨of random closed sets under a distribution studied by Barmpalias et al. are exactly the infinite paths through Martin-L¨of 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.
David Diamondstone, Bjørn Kjos-Hanssen
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Where CIE
Authors David Diamondstone, Bjørn Kjos-Hanssen
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