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10

CIE
2009
Springer

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Members of Random Closed Sets

13 years 11 months ago

Members of Random Closed Sets

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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

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Applied Computing | CIE 2009 | Eﬀective Hausdorﬀ Dimension | Martin-L¨of Random | Random Closed Sets |

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Added	26 May 2010
Updated	26 May 2010
Type	Conference
Year	2009
Where	CIE
Authors	David Diamondstone, Bjørn Kjos-Hanssen

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