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Electronic Colloquium on Computational Complexity

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Reports tagged with super-martingale:
TR16-139 | 8th September 2016
Ludwig Staiger

Exact constructive and computable dimensions

Revisions: 1

In this paper we derive several results which generalise the constructive
dimension of (sets of) infinite strings to the case of exact dimension. We
start with proving a martingale characterisation of exact Hausdorff
dimension. Then using semi-computable super-martingales we introduce the
notion of exact constructive dimension ... more >>>

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