Bruno Bauwens

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20092026

most citedConditional probabilities and van Lambalgen theorem revisited

7 citations · 17 across the 21 of their papers we have counts for

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math.LO2015

Uniform van Lambalgen's theorem fails for computable randomness

Bruno Bauwens

We show that there exists a bitsequence that is not computably random for which its odd bits are computably random and its even bits are computably random relative to the odd bits.…

math.LO2015★ 1 cited

Van Lambalgen's theorem fails for some computable measure

Bruno Bauwens

Van Lambalgen's theorem states that a pair $(α, β)$ of bitsequences is Martin-Löf random if and only if $α$ is Martin-Löf random and $β$ is Martin-Löf random relative to $α$ . In [In…