Bruno Bauwens

activity

20092026

most citedConditional probabilities and van Lambalgen theorem revisited

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

collaborators

Showing math.LOShow all

3 papers · 1 filter

math.LO2016★ 7 cited

Conditional probabilities and van Lambalgen theorem revisited

Bruno Bauwens, Alexander Shen, Hayato Takahashi

The definition of conditional probability in case of continuous distributions was an important step in the development of mathematical theory of probabilities. How can we define th…

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…