9 citations · 18 across the 13 of their papers we have counts for
Showing math.LOShow all
3 papers · 1 filter
math.LO2017
Recent progress on conditional randomness
Hayato Takahashi
In this article, recent progress on ML-randomness with respect to conditional probabilities is reviewed. In particular a new result of conditional randomness with respect to mutual…
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.LO2013★ 1 cited
Generalization of van Lambalgen's theorem and blind randomness for conditional probabilities
Hayato Takahashi
Generalization of the Lambalgen's theorem is studied with the notion of Hippocratic (blind) randomness without assuming computability of conditional probabilities. In [Bauwence 201…