Recent progress on conditional randomness

Abstract

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 mutually singular probabilities are shown, which is a generalization of Hanssen's result (2010) for Bernoulli processes.

Presented at Probability Symposium RIMS (2016 Dec.), and Ergodic theory and related area (Tsukuba Univ. 2016 Nov.)

References in corpus (1)

• Conditional probabilities and van Lambalgen theorem revisited