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Recent progress on conditional randomness

Logic 2017-01-24 v1 Information Theory math.IT

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.

Cite

@article{arxiv.1701.06476,
  title  = {Recent progress on conditional randomness},
  author = {Hayato Takahashi},
  journal= {arXiv preprint arXiv:1701.06476},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T17:57:25.110Z