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Martin-Lof randomness for Bernoulli measures

Logan Axon*, Gonzaga University (Faculty)
Talk Abstract: 
Continuous maps on Cantor space induce maps between measures on the space. Mauldin has answered the question of when two Bernoulli measures are related by such a map by giving a purely number-theoretic condition on the parameters of the measures. The proof of this result is constructive and hence compatible with algorithmic randomness. We show how Mauldin's result extends to tt-functionals and Martin-L\"of randomness.
Talk Subject: 
Logic and Foundations
Monday, March 2, 2015 - 15:45