Feb 21, 2019 · We study algorithmic randomness properties for probability measures on Cantor space. We say that a measure \mu on the space of infinite bit sequences is ML ...

Jan 8, 2022 · The initial segment complexity of a measure μ at a length n is defined as the μ-average over the descriptive complexity of strings of length n, ...

Abstract. We study algorithmic randomness properties for probability measures on Cantor space. We say that a measure µ on the space of infinite bit ...

We study algorithmic randomness properties for probability measures on Cantor space. We say that a measure μ on the space of infinite bit sequences is Martin- ...

▷ We define initial segment complexity for measures. ▷ We relate the growth of initial segment complexity to randomness properties. 5 / 20 ...

We study the possible growth rates of the Kolmogorov complexity of initial segments of sequences that are random with respect to some computable measure.

The initial segment complexity of a measure μ at a length n is defined as the μ -average over the descriptive complexity of strings of length n , in the sense ...

Oct 16, 2020 · Abstract. We study algorithmic randomness properties for probability measures on Cantor space. We say that a measure µ on the space of.

Abstract. One approach to understanding the fine structure of initial seg- ment complexity was introduced by Downey, Hirschfeldt and LaForte. They.

Mauldin and Montecino defined a probability space of measures and Culver showed that this probability space is recursive. Randomly drawn measures according to ...