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Continuous Randomness via Transformations of 2-Random Sequences
Christopher P. Porter
Reimann and Slaman initiated the study of sequences that are Martin-Löf random with respect to a continuous measure, establishing fundamental facts about NCR, the collection of seq…
Length Functions and the Dimension of Points in Self-Similar Fractal Trees
Christopher P. Porter
In this paper, we study the effective dimension of points in infinite fractal trees generated recursively by a finite tree over some alphabet. Using unequal costs coding, we associ…
The random members of a class
Douglas Cenzer, Christopher P. Porter
We examine several notions of randomness for elements in a given class . Such an effectively closed subset of may be viewed as the set of i…
Demuth's path to randomness
Antonín Kučera, André Nies, Christopher P. Porter
Osvald Demuth (1936--1988) studied constructive analysis from the viewpoint of the Russian school of constructive mathematics. In the course of his work he introduced various notio…