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20122023
most citedLowness notions, measure and domination

46 citations · 53 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.LO2023

Redundancy of information: lowering dimension

Jun Le Goh, Joseph S. Miller, Mariya I. Soskova +1

Let At denote the set of infinite sequences of effective dimension t. We determine both how close and how far an infinite sequence of dimension s can be from one of dimension t, me…

math.LO2014★ 46 cited

Lowness notions, measure and domination

Bjørn Kjos-Hanssen, Joseph S. Miller, Reed Solomon

We show that positive measure domination implies uniform almost everywhere domination and that this proof translates into a proof in the subsystem WWKL (but not in RCA) of…

math.LO2012

Cupping with random sets

Adam R. Day, Joseph S. Miller

We prove that a set is K-trivial if and only if it is not weakly ML-cuppable. Further, we show that a set below zero jump is K-trivial if and only if it is not ML-cuppable. These r…