32 citations · 80 across the 9 of their papers we have counts for
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math.LO2012★ 2 cited
Van Lambalgen's Theorem for uniformly relative Schnorr and computable randomness
Kenshi Miyabe, Jason Rute
We correct Miyabe's proof of van Lambalgen's Theorem for truth-table Schnorr randomness (which we will call uniformly relative Schnorr randomness). An immediate corollary is one di…
math.LO2012
Computable randomness and betting for computable probability spaces
Jason Rute
Unlike Martin-Löf randomness and Schnorr randomness, computable randomness has not been defined, except for a few ad hoc cases, outside of Cantor space. This paper offers such a de…
math.DS2012★ 10 cited
Oscillation and the mean ergodic theorem for uniformly convex Banach spaces
Jeremy Avigad, Jason Rute
Let B be a p-uniformly convex Banach space, with p >= 2. Let T be a linear operator on B, and let A_n x denote the ergodic average (1 / n) sum_{i< n} T^n x. We prove the following…