149 citations · 517 across the 29 of their papers we have counts for
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math.LO2011★ 32 cited
Algorithmic randomness, reverse mathematics, and the dominated convergence theorem
Jeremy Avigad, Edward Dean, Jason Rute
We analyze the pointwise convergence of a sequence of computable elements of L^1(2^omega) in terms of algorithmic randomness. We consider two ways of expressing the dominated conve…
math.LO2011★ 2 cited
Uncomputably noisy ergodic limits
Jeremy Avigad
V'yugin has shown that there are a computable shift-invariant measure on Cantor space and a simple function f such that there is no computable bound on the rate of convergence of t…