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math.LO2021
Probabilistic vs deterministic gamblers
Laurent Bienvenu, Valentino Delle Rose, Tomasz Steifer
Can a probabilistic gambler get arbitrarily rich when all deterministic gamblers fail? We study this problem in the context of algorithmic randomness, introducing a new notion -- a…
math.LO2021
Relativized depth
Laurent Bienvenu, Valentino Delle Rose, Wolfgang Merkle
Bennett's notion of depth is usually considered to describe the usefulness and internal organization of the information encoded into an object such as an infinite binary sequence.…