Gambling Systems and Multiplication - Invariant MeasuresbyJe rey
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Gambling Systems and Multiplication-Invariant Measures
This short paper describes a surprising connection between two previously unrelated topics: the probability of winning certain gambling games, and the invariance of certain measures under pointwise multiplication on the circle. The former has been well-studied by probabilists, notably in the book of Dubins and Savage (1965). The latter is the subject of an important and well-studied conjecture ...
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