The generality of the zero-one laws

Details The generality of the zero-one laws The generality of the zero-one laws

2008-03-26

arxiv.org/abs/0803.3679v2

Mathematics

Probability

13 pages; the journal version is to appear in the Annals of the Institute of Statistical Mathematics, http://www.ism.ac.jp/e

Scientific paper

We prove game-theoretic generalizations of some well known zero-one laws. Our
proofs make the martingales behind the laws explicit, and our results
illustrate how martingale arguments can have implications going beyond
measure-theoretic probability.

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