In
probability theory, a zero–one law is a result that states that an event must have probability 0 or 1 and no intermediate value. Sometimes, the statement is that the limit of certain probabilities must be 0 or 1.
It may refer to:
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Borel–Cantelli lemma
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Blumenthal's zero–one law
In the mathematical theory of probability, Blumenthal's zero–one law, named after Robert McCallum Blumenthal, is a statement about the nature of the beginnings of right continuous Feller process. Loosely, it states that any right continuous ...
for
Markov processes,
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Engelbert–Schmidt zero–one law The Engelbert–Schmidt zero–one law is a theorem that gives a mathematical criterion for an event associated with a continuous, non-decreasing additive functional of Brownian motion to have probability either 0 or 1, without the possibility of an ...
for continuous, nondecreasing additive functionals of Brownian motion,
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Hewitt–Savage zero–one law for exchangeable sequences,
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Kolmogorov's zero–one law for the tail σ-algebra,
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Lévy's zero–one law, related to martingale convergence.
* Topological zero–one law, related to
meager sets,
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Zero-one law (logic) Finite model theory is a subarea of model theory. Model theory is the branch of logic which deals with the relation between a formal language (syntax) and its interpretations (semantics). Finite model theory is a restriction of model theory to inte ...
for sentences valid in finite structures.
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Probability theory