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arxiv: 1403.3763 · v1 · pith:I3BD6QLBnew · submitted 2014-03-15 · 🧮 math.OA · math.PR

A note on Boolean stochastic processes

classification 🧮 math.OA math.PR
keywords booleanprocessesstochasticalgebracommutationdistributedexchangeablefinetti
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For the quantum stochastic processes generated by the Boolean Commutation Relations, we prove the following version of De Finetti Theorem: each of such Boolean process is exchangeable if and only if it is independent and identically distributed with respect to the tail algebra.

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