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Kolmogorov's Example (A Survey of Actions of Infinite-Dimensional Groups with an Invariant Probability Measure)

✍ Scribed by Vershik, A. M.


Book ID
118219693
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
113 KB
Volume
48
Category
Article
ISSN
0040-585X

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## Abstract This paper proposes an extension of Chaitin's halting probability Ξ© to a measurement operator in an infinite dimensional quantum system. Chaitin's Ξ© is defined as the probability that the universal self‐delimiting Turing machine __U__ halts, and plays a central role in the development o