Limit Points of Bernoulli Distribution Algebras Induced by Boolean Functions
- Authors: Yashunsky A.D.1
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Issue: Vol 40, No 9 (2019)
- Pages: 1423-1432
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205604
- DOI: https://doi.org/10.1134/S199508021909021X
- ID: 205604
Cite item
Abstract
We consider Bernoulli distribution algebras, i.e. sets of distributions that are closed under transformations achieved by substituting independent random variables for arguments of Boolean functions from a given system. We establish that, unless the transforming set contains only essentially unary functions, the set of algebra limit points is either empty, single-element or no less than countable.
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About the authors
A. D. Yashunsky
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: yashunsky@keldysh.ru
Russian Federation, Moscow, 125047