Nuclear Bernstein algebras with a stochastic basis (Q1305081)
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scientific article; zbMATH DE number 1340614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nuclear Bernstein algebras with a stochastic basis |
scientific article; zbMATH DE number 1340614 |
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Nuclear Bernstein algebras with a stochastic basis (English)
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22 September 1999
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Bernstein algebras were introduced in the paper of \textit{Yu. I. Lyubich} [Usp. Mat. Nauk 32, No. 6, 261-262 (1977; Zbl 0376.92008)] in connection with a problem in mathematical genetics, in which the biological characteristics of the two parents are communicated to their offspring. The main result of this paper is to prove a conjecture of Lyubich, according to which a nuclear Bernstein algebra with a stochastic basis is regular.
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genetic algebras
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regular algebras
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nuclear Bernstein algebra
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stochastic basis
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