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7 results on '"Ju. I. Ljubič"'

1. Ten Papers on Analysis

Author

B. F. Bylov, E. P. Dolženko, S. D. Èĭdel′man, V. P. Havin, L. D. Ivanov, L. D. Kudrjavcev, Ju. I. Ljubič, M. I. Liĭcuk, S. O. Sinanjan, V. A. Tkačenko, M. F. Timan, B. F. Bylov, E. P. Dolženko, S. D. Èĭdel′man, V. P. Havin, L. D. Ivanov, L. D. Kudrjavcev, Ju. I. Ljubič, M. I. Liĭcuk, S. O. Sinanjan, V. A. Tkačenko, and M. F. Timan

Published
2016

2. Thirteen Papers on Functional Analysis and Partial Differential Equations

Author

M. S. Brodskiĭ, Ju. L. Daleckiĭ, O. M. Èĭdus, I. S. Iohvidov, M. G. Kreĭn, O. A. Ladyženskaja, V. B. Lidskiĭ, Ju. I. Ljubič, V. I. Macaev, A. Ja. Povzner, L. A. Sahnovič, Ju. L. Šmul′jan, I. V. Suharevskiĭ, N. N. Ural′ceva, M. S. Brodskiĭ, Ju. L. Daleckiĭ, O. M. Èĭdus, I. S. Iohvidov, M. G. Kreĭn, O. A. Ladyženskaja, V. B. Lidskiĭ, Ju. I. Ljubič, V. I. Macaev, A. Ja. Povzner, L. A. Sahnovič, Ju. L. Šmul′jan, I. V. Suharevskiĭ, and N. N. Ural′ceva

Published
2016

3. Nine Papers on Functional Analysis and Numerical Analysis

Author

O. V. Besov, M. M. Džrbašjan, V. N. Faddeeva, V. N. Kublanovskaja, V. B. Lidskiĭ, Ju. I. Ljubič, Ju. L. Šmul′jan, A. V. Štraus, O. V. Besov, M. M. Džrbašjan, V. N. Faddeeva, V. N. Kublanovskaja, V. B. Lidskiĭ, Ju. I. Ljubič, Ju. L. Šmul′jan, and A. V. Štraus

Published
2016

4. TWO-LEVEL BERNSTEINIAN POPULATIONS

Author

Ju I Ljubič

Subjects
Algebra, Class (set theory), Quadratic equation, Simplex, Classical genetics, General Mathematics, Partial solution, Bibliography, Parametrization, Mathematics
Abstract

In this article we give a partial solution to Bernstein's problem concerning quadratic mappings of a simplex into itself: the description of all those mappings V satisfying the condition V2 = V. The formulation of this question is connected with mathematical genetics. In this article, the selected class of mappings is characterized by the existence of linear preservation laws sufficient for the parametrization of a mapping. In genetic terms, this means the existence of genes (but, generally speaking, with a more complex behavior than in classical genetics). This article describes all these mappings. Bibliography: 8 items.

Published
1974

5. Algebraic Methods in Evolutionary Genetics

Author

Ju. I. LjubiČ

Subjects
Statistics and Probability, Mathematical optimization, Bernstein's problem, Human evolutionary genetics, Computer Science::Neural and Evolutionary Computation, Spectrum (functional analysis), Population genetics, General Medicine, Quantitative Biology::Genomics, Rate of convergence, Linearization, Convergence (routing), Quantitative Biology::Populations and Evolution, Applied mathematics, Statistics, Probability and Uncertainty, Algebraic number, Mathematics
Abstract

This paper is a survey of some results obtained in evolutionary genetics by algebraical methods. The main topics: 1. Some special classes of algebras which arising in population genetics (stochastic, baric, BERNSTEINian, genetic etc.). 2. The BERNSTEIN'S problem and the stationary genetic structure. 3. The convergence to an equilibrium, the rate of convergence. 4. The exact linearization of evolutionary equation. 5. The exact formulae for evolutionary spectrum and for solution of the evolutionary equation.

Published
1978

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