Random covers of finite homogeneous lattices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Random covers of finite homogeneous lattices
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| Creator |
Alekseychuk, A.N.
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| Description |
We develop and extend some results for the scheme of independent random elements distributed on a finite lattice. In particular, we introduce the concept of the cover of a homogeneous lattice Ln of rank n and derive the exact equations and estimations for the number of covers with a given number of blocks and for the total covers number of the lattice Ln. A theorem about the asymptotic normality of the blocks number in a random equiprobable cover of the lattice Ln is proved. The concept of the cover index of the lattice Ln, that extend the notion of the cover index of a finite set by its independent random subsets, is introduced. Applying the lattice moments method, the limit distribution as n→∞ for the cover index of a subspace lattice of the n-dimensional vector space over a finite field is determined. |
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| Date |
2009-11-10T14:48:05Z
2009-11-10T14:48:05Z 2006 |
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| Type |
Article
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| Identifier |
Random covers of finite homogeneous lattices / A.N. Alekseychuk // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 12–19. — Бібліогр.: 10 назв.— англ.
0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4437 519.21 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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