Some classes of random mappings of finite sets and non-homogeneous branching processes
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| 024 | 7 | 0 | |a 10.1515/156939204774148785 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939204774148785 | ||
| 100 | 1 | |a Sevastyanov |D B.A. | |
| 245 | 1 | 0 | |a Some classes of random mappings of finite sets and non-homogeneous branching processes |h [Elektronische Daten] |c [B.A. Sevastyanov] |
| 520 | 3 | |a Let be a finite set, where X t , t = 1, 2, . . . , T, are pairwise nonoverlapping sets, N t = |X t | be the cardinality of the set X t , t = 0, 1, . . . , T. Let ℱ1 be the class of all mappings f of the set X′ = X \ X 0 into X such that the image y = f (x) ∈ X t−1 ∪ X t for any x ∈ X t , t = 1, . . . , T. The cardinality of the set of all mappings of the class ℱ1 is . With the use of non-homogeneous branching processes, we study some asymptotical properties of the uniformly distributed on ℱ1 random mapping f as N t → ∞, t = 1, 2, . . . , T. Similar results are obtained for some other classes of random mappings f of the set X. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 773 | 0 | |t Discrete Mathematics and Applications |d Walter de Gruyter |g 14/1(2004-01-01), 7-12 |x 0924-9265 |q 14:1<7 |1 2004 |2 14 |o dma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939204774148785 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939204774148785 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Sevastyanov |D B.A. | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Discrete Mathematics and Applications |d Walter de Gruyter |g 14/1(2004-01-01), 7-12 |x 0924-9265 |q 14:1<7 |1 2004 |2 14 |o dma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||