On subcritical multi-type branching process in random environment
We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables. Suppose that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices has negative mean and...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2008-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/3579/pdf |
| _version_ | 1797270408292990976 |
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| author | Elena Dyakonova |
| author_facet | Elena Dyakonova |
| author_sort | Elena Dyakonova |
| collection | DOAJ |
| description | We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables. Suppose that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices has negative mean and assuming some additional conditions, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$. |
| first_indexed | 2024-04-25T02:03:48Z |
| format | Article |
| id | doaj.art-3b44dd89f5344f2692b0caed3b24c220 |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T02:03:48Z |
| publishDate | 2008-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-3b44dd89f5344f2692b0caed3b24c2202024-03-07T14:36:56ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502008-01-01DMTCS Proceedings vol. AI,...Proceedings10.46298/dmtcs.35793579On subcritical multi-type branching process in random environmentElena Dyakonova0Steklov Mathematical Institute [Moscow]We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables. Suppose that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices has negative mean and assuming some additional conditions, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.https://dmtcs.episciences.org/3579/pdfbranching processes in random environmentsurvival probabilitylimit theoremsrandom walks[math.math-co] mathematics [math]/combinatorics [math.co][info.info-dm] computer science [cs]/discrete mathematics [cs.dm][math.math-ds] mathematics [math]/dynamical systems [math.ds] |
| spellingShingle | Elena Dyakonova On subcritical multi-type branching process in random environment Discrete Mathematics & Theoretical Computer Science branching processes in random environment survival probability limit theorems random walks [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-ds] mathematics [math]/dynamical systems [math.ds] |
| title | On subcritical multi-type branching process in random environment |
| title_full | On subcritical multi-type branching process in random environment |
| title_fullStr | On subcritical multi-type branching process in random environment |
| title_full_unstemmed | On subcritical multi-type branching process in random environment |
| title_short | On subcritical multi-type branching process in random environment |
| title_sort | on subcritical multi type branching process in random environment |
| topic | branching processes in random environment survival probability limit theorems random walks [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-ds] mathematics [math]/dynamical systems [math.ds] |
| url | https://dmtcs.episciences.org/3579/pdf |
| work_keys_str_mv | AT elenadyakonova onsubcriticalmultitypebranchingprocessinrandomenvironment |