Random walks in random environment with Markov dependence on time
We consider a simple model of discrete-time random walk on Zν, ν = 1, 2, . . . in a random environment independent in space and with Markov evolution in time. We focus on the application of methods based on the properties of the transfer matrix and on spectral analysis. In section 2 we give a new...
Збережено в:
| Дата: | 2008 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119043 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Random walks in random environment with Markov dependence on time / C. Boldrighini, R.A. Minlos, A. Pellegrinotti // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 209-221. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We consider a simple model of discrete-time random walk on Zν, ν = 1, 2, . . . in a random environment
independent in space and with Markov evolution in time. We focus on the application of methods based on
the properties of the transfer matrix and on spectral analysis. In section 2 we give a new simple proof of the
existence of invariant subspaces, with an explicit condition on the parameters. The remaining part is devoted
to a review of the results obtained so far for the quenched random walk and the environment from the point of
view of the random walk, with a brief discussion of the methods. |
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