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On Contraction Properties for Products of Markov Driven Random Matrices

On Contraction Properties for Products of Markov Driven Random Matrices

We describe contraction properties on pro jective spaces for products of matrices governed by Markov chains which satisfy strong mixing conditions. Assuming that the subgroup generated by the corresponding matrices is "large" we show in particular that the top Lyapunov exponent of their pr...

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Main Author: Guivarc'h, Y.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106519
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spelling irk-123456789-1065192016-09-30T03:03:03Z On Contraction Properties for Products of Markov Driven Random Matrices Guivarc'h, Y. We describe contraction properties on pro jective spaces for products of matrices governed by Markov chains which satisfy strong mixing conditions. Assuming that the subgroup generated by the corresponding matrices is "large" we show in particular that the top Lyapunov exponent of their product has multiplicity one and we give an exposition of the related results. 2008 Article On Contraction Properties for Products of Markov Driven Random Matrices / Y. Guivarc'h // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 457-489. — Бібліогр.: 39 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106519 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We describe contraction properties on pro jective spaces for products of matrices governed by Markov chains which satisfy strong mixing conditions. Assuming that the subgroup generated by the corresponding matrices is "large" we show in particular that the top Lyapunov exponent of their product has multiplicity one and we give an exposition of the related results.
format Article
author Guivarc'h, Y.
spellingShingle Guivarc'h, Y.
On Contraction Properties for Products of Markov Driven Random Matrices
Журнал математической физики, анализа, геометрии
author_facet Guivarc'h, Y.
author_sort Guivarc'h, Y.
title On Contraction Properties for Products of Markov Driven Random Matrices
title_short On Contraction Properties for Products of Markov Driven Random Matrices
title_full On Contraction Properties for Products of Markov Driven Random Matrices
title_fullStr On Contraction Properties for Products of Markov Driven Random Matrices
title_full_unstemmed On Contraction Properties for Products of Markov Driven Random Matrices
title_sort on contraction properties for products of markov driven random matrices
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2008
url http://dspace.nbuv.gov.ua/handle/123456789/106519
citation_txt On Contraction Properties for Products of Markov Driven Random Matrices / Y. Guivarc'h // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 4. — С. 457-489. — Бібліогр.: 39 назв. — англ.
series Журнал математической физики, анализа, геометрии
work_keys_str_mv AT guivarchy oncontractionpropertiesforproductsofmarkovdrivenrandommatrices
first_indexed 2023-10-18T20:13:08Z
last_indexed 2023-10-18T20:13:08Z
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