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A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory
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Morris, Ian D. (2010) A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory. Advances in Mathematics, Vol.225 (No.6). pp. 3425-3445. doi:10.1016/j.aim.2010.06.008 ISSN 0001-8708.
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Official URL: http://dx.doi.org/10.1016/j.aim.2010.06.008
Abstract
We use ergodic theory to prove a quantitative version of a theorem of M.A. Berger and Y. Wang. which relates the joint spectral radius of a set of matrices to the spectral radii of finite products of those matrices. The proof rests on a structure theorem for continuous matrix cocycles over minimal homeomorphisms having the property that all forward products are uniformly bounded. (C) 2010 Elsevier Inc. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Advances in Mathematics | ||||
| Publisher: | Academic Press | ||||
| ISSN: | 0001-8708 | ||||
| Official Date: | 20 December 2010 | ||||
| Dates: |
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| Volume: | Vol.225 | ||||
| Number: | No.6 | ||||
| Number of Pages: | 21 | ||||
| Page Range: | pp. 3425-3445 | ||||
| DOI: | 10.1016/j.aim.2010.06.008 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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