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Effective estimates of Lyapunov exponents for random products of positive matrices
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Pollicott, Mark (2021) Effective estimates of Lyapunov exponents for random products of positive matrices. Nonlinearity, 34 (10). pp. 6705-6718. doi:10.1088/1361-6544/ac15ac ISSN 1361-6544.
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Official URL: https://doi.org/10.1088/1361-6544/ac15ac
Abstract
In this note we describe estimates on the error when calculating the Lyaponov exponent for random products of positive matrices using dynamical determinants. This extends the results in (Jurga N and Morris I 2019 Nonlinearity 32 4117–46; Pollicott M 2010 Invent. Math. 181 209–26) by drawing upon a new approach introduced in (Jenkinson O and Pollicott M 2018 Adv. Math. 325 87–115; Jenkinson O, Pollicott M and Vytnova P 2018 J. Stat. Phys. 170 221–53).
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| SWORD Depositor: | Library Publications Router | ||||||
| Library of Congress Subject Headings (LCSH): | Ergodic theory , Dynamics , Lyapunov exponents , Functions, Zeta, Ruelle operators | ||||||
| Journal or Publication Title: | Nonlinearity | ||||||
| Publisher: | IOP Publishing | ||||||
| ISSN: | 1361-6544 | ||||||
| Official Date: | 16 August 2021 | ||||||
| Dates: |
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| Volume: | 34 | ||||||
| Number: | 10 | ||||||
| Page Range: | pp. 6705-6718 | ||||||
| DOI: | 10.1088/1361-6544/ac15ac | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Date of first compliant deposit: | 8 March 2022 | ||||||
| Date of first compliant Open Access: | 8 March 2022 | ||||||
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