Sharp Finite-Time Distortion Bounds for Products of Positive Matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915699187777536 |
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| author | Kritchevski, Eugene |
| author_facet | Kritchevski, Eugene |
| contents | We study the deviation from proportionality of rows and columns in products of positive matrices. We prove a sharp, dimension-free bound showing that worst-case misalignment is already captured in dimension two and follows an explicit Mobius law, refining the classical Birkhoff-Bushell contraction theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10872 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp Finite-Time Distortion Bounds for Products of Positive Matrices Kritchevski, Eugene Mathematical Physics Dynamical Systems Functional Analysis We study the deviation from proportionality of rows and columns in products of positive matrices. We prove a sharp, dimension-free bound showing that worst-case misalignment is already captured in dimension two and follows an explicit Mobius law, refining the classical Birkhoff-Bushell contraction theory. |
| title | Sharp Finite-Time Distortion Bounds for Products of Positive Matrices |
| topic | Mathematical Physics Dynamical Systems Functional Analysis |
| url | https://arxiv.org/abs/2512.10872 |