Sharp Finite-Time Distortion Bounds for Products of Positive Matrices
Mathematical Physics
2026-01-01 v2 Dynamical Systems
Functional Analysis
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2512.10872,
title = {Sharp Finite-Time Distortion Bounds for Products of Positive Matrices},
author = {Eugene Kritchevski},
journal= {arXiv preprint arXiv:2512.10872},
year = {2026}
}
Comments
15 pages, 2 figures. Revised exposition and proofs; main results unchanged