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arXiv · 2512.07340

Lyapunov maximizing measures for balanced pairs of matrices

Rui Gao
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Abstract

We show that every balanced pair (see Definition 1.1) of real $2\times 2$ matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian.

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Rui Gao. 2025-12-14. Lyapunov maximizing measures for balanced pairs of matrices. https://arxiv.org/abs/2512.07340

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