Bounds on Lyapunov Exponents via Entropy Accumulation

DOI10.1109/TIT.2020.3026959zbMath1465.60012arXiv1905.03270OpenAlexW2981410355MaRDI QIDQ5151689

Omar Fawzi, David Sutter, Renato Renner

Publication date: 22 February 2021

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03270

zbMATH Keywords

random matricesLyapunov exponentsentropy accumulation theorem

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Convex programming (90C25) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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Lyapunov Exponent of Rank-One Matrices: Ergodic Formula and Inapproximability of the Optimal Distribution ⋮ Quantitative lower bounds on the Lyapunov exponent from multivariate matrix inequalities

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