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arXiv · 2607.19841

Strong non-arithmeticity for Zariski dense subsemigroups

Ion Grama·Jean-François Quint·Hui Xiao
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Abstract

We prove a non-arithmeticity property for the complex eigenvalues of a Zariski dense subsemigroups of real reductive algebraic groups. This property will be used in [7] in order to establish a local limit theorem for the operator norm of products of random matrices.

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Ion Grama, Jean-François Quint, Hui Xiao. 2026-07-22. Strong non-arithmeticity for Zariski dense subsemigroups. https://arxiv.org/abs/2607.19841

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