Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass

Shirali Kadyrov

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arXiv · 0912.0487

Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass

Shirali Kadyrov

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Abstract

On the space of unimodular lattices, we construct a sequence of invariant probability measures under a singular diagonal element with high entropy and show that the limit measure is 0.

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Shirali Kadyrov. 2010-09-12. Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass. https://arxiv.org/abs/0912.0487

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