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Preprint · arXiv · December 2, 2009

A Construction of Invariant Measures on the Space of Lattices

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.

Mathematical Dynamics and FractalsAdvanced Algebra and Geometryp-Adic Analysis and Mathematical Physicsinvariant probability measuresunimodular latticeslimit measures

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