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Preprint · arXiv · December 2, 2009

Entropy and escape of mass for $SL(3,Z)\SL(3,R)$

Manfred Einsiedler, Shirali Kadyrov

Abstract

We study the relation between measure theoretic entropy and escape of mass for the case of a singular diagonal flow on the moduli space of three-dimensional unimodular lattices.

Mathematical Dynamics and FractalsAdvanced Algebra and GeometryAnalytic Number Theory ResearchKolmogorov-Sinai entropyunimodular latticesthree-dimensional lattice

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