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

2009/12/02 by Shirali Kadyrov, Kadyrov, Shirali
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.0912.0487

arxiv created 2010/09/12 · arxiv updated 2010/09/14

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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