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Positive entropy invariant measures on the space of lattices with escape of mass

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Positive entropy invariant measures on the space of lattices with escape of mass

Kadyrov, Shirali
URI: http://nur.nu.edu.kz/handle/123456789/973
Date: 2010

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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