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

S Kadyrov

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)

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.
Translated title of the contributionPositive Entropy Invariant Measures on the Space of Lattices with Escape of Mass
Original languageEnglish
Pages (from-to)141-157
Number of pages17
JournalErgodic Theory and Dynamical Systems
Volume32
Issue number1
Early online date27 Jan 2011
DOIs
Publication statusPublished - Feb 2012

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