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

Shirali Kadyrov

Research output: Contribution to journalArticle

4 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 zero.

Original languageEnglish
Pages (from-to)141-157
Number of pages17
JournalErgodic Theory and Dynamical Systems
Volume32
Issue number1
DOIs
Publication statusPublished - Feb 2012
Externally publishedYes

Fingerprint

Invariant Measure
Probability Measure
Entropy
Zero

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Positive entropy invariant measures on the space of lattices with escape of mass. / Kadyrov, Shirali.

In: Ergodic Theory and Dynamical Systems, Vol. 32, No. 1, 02.2012, p. 141-157.

Research output: Contribution to journalArticle

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