Escape of mass and entropy for diagonal flows in real rank one situations

M Einsiedler, S Kadyrov, A Pohl

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

7 Citations (Scopus)

Abstract

Let $G$ be any connected semisimple Lie group of real rank 1 with finite center, let $\Gamma$ be any non-uniform lattice in $G$ and $a$ any diagonalizable element in $G$. We investigate the relation between the metric entropy of $a$ acting on the homogeneous space $\Gamma\backslash G$ and escape of mass. Moreover, we provide bounds on the escaping mass.
Translated title of the contributionEscape of mass and entropy for diagonal flows in real rank one situations
Original languageEnglish
Pages (from-to)245–295
Number of pages24
JournalIsrael Journal of Mathematics
DOIs
Publication statusPublished - 2012

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