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Item Open Access ENTROPY AND ESCAPE OF MASS FOR SL3(Z)\ SL3(R)(arXivLabs, 2010) Einsiedler M.; Kadyrov Sh.We study the relation between measure theoretic entropy and escape of mass for the case of a singular diagonal flow on the moduli space of three-dimensional unimodular lattices.Item Open Access ESCAPE OF MASS AND ENTROPY FOR DIAGONAL FLOWS IN REAL RANK ONE SITUATIONS(ISRAEL JOURNAL OF MATHEMATICS, 2014) Einsiedler M.; Kadyrov S.; Pohl A.Let G be a connected semisimple Lie group of real rank 1 with finite center, let Γ be a 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 Γ\G and escape of mass. Moreover, we provide bounds on the escaping mass and, as an application, we show that the Hausdorff dimension of the set of orbits (under iteration of a) which miss a fixed open set is not full.