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

DOI10.1017/S0143385710000726zbMath1251.37008arXiv0912.0487OpenAlexW2964028636MaRDI QIDQ2884078

Shirali Kadyrov

Publication date: 24 May 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0487

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (4)

Excursions to the cusps for geometrically finite hyperbolic orbifolds and equidistribution of closed geodesics in regular covers ⋮ Singular systems of linear forms and non-escape of mass in the space of lattices ⋮ Amount of failure of upper-semicontinuity of entropy in non-compact rank-one situations, and Hausdorff dimension ⋮ Entropy and escape of mass for SL\(_3(\mathbb{Z})\backslash\) SL\(_3 (\mathbb{R})\)

Cites Work

• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
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