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

Published online by Cambridge University Press:  27 January 2011

SHIRALI KADYROV
SHIRALI KADYROV*
Affiliation:
Mathematics Department, The Ohio State University, Columbus, Ohio, USA (email: shirali.kadyrov@bristol.ac.uk)
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 1 , February 2012 , pp. 141 - 157
Copyright
Copyright © Cambridge University Press 2011

References

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