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math.DS2009
Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass
Shirali Kadyrov
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 i…
math.DS2009★ 8 cited
Entropy and escape of mass for $SL(3,Z)\SL(3,R)$
Manfred Einsiedler, Shirali Kadyrov
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.