High entropy measures on the space of lattices with escape of mass
arXiv:2403.16840
Abstract
For any diagonal element with two eigenvalues, we construct a sequence of -invariant probability measures on the space of unimodular lattices with high entropy but converging to the zero measure. This extends the result of Kadyrov [Ergodic Theory Dynam. Systems, 32(1) (2012)].
10 pages