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math.DS2011
Escape of mass and entropy for diagonal flows in real rank one situations
Manfred Einsiedler, Shirali Kadyrov, Anke Pohl
Let be a connected semisimple Lie group of real rank 1 with finite center, let be a non-uniform lattice in and any diagonalizable element in . We investigate the…
math.DS2011
Algebraic Numbers, Hyperbolicity, and Density Modulo One
Alexander Gorodnik, Shirali Kadyrov
We prove the density of the sets of the form modulo one, where and are multiplicatively independent algebra…
math.DS2011★ 3 cited
Entropy and Escape of Mass for Hilbert Modular Spaces
Shirali Kadyrov
We study the relation between metric entropy and escape of mass for the Hilbert modular spaces with the action of a diagonal element.