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math.DS2016
Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces
Amir Mohammadi, Alireza Salehi Golsefidy
We classify measures on a homogeneous space which are invariant under a certain solvable subgroup and ergodic under its unipotent radical. Our treatment is independent of character…
math.DS2013
Translate of horospheres and counting problems
Amir Mohammadi, Alireza Salehi Golsefidy
Let G be a semisimple Lie group without compact factors, Γbe an irreducible lattice in G. In the first part of the article we give the necessary and sufficient condition under whic…