1 citations · 2 across the 3 of their papers we have counts for
5 papers
Locally Random Groups
Keivan Mallahi-Karai, Amir Mohammadi, Alireza Salehi Golsefidy
In this work, we will introduce and study the notion of local randomness for compact metric groups. We prove a mixing inequality as well as a product result for locally random grou…
Isolations of geodesic planes in the frame bundle of a hyperbolic -manifold
Amir Mohammadi, Hee Oh
We present a quantitative isolation property of the lifts of properly immersed geodesic planes in the frame bundle of a geometrically finite hyperbolic -manifold. Our estimates…
Ergodicity of unipotent flows and Kleinian groups
Amir Mohammadi, Hee Oh
Let M be a non-elementary convex cocompact hyperbolic 3 manifold and delta the critical exponent of its fundamental group. We prove that a one-dimensional unipotent flow for the fr…
A joining classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman)
Manfred Einsiedler, Amir Mohammadi
We prove the classification of joinings for maximal horospherical subgroups acting on homogeneous spaces without any restriction on the characteristic. Using the linearization tech…
The extremal symmetry of arithmetic simplicial complexes
Benson Farb, Amir Mohammadi
Let be a higher-rank semisimple Lie group over a nonarchimedean local field, for example . To any lattice in there is an associated simplicial compl…