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math.DS2010
A special case of effective equidistribution with explicit constants
Amir Mohammadi
An effective equidistribution with explicit constants for the isometry group of rational forms with signature is proved. As an application we get an effective discreteness…
math.DS2010
Unipotent Flows And Isotropic Quadratic Forms In Positive Characteristic
Amir Mohammadi
The analogous statement to Oppenheim conjecture over a local field of positive characteristic is proved. The dynamical argument is most involved in the case of characteristic 3.
math.DS2010
Measures Invariant Under Horospherical Subgroups in Positive characteristic
Amir Mohammadi
We prove measure rigidity for the action of (maximal) horospherical subgroups on homogeneous spaces obtained by quotient by a uniform (nonuniform) arithmetic lattices over a field…