36 citations · 106 across the 26 of their papers we have counts for
7 papers · 1 filter
Quantitative equidistribution and the local statistics of the spectrum of a flat torus
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We show that pair correlation function for the spectrum of a flat 2-dimensional torus satisfying an explicit Diophantine condition agrees with those of a Poisson process with a pol…
Effective equidistribution for some one parameter unipotent flows
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of in arithmetic quotients of $\ope…
Property tau in positive characteristic
Amir Mohammadi, Nattalie Tamam
We prove a quantitative equidistribution statement for certain adelic homogeneous subsets in positive characteristic. As an application, we describe a proof of property tau for ari…
Effective equidistribution and property tau
Manfred Einsiedler, Gregory Margulis, Amir Mohammadi +1
We prove a quantitative equidistribution statement for adelic homogeneous subsets whose stabilizer is maximal and semisimple. Fixing the ambient space, the statement is uniform in…
Matrix coefficients, Counting and Primes for orbits of geometrically finite groups
Amir Mohammadi, Hee Oh
Let G:=SO(n,1)^\circ and Γbe a geometrically finite Zariski dense subgroup with critical exponent delta bigger than (n-1)/2. Under a spectral gap hypothesis on L^2(Γ\ G), which is…
S-Arithmetic Khintchine-Type Theorem
Amir Mohammadi, Alireza Salehi Golsefidy
In this article we prove a convergence S-arithmetic Khintchine-type theorem for product of non-degenerate v-adic manifolds, where one of them is the Archimedian place.
Simultaneous Diophantine Approximation in Non-degenerate p-adic Manifolds
Amir Mohammadi, Alireza Salehi Golsefidy
S-arithmetic Khintchine-type theorem for products of non-degenerate analytic p-adic manifolds is proved for the convergence case. In the p-adic case the divergence part is also obt…