Add to ORKGWe prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\operatorname{SL}_2(\mathbb R)$ in arithmetic quotients of $\operatorname{SL}_2(\mathbb C)$ and $\operatorname{SL}_2(\mathbb R)\times\operatorname{SL}_2(\mathbb R)$. The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.Comment: 18 page
This article is based on the appendix of our previous preprint: arXiv:1411.4078. We have included im...
In the first part of this thesis, we are concerned with effective equidistribution of translates of ...
Abstract. For a system of Laurent polynomials f1,..., fn ∈ C[x±11,..., x±1n] whose coefficients are ...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
We prove effective density theorems, with a polynomial error rate, for orbits of the upper triangula...
Let G=SL(2,R) (sic) (R-2)(circle plus k) and let Gamma be a congruence subgroup of SL(2,Z) (sic) (Z(...
We prove a polynomially effective equidistribution result for expanding translates in the space of $...
Let G = SL(2, R) n, let Γ = Γn 0 , where Γ0 is a co-compact lattice in SL(2, R), let F(x) be a n...
We formulate and prove two generalizations of Weyl's classical equidistribution theorem: The first t...
We study the asymptotic distribution of almost-prime entries in horospherical flows on the quotient ...
This thesis consists of an introduction and five papers in the general area of dynamics and function...
The distributional properties of the translation flow on the unit square have been considered in dif...
We give an effective bound on how much time orbits of a unipotent group $U$ on an arithmetic quotien...
The expected number of real projective roots of orthogonally invariant random homogeneous real polyn...
We prove an effective equidistribution for diagonal translates of certain orbits in ASL(3,Z)\ASL(3,R...
This article is based on the appendix of our previous preprint: arXiv:1411.4078. We have included im...
In the first part of this thesis, we are concerned with effective equidistribution of translates of ...
Abstract. For a system of Laurent polynomials f1,..., fn ∈ C[x±11,..., x±1n] whose coefficients are ...
We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipoten...
We prove effective density theorems, with a polynomial error rate, for orbits of the upper triangula...
Let G=SL(2,R) (sic) (R-2)(circle plus k) and let Gamma be a congruence subgroup of SL(2,Z) (sic) (Z(...
We prove a polynomially effective equidistribution result for expanding translates in the space of $...
Let G = SL(2, R) n, let Γ = Γn 0 , where Γ0 is a co-compact lattice in SL(2, R), let F(x) be a n...
We formulate and prove two generalizations of Weyl's classical equidistribution theorem: The first t...
We study the asymptotic distribution of almost-prime entries in horospherical flows on the quotient ...
This thesis consists of an introduction and five papers in the general area of dynamics and function...
The distributional properties of the translation flow on the unit square have been considered in dif...
We give an effective bound on how much time orbits of a unipotent group $U$ on an arithmetic quotien...
The expected number of real projective roots of orthogonally invariant random homogeneous real polyn...
We prove an effective equidistribution for diagonal translates of certain orbits in ASL(3,Z)\ASL(3,R...
This article is based on the appendix of our previous preprint: arXiv:1411.4078. We have included im...
In the first part of this thesis, we are concerned with effective equidistribution of translates of ...
Abstract. For a system of Laurent polynomials f1,..., fn ∈ C[x±11,..., x±1n] whose coefficients are ...