Search Results - "Golsefidy, Alireza Salehi"

The affine sieve by GOLSEFIDY, ALIREZA SALEHI, SARNAK, PETER

“…We establish the main saturation conjecture connected with executing a Brun sieve in the setting of an orbit of a group of affine linear transformations. This…”
Get full text

Discrete subgroups acting transitively on vertices of a Bruhat–Tits building by Mohammadi, Amir, Salehi Golsefidy, Alireza

“…We describe all the discrete subgroups of Ad ( G 0 ) ( F ) ⋊ Aut ( F ) that act transitively on the set of vertices of B = B ( F , G 0 ) , the Bruhat–Tits…”
Get full text

Inducing Super-Approximation by Salehi Golsefidy, Alireza, Zhang, Xin

“…Abstract Let $\Gamma _2\subseteq \Gamma _1$ be finitely generated subgroups of ${\operatorname{GL}}_{n_0}({\mathbb{Z}}[1/q_0])$ where $q_0$ is a positive…”
Get full text

Characteristic free measure rigidity for the action of solvable groups on homogeneous spaces by Mohammadi, Amir, Golsefidy, Alireza Salehi

“…We classify measures on a homogeneous space which are invariant under a certain solvable subgroup and ergodic under its unipotent radical. Our treatment is…”
Get full text

Counting lattices in simple Lie groups: The positive characteristic case by Salehi Golsefidy, Alireza

“…In this article, we prove the following conjecture by Lubotzky. Let G = G 0 ( K ) , where K is a local field of characteristic p ≥ 5 and where G 0 is a simply…”
Get full text

Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic by Golsefidy, Alireza Salehi

“…In this article, we show that if G is a simply connected Chevalley group of either classical type of rank bigger than 1 or type E 6 and if q > 9 is a power of…”
Get full text

Random walks on direct products of groups by Golsefidy, Alireza Salehi, Srinivas, Srivatsa

“…Suppose \operatorname{SL}_{2}(\mathbb{F}_{p})\times \operatorname{SL}_{2}(\mathbb{F}_{p}) is generated by a symmetric set S of cardinality n where p is a prime…”
Get full text

Sum-product phenomena: p-adic case by Golsefidy, Alireza Salehi

“…The sum-product phenomena over a finite extension K of ℚ p is explored. The main feature of the results is the fact that the implied constants are independent…”
Get full text

Sum-product phenomena: $$\mathfrak{p}$$-adic case by Golsefidy, Alireza Salehi

Get full text

Towards super-approximation in positive characteristic by Longo, Brian, Golsefidy, Alireza Salehi

“…In this note we show that the family of Cayley graphs of a finitely generated subgroup of ${\rm GL}_{n_0}(\mathbb{F}_p(t))$ modulo some admissible square-free…”
Get full text

Super-approximation, I: p-adic semisimple case by Golsefidy, Alireza Salehi

“…International Mathematics Research Notices 2017, Issue 23, (2017) 7190-7263 Let $k$ be a number field, $\Omega$ be a finite symmetric subset of…”
Get full text

Super-approximation, I: $\mathfrak {p}$-adic semisimple case by Salehi Golsefidy, Alireza

Get full text

Local spectral gap in simple Lie groups and applications by Boutonnet, Rémi, Ioana, Adrian, Golsefidy, Alireza Salehi

“…We introduce a novel notion of local spectral gap for general, possibly infinite, measure preserving actions. We establish local spectral gap for the left…”
Get full text

Locally Random Groups by Mallahi-Karai, Keivan, Mohammadi, Amir, Golsefidy, Alireza Salehi

Get full text

TRANSLATE OF HOROSPHERES AND COUNTING PROBLEMS by Mohammadi, Amir, Golsefidy, Alireza Salehi

“…Let G be a semisimple Lie group without compact factors, Γ be an irreducible lattice in G. In the first part of the article we give the necessary and…”
Get full text

Lattices of minimum covolume are non-uniform by Golsefidy, Alireza Salehi

“…In this article, we prove that a lattice of minimum covolume in a simple Lie group over a local field of positive characteristic is non-uniform if the Weil’s…”
Get full text

Expansion in perfect groups by Golsefidy, Alireza Salehi, Varjú, Péter P.

“…Let Γ be a subgroup of generated by a finite symmetric set S. For an integer q , denote by π q the projection map . We prove that the Cayley graphs of π q (Γ)…”
Get full text

Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic by Golsefidy, Alireza Salehi

“…Duke Mathematical Journal, 146 no. 2 (2009) 227-251 In this article, we show that if G is a simply connected Chevalley group of either classical type of rank…”
Get full text

Counting lattices in simple Lie groups: the positive characteristic case by Golsefidy, Alireza Salehi

“…Duke Math. J. 161, no. 3 (2012), 431-481 In this article we prove a conjecture of A. Lubotzky: let G = G_0(K), where K is a local field of characteristic p>5,…”
Get full text

Expansion in perfect groups by Golsefidy, Alireza Salehi, Varjú, Péter P

“…Geom. Funct. Anal., 22(6), 1832-1891 (2012) Let Ga be a subgroup of GL_d(Q) generated by a finite symmetric set S. For an integer q, denote by Ga_q the…”
Get full text