Nattalie Tamam

activity

20122024

most citedHausdorff dimension of weighted singular vectors

1 citations · 1 across the 9 of their papers we have counts for

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7 papers · 1 filter

math.DS2022

Geometric interpretation of quantitative instability

Omri N. Solan, Nattalie Tamam

Given a real algebraic group $G$ acting on a linear space $V$ , a vector $v \in V$ is called unstable if $0 \in G v - G v$ , where the closure is taken with respect to the Zaris…

math.DS2022

On Topologically Big Divergent Trajectories

Omri N. Solan, Nattalie Tamam

We study the behavior of $A$ -orbits in $G /Γ$ , when $G$ is a semisimple real algebraic $Q$ -group, $Γ$ is a non-uniform arithmetic lattice, and $A$ is a torus of dimension $…

math.DS2020

Distribution of orbits of geometrically finite groups acting on null vectors

Nattalie Tamam, Jacqueline M. Warren

We study the distribution of non-discrete orbits of geometrically finite groups in $SO (n, 1)$ acting on $R^{n + 1}$ , and more generally on the quotient of $\op…

math.DS2020

Effective equidistribution of horospherical flows in infinite volume rank one homogeneous spaces

Nattalie Tamam, Jacqueline M. Warren

We prove effective equidistribution of horospherical flows in $SO (n, 1)^{\circ} /Γ$ when $Γ$ is geometrically finite and the frame flow is exponentially mixing for the…

math.DS2019

Existence of Non-Obvious Divergent Trajectories in homogeneous spaces

Nattalie Tamam

We prove a modified version for a conjecture of Weiss from 2004. Let $G$ be a semisimple real algebraic group defined over $Q$ , $Γ$ be an arithmetic subgroup of $G$ . A tra…

math.DS2018

Divergent Trajectories in Arithmetic Homogeneous Spaces of Rational Rank Two

Nattalie Tamam

Let $G$ be a real algebraic group defined over $Q$ , $Γ$ be an arithmetic subgroup of $G$ , and $T$ be a maximal $R$ -split torus. A trajectory in $G /Γ$ is divergent…

math.DS2016★ 1 cited

Hausdorff dimension of weighted singular vectors

Lingmin Liao, Ronggang Shi, Omri N. Solan +1

Let $w = (w_{1}, w_{2})$ be a pair of positive real numbers with $w_{1} + w_{2} = 1$ and $w_{1} \geq w_{2}$ . We show that the set of $w$ -weighted singular vectors in $R^{2}$ has Hausdorff dimens…