Effective equidistribution of expanding translates in the space of affine lattices

Abstract

We prove a polynomially effective equidistribution result for expanding translates in the space of $d$-dimensional affine lattices for any $d\ge 2$.

v1->v2: Section 5 is added for general diagonal flows v2->v3: Lemma 3.7 in the previous version was wrong. Additional arguments are added to Subsection 4.1 to fix this issue. Main theorems are unchanged

References in corpus (1)

• Asymptotic evolution of smooth curves under geodesic flow on hyperbolic manifolds - II