Jialun Li

activity

20172023

most citedFourier transform of self-affine measures

26 citations · 77 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.NT2019★ 4 cited

The space of homogeneous probability measures on $Γ\ X_{max}^{S}$ is compact

Christopher Daw, Alexander Gorodnik, Emmanuel Ullmo +1

In this paper we prove that the space of homogeneous probability measures on the maximal Satake compactification of an arithmetic locally symmetric space is compact. As an applicat…

math.DS2019★ 26 cited

Fourier transform of self-affine measures

Jialun Li, Tuomas Sahlsten

Suppose $F$ is a self-affine set on $R^{d}$ , $d \geq 2$ , which is not a singleton, associated to affine contractions $f_{j} = A_{j} + b_{j}$ , $A_{j} \in GL (d, R)$ , $…

math.DS2019★ 18 cited

Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay

Jialun Li, Frederic Naud, Wenyu Pan

Let $Γ$ be a Zariski dense Kleinian Schottky subgroup of PSL2(C). Let $Λ (Γ)$ be its limit set, endowed with a Patterson-Sullivan measure $μ$ supported on $Λ (Γ)$ . We show that the F…

math.CA2019

Trigonometric series and self-similar sets

Jialun Li, Tuomas Sahlsten

Let $F$ be a self-similar set on $R$ associated to contractions $f_{j} (x) = r_{j} x + b_{j}$ , $j \in A$ , for some finite $A$ , such that $F$ is not a singleto…

The space of homogeneous probability measures on Γ\X​maxS​ is compact

Fourier transform of self-affine measures

Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay

Trigonometric series and self-similar sets

The space of homogeneous probability measures on $Γ\ X_{max}^{S}$ is compact