Jialun Li

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20182022

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math.DS2022

Stationary measures for $SL_{2} (R)$ -actions on homogeneous bundles over flag varieties

Alexander Gorodnik, Jialun Li, Cagri Sert

Let $G$ be a real semisimple Lie group with finite centre and without compact factors, $Q < G$ a parabolic subgroup and $X$ a homogeneous space of $G$ admitting an equivariant projec…

math.DS2022

Equidistribution and counting of periodic flat tori

Nguyen-Thi Dang, Jialun Li

Let $G$ be a semisimple Lie group without compact factor and $Γ < G$ a torsion-free, cocompact, irreducible lattice. According to Selberg, periodic orbits of regular Weyl chamber fl…

math.DS2019

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.DS2018

Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups

Jialun Li

We establish an exponential error term for the renewal theorem in the context of products of random matrices, which is surprising compared with classical abelian cases. A key tool…

Stationary measures for SL2​(R)-actions on homogeneous bundles over flag varieties

Equidistribution and counting of periodic flat tori

Fourier transform of self-affine measures

Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups

Stationary measures for $SL_{2} (R)$ -actions on homogeneous bundles over flag varieties