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 2018Show all

3 papers · 1 filter

math.CA2018★ 3 cited

Discretized Sum-product and Fourier decay in $R^{n}$

Jialun Li

We generalize Bourgain's theorem on the decay of the Fourier transform of the multiplicative convolution of measures on $R$ to the ring $R^{n}$ , where the multiplicat…

math.DS2018★ 15 cited

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…

math.SP2018★ 1 cited

Finiteness of Small Eigenvalues of Geometrically Finite Rank one Locally Symmetric Manifolds

Jialun Li

Let M be a geometrically finite rank one locally symmetric manifolds. We prove that the spectrum of the Laplace operator on M is finite in a small interval which is optimal.

Discretized Sum-product and Fourier decay in Rn

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

Finiteness of Small Eigenvalues of Geometrically Finite Rank one Locally Symmetric Manifolds

Discretized Sum-product and Fourier decay in $R^{n}$