26 citations · 77 across the 12 of their papers we have counts for
13 papers
Equidistribution and counting of periodic tori in the space of Weyl chambers
Nguyen-Thi Dang, Jialun Li
Let G be a semisimple Lie group without compact factor and < G a torsion-free, cocompact, irreducible lattice. According to Selberg, periodic orbits of regular Weyl chamber flo…
Exponential mixing of frame flows for geometrically finite hyperbolic manifolds
Jialun Li, Wenyu Pan, Pratyush Sarkar
As a final work to establish that frame flows for geometrically finite hyperbolic manifolds of arbitrary dimensions are exponentially mixing with respect to the Bowen-Margulis-Sull…
Stationary measures for -actions on homogeneous bundles over flag varieties
Alexander Gorodnik, Jialun Li, Cagri Sert
Let be a real semisimple Lie group with finite centre and without compact factors, a parabolic subgroup and a homogeneous space of admitting an equivariant projec…
Equidistribution and counting of periodic flat tori
Nguyen-Thi Dang, Jialun Li
Let be a semisimple Lie group without compact factor and a torsion-free, cocompact, irreducible lattice. According to Selberg, periodic orbits of regular Weyl chamber fl…
Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps
Jialun Li, Wenyu Pan
Let be a geometrically finite discrete subgroup in with parabolic elements. We establish exponential mixing of the geodesic flow on the unit…
The space of homogeneous probability measures on 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…
Fourier transform of self-affine measures
Jialun Li, Tuomas Sahlsten
Suppose is a self-affine set on , , which is not a singleton, associated to affine contractions , , $…
Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay
Jialun Li, Frederic Naud, Wenyu Pan
Let be a Zariski dense Kleinian Schottky subgroup of PSL2(C). Let be its limit set, endowed with a Patterson-Sullivan measure supported on . We show that the F…
Trigonometric series and self-similar sets
Jialun Li, Tuomas Sahlsten
Let be a self-similar set on associated to contractions , , for some finite , such that is not a singleto…
Discretized Sum-product and Fourier decay in
Jialun Li
We generalize Bourgain's theorem on the decay of the Fourier transform of the multiplicative convolution of measures on to the ring , where the multiplicat…
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…
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.
Decrease of Fourier coefficients of stationary measures
Jialun Li
Let be a Borel probability measure on with a finite exponential moment, and assume that the subgroup generated by the support of is Zariski…