Jialun LI


Institut de Mathématiques de Bordeaux
Université Bordeaux 1
351 cours de la Libération
33 405 Talence Cedex
France
E-mail :jialun.li at math.u-bordeaux.fr
Bureau : 207


Publications and prepublications

- Decrease of Fourier Coefficients of Stationary Measures, Math. Ann. (2018) 372: 1189. https://doi.org/10.1007/s00208-018-1743-3

- Finiteness of Small Eigenvalues of Geometrically Finite Rank one Locally Symmetric Manifolds, to appear in MRL.

- Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups , preprint (2018) 64 p.

- Discretized Sum-product and Fourier decay in R^n , preprint (2018) 28 p.

- With Frédéric Naud and Wenyu Pan, Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay; contains an appendix on the stationarity of Patterson-Sullivan measures , preprint (2019) 34 p.

- With Tuomas Sahlsten, Trigonometric series and self-similar sets , preprint (2019) 18 p.

Others

- Harmonic analysis of stationary measures (Analyse harmonique des mesures stationnaires), my PhD thesis (Université de Bordeaux), written under the supervision of Jean-François Quint.

- Fourier dimension and spectral gaps for stationary measures on circle , The results in this manuscript are superseded by the article "Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups", permenant preprint (2018) 20 p.