I am a CNRS researcher in the Laurent Schwartz center for Mathematics, École Polytechnique. I am interested in dynamics on Lie groups.

Publications and preprints

[16] Density of shapes of periodic tori in the cubic case, with Thi Dang, Nihar Gargava, arXiv:2502.12754

[15] Selberg, Ihara and Berkovich, with Carlos Matheus, Wenyu Pan, Zhongkai Tao, arXiv:2412.20754

[14] On the Dimension of Limit Sets on RP^2 via Stationary Measures II: variational principles and applications, with Yuxiang Jiao, Wenyu Pan, Disheng Xu, accepted by IMRN

[13] On the dimension of limit sets on RP^2 via stationary measures I: the theory and Applications, with Wenyu Pan, Disheng Xu, arXiv:2311.10265

[12] Exponential mixing of frame flows for geometrically finite hyperbolic manifolds, with Pratyush Sarkar, Wenyu Pan, arXiv:2302.03798

[11] Stationary measures for SL2(ℝ)-actions on homogeneous bundles over flag varieties, with Alex Gorodnik, Cagri Sert, accepted by Crelle's Journal 

[10] Equidistribution and counting of periodic tori in the space of Weyl chambers, with Nguyen-Thi Dang, accepted by Commentarii Mathematici Helvetici,  

[9] Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps, with Wenyu Pan,  Invent. math. 231, 931–1021 (2023).

[8] Appendix of: The space of homogeneous probability measures on Γ∖X  is compact, by Christopher Daw, Alexander Gorodnik, Emmanuel Ullmo, Math. Ann. 386, 987–1016 (2023).

[7] Fourier transform of self-affine measures, with Tuomas Sahlsten, Advances in Mathematics 374 (2020).

[6] Trigonometric Series and Self-similar Sets, with Tuomas Sahlsten, J. Eur. Math. Soc. 24 (2022), no. 1, pp. 341–368

[5] Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay, with an appendix on stationarity of Patterson-Sullivan measures, with Frédéric Naud and Wenyu Pan, Duke Math. J. 170, issue 4, (2021) pp. 775 - 825.

[4] Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups, Annales Scientifiques de l'ÉNS, Tome 55, Fasc.6, pp 1613-1686, 2022

[3] Discretized Sum-product and Fourier decay in Rn,  Journal d'Analyse Mathématique, 143,  (2021) pp. 763–800.

[2] Finiteness of Small Eigenvalues of Geometrically Finite Rank one Locally Symmetric Manifolds,  Mathematical Research Letters, 27, number 2 (2020) pp. 465 – 500.

[1] Decrease of Fourier Coefficients of Stationary Measures, Mathematische Annalen, 372, (2018) pp. 1189–1238. 

Short CV

2019-2023  Postdoc in University of Zurich

2015-2018  Ph.D. of Mathematics in University of Bordeaux

Thesis with the title “Harmonic analysis of Stationary measures” under the direction of Jean-Francois Quint defended 4 December 2018, at l’Institut de Mathématiques de Bordeaux. 

2013-2016 Student in Ecole Normale Supérieure Paris 

2010-2014 License of mathematics, in Tsinghua University, Beijing, China 

Organization: 

Diagonal actions in the space of lattices, Palaiseau, 4-6 March 2024