Research interest：
I'm interested in harmonic analysis, dynamical system and ergodic theory. I am also concerned with spectral set conjecture on locally compact abelian groups.
Publications and preprints:
Mean topological dimension of induced amenable group actions.
(with Guohua zhang)
[arxiv]Multiplicity of topological systems.
(with David Burguet)
[arxiv]Application of waist inequality to entropy and mean dimension.
(with Masaki Tsukamoto)
Trans. Amer. Math. Soc., to appear.
[arxiv]Strongly isomorphic symbolic extensions for expansive topological flows.
(with Yonatan Gutman)
[arxiv]Topological mean dimension of induced systems.
(with David Burguet)
[arxiv]Mean dimension of natural extension of algebraic systems.
(with Bingbing Liang)
[arxiv]On $p$-adic spectral measures.
Adv. Math., to appear.
[arxiv]Spectrum of weighted Birkhoff average.
(with Balázs Bárány and Michał Rams)
Studia Math. , 269 (2023), no. 1, 65–82.
[journal][arxiv]Finite mean dimension and marker property.
Trans. Amer. Math. Soc., to appear.
[arxiv]
Embedding theorems for discrete dynamical systems and topological flows.
Studia Math. , 270 (2023), 57-72.
[journal][arxiv]Mean dimension of continuous cellular automata.
(with David Burguet)
Isr. J. Math., to apear.
[hal][arxiv]On variational principles for metric mean dimension.
IEEE Trans. Inform. Theory, 68 (2022), no. 7, 4282–4288.
[journal][arxiv]Divergent coindex sequence for dynamical systems.
(with Masaki Tsukamoto)
J. Topol. Anal., to appear.
[journal][arxiv]On the multifractal spectrum of weighted Birkhoff averages.
(with Balázs Bárány and Michał Rams)
Discrete Contin. Dyn. Syst., 42 (2022), no. 5, 2461–2497.
[journal][arxiv]Zero-dimensional and symbolic extensions for topological flows.
(with David Burguet)
Discrete Contin. Dyn. Syst., 2022, 42(3): 1105-1126.
[journal][hal][arxiv]A counter-example for polynomial version of Sarnak's conjecture.
(with Zhengxing Lian)
Adv. Math., 384 (2021), Paper No. 107765, 14 pp.
[journal][arxiv]On dimensions of frame spectral measures and their frame spectra,
Ann. Acad. Sci. Fenn. Math., 46 (2021), no. 1, 483–493.
[journal][arxiv]Construction of some Chowla sequences,
Monatsh. Math., 2021, 194(1): 193–224.
[journal][arxiv]Equi-distribution on planes and spectral set conjecture on $\mathbb{Z}_{p^2}\times \mathbb{Z}_{p}$,
J. Lond. Math. Soc, 2020, 102(2): 1030-1046.
[journal][arxiv]Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$,
Discrete Anal., 2019:14, 14 pp.
[journal] [arxiv]Fuglede's conjecture holds in $\mathbb{Q}_p$,
Math. Ann. , 2019, 375(1-2): 315-341.
(with Ai-Hua Fan, Shilei Fan and Lingmin Liao)
[journal] [arxiv]Spectrality of a class of Cantor-Moran measure,
J. Funct. Anal., 2019, 276(12): 3767-3794.
[journal]Equivalent definitions of oscillating sequences of higher orders,
Collect. Math. , 2018, 69(3), 395-405.
[journal] [arxiv]Compact open spectral sets in $\mathbb{Q}_p$,
J. Funct. Anal., 2016, 271(12): 3628-3661.
(with Ai-Hua Fan and Shilei Fan)
[journal] [arxiv]