(arXiv version may be different from the final version)
1. On Fourier frame of absolutely continuous measures, J. Funct. Anal., 261 (2011), 2877-2889. [arxiv], [journal]
2. (with K.S. Lau and X.G. He), Exponential spectra in L2(\mu), Appl. Comp. Harm. Anal., 34 (2013), 327-338. [arxiv], [journal]
3. (with K.S. Lau and H. Rao), Spectral structure of digit sets of self-similar tiles on R^1, Tran. Amer. Math. Soc, 365 (2013), 3831-3850. [arxiv], [journal]
4. (with X.G. He and X.R. Dai), Spectral property of Cantor measures with consecutive digits, Adv in Math, 242 (2013), 187-208. [arxiv], [journal]
5. (with D. Dutkay) Some reduction of the spectral set conjecture to integers, Math. Cambridge. Proc. Soc., 156 (2014), 123-135. [arxiv], [journal]
6. (with D. Dutkay) Uniformity of measures with Fourier frames, Adv in Math., 252 (2014), 684-707. [arxiv], [journal]
7. (with J.-P Gabardo) Frames of multi-windowed exponentials on subsets of R^d, Appl. Comp. Harm. Anal., 36 (2014), 461-472. [arxiv], [journal]
8. (with J.-P Gabardo) Spectral measures associated with the factorization of the Lebesgue measure on a set via convolution, J. Fourier. Anal. Appl., 20 (2014), 453-475. [arxiv], [journal]
9. (with J.-P Gabardo and Y. Wang), Gabor orthonormal bases generated by the unit cubes, J. Funct. Anal., 269 (2015), 1515-1538. [arxiv], [journal]
10. (with K.S. Lau and H. Rao), Classification of tile digit sets as product-forms, Tran. Amer. Math. Soc., 369 (2017), 623-644 . [arxiv], [journal]
11. (with D. Dutkay), Spectral measures generated by arbitrary and random convolution, J. Math Pure. Appl. 107 (2017), 183-204. [arxiv], [journal]
12. Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions, Annales Academiæ Scientiarum Fennicæ, 42 (2017), 1009-1017. [arxiv], [journal].
13. (with Y. Wang), Non-spectral fractal measures with Fourier frames, J. Fractal Geometry, 4 (2017), 305-327. [arxiv], [journal]
14. (with X. Fu), Translational absolute continuity and Fourier frames on a sum of singular measures, J. Funct. Anal., 274 (2018), 2477-2498. [arxiv], [journal]
15. (with S. Li and D. Mondo) Spark Level Sparsity and the ℓ1 Tail Minimization, Appl. Comput. Harm. Anal, 45 (2018), 206-215. [arxiv], [journal].
16. (with R. Chung) Non-symmetric Convex Polytope and Gabor orthonormal bases. Proc. Amer. Math. Soc., 146 (2018), 5147-5155 [arxiv], [journal]
17. (with A. Iosevich and A. Mayeli) Tight Wavelet Frame Sets in Finite Vector Spaces. Appl. Comput. Harm. Anal, 46 (2019), 192-205. [arxiv], [journal]
18. (with D. Dutkay and J. Hausermann) Hadamard triples generate self-affine spectral measures, Tran. Amer Math. Soc., 371(2019), 1439–1481. [arxiv], [journal]
19. (with L-X. An and X. Fu) On Spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem, Adv in Math, 349 (2019), 84-124. [arxiv], [journal]
20. (with S. Tang) Undersampled windowed exponentials and their applications, Acta. App. Math., 164 (2019), 65-81. [arxiv], [journal].
21. (with A. Mayeli) Non-separable lattices, Gabor orthonormal bases and tilings, J. Fourier. Anal. Appl., 25 (2019), 3075–3103. [arxiv], [journal].
22. (with L. Evans) Conjugate phase retrieval on C^M by real vectors, Linear. Algebra. Appl., 587 (2020), 45-69. [arxiv], [journal].
23. (with B. Liu and H. Prince), Spectral properties of some union of linear spaces, J. Funct. Anal., 280 (2021), 108985. [arxiv], [journal].
24. (with J.-P Gabardo and V. Oussa), On exponential bases and frames with non-linear phase functions and some applications, J. Fourier. Anal. Appl., 27 (2021), Article Number 9. [arxiv], [journal]
25. (With D. Dutkay and S. Emami) Exactness and Existence of exponential Riesz sequence and frames for fractal measures, J. Anal., Math., 143 (2021), 289–311. [arxiv], [Journal]
26. (with F. Littmann and E. Weber), Conjugate phase retrieval in Paley-Wiener space, J. Fourier Anal. Appl., 27, Article number: 89 (2021) [arxiv], [journal].
27. (with A. Iosevich, B. Liu and E. Wyman) Fourier frames for surface-carried measures, International Math Research Notice, 2022 (2022), 1644-1665. [arxiv], [journal].
28. (with D. Dysthe), Hausdorff and Fourier dimensions of graph of continuous additive processes, Stochastic processes and its applications, 155 (2023), 355-392. [arxiv], [journal]
29. (With L.-X An), Arbitrarily sparse spectra for self-affine spectral measures, Analysis Mathematica, 49 (2023), 19-42. [arxiv], [journal]
30. (with J. Gallagher and E. Weber), On a topological Erdos similarity problem, Bulletin of London Math Soc, 55(2023), 1104-1119 [arxiv], [journal].
31. (with L.-X An), Product-form Hadamard triples and its spectral self-similar measures, Adv in Math, 431 (2023), Paper No. 109257. [arxiv], [journal].
32.(with A. Cruz and M. Pramanik), Large sets avoiding affine copies of infinite sequences, Real Anal. Exchange 48(2): 251-270 (2023). [arxiv], [journal]
33. (with A. Sheynis), Riesz bases of exponentials for multi-tiling measures, Sampling Theory, Data Analysis and Signal Processing, 21, Article number: 29 (2023) [arxiv], [journal]
34. (with L.-X An and X.-G He) Classification of spectral self-similar measures with four-digit elements. Asian J. Math, 27 [2023], 467-492. [arxiv], [journal].
35. (with D.-J Feng and Y. Xiong), Erdos similarity problem via bi-Lipschitz embedding, International Math Research Notice, 2024, no 17, 12327–12342. [arxiv], [journal].
36. (with L. P. Patil) Projection of totally disconnected thin fractals with very thick shadow on R^d, J. Fractal Geometry, 11 (2024), 289-317. [arxiv], [journal].
1. (with X.-R. Dai, X.-G. He) Law of pure types and some exotic spectra of fractal spectral measures, Proceeding in Mathematics and Statistics 88, pp 47–64, Geometry and Analysis of Fractals, D.-J. Feng and K. S. Lau (eds.), Springer, 2014. [journal]
2. (with D. Dutkay and Y. Wang) Fourier Bases and Fourier Frames on Self-Affine Measures, Conference on Fractals and Related Fields, FARF3 2015: Recent Developments in Fractals and Related Fields pp 87-111. [arxiv], [journal]
3. (with K.-S. Lau) Some Recent Development of Self-Affine Tiles, Conference on Fractals and Related Fields, FARF3 2015: Recent Developments in Fractals and Related Fields, pp 207-232. [journal].
4. (with Yeonwook Jung and Yuveshen Mooroogen) Fifty years of the Erd\"os similarity conjecture, Research in Mathematical Science, Volume 12, Article 9, (2025). [arxiv], [journal].
1. (with Yeonwook Jung) Topological Erdos similarity conjecture and strong measure zero sets. [arxiv].
2. (with Yeonwook Jung) Interior of certain sum and continuous images of very thin Cantor sets. [arxiv].
3. (with Ruxi Shi) When is the fractal uncertainty principle for discrete Cantor sets most uncertain? [arxiv].
4. (with Cheuk Yin Lee) Fourier dimension of the graph of fractional Brownian motion with H>1/2. [arxiv].
5. (with Adeline Wong) A non-sticky Kakeya set of Lebesgue measure zero. [arxiv].
6. (with Mihalis Kolountzakis) Non-spectrality of some piecewise smooth curves and unions of line segments. [arxiv].
1. (with J.-P Gabardo) Beurling densities and frames of exponentials on the union of small balls [arxiv]