1 citations · 1 across the 6 of their papers we have counts for
8 papers
Discrete intermediate dimensions: endpoints, spectra and quasi-isometric invariance
Jinjun Li, Lifeng Xi, Shuqin Zhang
We introduce upper and lower discrete intermediate dimensions for unbounded subsets of Euclidean space and extend them to metric spaces. The definitions restrict the covering radii…
Projection theorems for macroscopic intermediate dimensions
Jinjun Li, Lifeng Xi
We introduce lower and upper macroscopic intermediate dimensions of unbounded subsets of Euclidean space by combining covering contributions from all dyadic annuli beyond a given s…
Spectrality of factors of product spectral measures
Mihail N. Kolountzakis, Chun-Kit Lai, Kailing Lai +1
We refine the method by Greenfeld and Lev for the product spectral set problem and generalize the theorem to a singular measure setting. Furthermore, we establish a new class of sp…
Quantitative Hardy--Littlewood maximal inequalities and Wiener--Stein theorem on p.c.f. fractals
Long Huang, Jinjun Li, Xiaofeng Wang
Let be a post-critically finite (p.c.f.) self-similar set with Hausdorff dimension , and be a self-similar probability measure supported on . Let…
Spectra of the Sierpiński type spectral measure and their Beurling dimensions
Jinjun Li, Zhiyi Wu
In this paper, we study the structure of the spectra for the Sierpiński type spectral measure on . We give a sufficient and necessary condition fo…
On the intermediate value property of spectra for a class of Moran spectral measures
Jinjun Li, Zhiyi Wu
We prove that the Beurling dimensions of the spectra for a class of Moran spectral measures are between and their upper entropy dimensions. Moreover, for such a Moran spectral…
On Assouad dimension and arithmetic progressions in sets defined by digit restrictions
Jinjun Li, Min Wu, Ying Xiong
We show that the set defined by digit restrictions contains arbitrarily long arithmetic progressions if and only if its Assouad dimension is one. Moreover, we show that for any $0\…
On exceptional sets in Erdős-Rényi limit theorem revisited
Jinjun Li, Min Wu
For the run-length function is defined as the length of the longest run of 's amongst the first dyadic digits in the dyadic expansion of Erdős an…