103 citations · 370 across the 51 of their papers we have counts for
57 papers
Distribution of simplices in the discrete and continuous settings
Thang Pham, Chun-Yen Shen, Boqing Xue
In this paper, we study the distribution of simplices in both discrete and continuous settings. Let be an odd prime power, let be a nondegenerate quadratic form on $\mathbb…
On Erdos-Falconer distance problem in even dimensions
Thang Pham, Chun-Yen Shen, Boqing Xue
Let be an odd prime power and be the finite field of order . We prove an extraction theorem for the Erdős-Falconer distance conjecture in even dimensions, sho…
On the structure and generic non-Cartesianity of polynomials in product spaces
Chun-Yen Shen, Tuyen Trung Truong, Wei-Hsuan Yu
We develop a general theory of Cartesian and non-Cartesian polynomials on products of complex spaces . We prove that, for an…
High-Order Synchrosqueezed Chirplet Transforms for Multicomponent Signal Analysis
Yi-Ju Yen, De-Yan Lu, Sing-Yuan Yeh +2
This study focuses on the analysis of signals containing multiple components with crossover instantaneous frequencies (IF). This problem was initially solved with the chirplet tran…
Muckenhoupt-type weights and the intrinsic structure in Bessel Setting
Ji Li, Chong-Wei Liang, Fred Yu-Hsiang Lin +1
Fix and . Consider the Bessel operator (introduced by Muckenhoupt--Stein) on …
Discretized sum-product type problems: Energy variants and Applications
Quy Pham, Thang Pham, Chun-Yen Shen
In this paper, we provide estimates for the additive discretized energy of \[\sum_{c\in C} |\{(a_1, a_2, b_1, b_2)\in A^2\times B^2: |(a_1 +cb_1) - (a_2 + cb_2)|\le δ\}|_δ,\] that…