3 papers
cond-mat.mtrl-sci2026
Framework for Quasiperiodic Interfaces: Proximal Coincidence Point Set and Computation
Suining Xiong, Wenwen Zou, Pingwen Zhang +1
We present a unified theoretical and computational framework that bridges mathematical quasiperiodicity with classical crystallographic models. Based on a rigorous cut-and-projecti…
math.CA2025
Representation of quasi-periodic functions and Hausdorff-Young inequalities for Besicovitch almost periodic functions
Aihua Fan, Kai Jiang, Pingwen Zhang
For a class of -ations and -actions on the -dimensional torus , we characterize their unique ergodicity and establish a theorem of Weyl…
cond-mat.soft2024
Stability of diverse dodecagonal quasicrystals in T-shaped liquid crystalline molecules
Xin Wang, An-Chang Shi, Pingwen Zhang +1
Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric unit…