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math.NT2026
Irrationality exponents of logarithms of positive rational numbers
Jingwen Liu, Kai Jiang, Pingwen Zhang
We study rational approximation to logarithms of positive rational numbers and give a separated-weight determinant argument for whenever $r\in\mathbb Q_{>0}\setminus\…
cond-mat.soft2026
Phason-Driven Diversity of Nucleation Pathways in Icosahedral Quasicrystals
Gang Cui, Lei Zhang, Pingwen Zhang +2
The nucleation of quasicrystals remains a fundamental puzzle, primarily due to the absence of a periodic translational template. Here, we demonstrate that phasons - hidden degrees…