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math.SP2026
On the identification of certain classes of gap-rich sets
Jake Fillman, Yi-Sheng Lim
The notion of gap-richness was recently introduced to quantify the ability to open spectral gaps for periodic word models by arbitrarily small perturbations and is useful in the co…
math.AP2026
Revisiting Picard's proof of the Picard--Weber--Weck selection theorem
Yi-Sheng Lim, Timo Sprekeler, Marcus Waurick
Revisiting the rationale provided by Picard in the seminal paper [13], we provide an independent, self-contained proof of the Maxwell compactness property for weak Lipschitz domain…