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math.PR2026
Weighted-threshold Coupon Collection
Sebastian Müller, Stjepan Šebek
We study a weighted-threshold version of the coupon collector problem in continuous time. Each type is discovered at rate and, once discovered, contributes weight ,…
quant-ph2026
Semiclassical periodic-orbit theory for quantum spectra
Sebastian Müller, Martin Sieber
Gutzwiller's trace formula has a central place in quantum chaos because it provides semiclassical approximations for quantum energy levels in classically chaotic systems by linking…