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math.PR2026
The Expiring Coupon Collector: Sliding-Window Surjection Flux and Rare-Entry Laws
Christopher D. Long
We study the coupon collector with deterministic expiration: one coupon is drawn at each time, and each coupon remains active for exactly draws. Completion occurs when all …
math.PR2026
Terminal Defects, Growing Multiplicity, and Variance Extremality in the Double Dixie Cup Problem
Christopher D. Long
We develop a terminal-defect method for the double Dixie cup problem and use it to prove the finite-variance extremality conjecture of Doumas and Papanicolaou. For every \(m\ge1\)…