The ballot probability b_d that the winner in the two-player coupon collector problem was never behind satisfies b_d ~ 2/d as d → ∞.
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Determinantal formulae for generating functions of totally symmetric plane partitions are derived, yielding lattice path and tableaux models that generalize the dual Littlewood identities.
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The Ballot Event for Two-Player Coupon Collection: A Renewal--Catalan Asymptotic
The ballot probability b_d that the winner in the two-player coupon collector problem was never behind satisfies b_d ~ 2/d as d → ∞.
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Determinantal formulae for a symmetric generating function of totally symmetric plane partitions
Determinantal formulae for generating functions of totally symmetric plane partitions are derived, yielding lattice path and tableaux models that generalize the dual Littlewood identities.