2 papers
math.CO2025
Knuth's big-chooser matchbox process: the case of many matchboxes
Mark Dukes, Andrew Mullins
Banach's matchbox problem considers the setting of two matchboxes that each initially contain the same number of matches. Boxes are chosen with equal probability and a match remove…
math.CO2023
A bump statistic on permutations resulting from the Robinson-Schensted correspondence
Mark Dukes, Andrew Mullins
In this paper we investigate a permutation statistic that was independently introduced by Romik in 2005. This statistic counts the number of bumps that occur during the execution o…