Average values of some Z-parameters in a random set partition
classification
🧮 math.CO
keywords
numbersaveragepartitionsvaluesasymptoticcarlitzcircularcrossings
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We find exact and asymptotic formulas for the average values of several statistics on set partitions: of Carlitz's $q$-Stirling distributions, of the numbers of crossings in linear and circular representations of set partitions, of the numbers of overlappings and embracings, and of the numbers of occurrences of a 2-pattern.
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