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An Experimental Mathematics Approach to the Area Statistic of Parking Functions

2018/06/07 by Yao, Yukun, Zeilberger, Doron
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.02680

Abstract

We illustrate the experimental, empirical, approach to mathematics (that contrary to popular belief, is often rigorous), by using parking functions and their "area" statistic, as a case study. Our methods are purely finitistic and elementary, taking full advantage, of course, of our beloved silicon servants.

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