1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CO2014
The generating function for total displacement
T. Kyle Petersen, Mathieu Guay-Paquet
In a 1977 paper, Diaconis and Graham studied what Knuth calls the total displacement of a permutation , which is the sum of the distances . In recent work of the first…
math.CO2012
Two-sided Eulerian numbers via balls in boxes
T. Kyle Petersen
The Eulerian numbers count permutations according to the number of descents. The two-sided Eulerian numbers count permutations according to number of descents and the number of des…
math.CO2008★ 1 cited
Promotion and cyclic sieving via webs
T. Kyle Petersen, Pavlo Pylyavskyy, Brendon Rhoades
We show that Schützenberger's promotion on two and three row rectangular Young tableaux can be realized as cyclic rotation of certain planar graphs introduced by Kuperberg. Moreove…