66 citations · 664 across the 84 of their papers we have counts for
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math.PR2013★ 11 cited
Markov chains for promotion operators
Arvind Ayyer, Steven Klee, Anne Schilling
We consider generalizations of Schuetzenberger's promotion operator on the set L of linear extensions of a finite poset. This gives rise to a strongly connected graph on L. In earl…
math.PR2013★ 11 cited
Directed nonabelian sandpile models on trees
Arvind Ayyer, Anne Schilling, Benjamin Steinberg +1
We define two general classes of nonabelian sandpile models on directed trees (or arborescences) as models of nonequilibrium statistical phenomena. These models have the property t…