17 citations · 52 across the 12 of their papers we have counts for
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math.ST2011★ 10 cited
Inverse semigroup spectral analysis for partially ranked data
Martin E. Malandro
Motivated by the notion of symmetric group spectral analysis developed by Diaconis, we introduce the notion of spectral analysis on the rook monoid (also called the symmetric inver…
math.CO2011★ 6 cited
Integer compositions with part sizes not exceeding k
Martin E. Malandro
We study the compositions of an integer n whose part sizes do not exceed a fixed integer k. We use the methods of analytic combinatorics to obtain precise asymptotic formulas for t…
math.CO2011★ 1 cited
Algebraic and combinatorial aspects of sandpile monoids on directed graphs
Scott Chapman, Rebecca Garcia, Luis David García-Puente +2
The sandpile group of a graph is a well-studied object that combines ideas from algebraic graph theory, group theory, dynamical systems, and statistical physics. A graph's sandpile…