9 citations · 23 across the 9 of their papers we have counts for
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math.NT2015★ 8 cited
Periods of Iterated Rational Functions over a Finite Field
Charles Burnette, Eric Schmutz
Choose a random degree d poly f with coefficients in a finite field F. We estimate the ultimate period of f under compositional iteration. We also determine the joint distribution…
math.CO2015★ 3 cited
Representing Random Permutations as the Product of Two Involutions
Charles Burnette, Eric Schmutz
An involution is a permutation that is its own inverse. Given a permutation of let denote the number of ways to write as a product of two involut…