149 citations · 841 across the 44 of their papers we have counts for
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math.AG2004★ 2 cited
Polynomial recurrences and cyclic resultants
Christopher J. Hillar, Lionel Levine
Let be an algebraically closed field of characteristic zero and let . The -th {\it cyclic resultant} of is \[r_m = \text{Res}(f,x^m-1).\] A generic monic pol…
math.CO2004★ 2 cited
Fractal Sequences and Restricted Nim
Lionel Levine
The Grundy number of an impartial game G is the size of the unique Nim heap equal to G. We introduce a new variant of Nim, Restricted Nim, which restricts the number of stones a pl…
math.CO2004★ 13 cited
The Rotor-Router Model
Lionel Levine
Building on earlier work of Diaconis and Fulton (1991) and Lawler, Bramson, and Griffeath (1992), Propp in 2001 defined a deterministic analogue of internal diffusion-limited aggre…