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Lionel Levine

3 papers here

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • last author1

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.CO2
  • math.AG1
ORCID 0000-0003-0105-6754

identity via Semantic Scholar / OpenAlex

most citedThe Rotor-Router Model

13 citations · 17 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2004★ 2 cited

Polynomial recurrences and cyclic resultants

Christopher J. Hillar, Lionel Levine

Let K be an algebraically closed field of characteristic zero and let f∈K[x]. The m-th {\it cyclic resultant} of f 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…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.