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math.CO2000★ 1 cited
Higher Nimbers in pawn endgames on large chessboards
Noam D. Elkies
We answer a question posed in [Elkies 1996] (math.CO/9905198) by constructing a class of pawn endgames on m-by-n boards that show the Nimbers *k for large k. We do this by modifyin…
math.CO2000★ 179 cited
Local statistics for random domino tilings of the Aztec diamond
Henry Cohn, Noam Elkies, James Propp
We prove an asymptotic formula for the probability that, if one chooses a domino tiling of a large Aztec diamond at random according to the uniform distribution on such tilings, th…