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Path count asymptotics and Stirling numbers

  • Petersen K
  • Varchenko A
Proceedings of the American Mathematical Society (2011) 140(6) 1909-1919
DOI: 10.1090/s0002-9939-2011-11052-9
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Abstract

We obtain formulas for the growth rate of the numbers of certain paths in a multi-dimensional analogue of the Eulerian graph. Corollaries are new identities relating Stirling numbers of the first and second kinds.

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Petersen, K., & Varchenko, A. (2011). Path count asymptotics and Stirling numbers. Proceedings of the American Mathematical Society, 140(6), 1909–1919. https://doi.org/10.1090/s0002-9939-2011-11052-9

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