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Parallel Rank of Two Sandpile Models of Signed Integer Partitions

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Listed:
  • G. Chiaselotti
  • T. Gentile
  • G. Marino
  • P. A. Oliverio

Abstract

We introduce the concept of fundamental sequence for a finite graded poset X which is also a discrete dynamical model. The concept of fundamental sequence is a refinement of the concept of parallel convergence time for these models. We compute the parallel convergence time and the fundamental sequence when X is the finite lattice of all the signed integer partitions such that , where , and when X is the sublattice of all the signed integer partitions of having exactly d nonzero parts.

Suggested Citation

  • G. Chiaselotti & T. Gentile & G. Marino & P. A. Oliverio, 2013. "Parallel Rank of Two Sandpile Models of Signed Integer Partitions," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, April.
    • Handle: RePEc:hin:jnljam:292143
    DOI: 10.1155/2013/292143
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