Parallel Rank of Two Sandpile Models of Signed Integer Partitions

G. Chiaselotti, T. Gentile, G. Marino and P. A. Oliverio

Journal of Applied Mathematics, 2013, vol. 2013, 1-12

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:292143

DOI: 10.1155/2013/292143

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