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2013 Parallel Rank of Two Sandpile Models of Signed Integer Partitions
G. Chiaselotti, T. Gentile, G. Marino, P. A. Oliverio
J. Appl. Math. 2013(SI11): 1-12 (2013). DOI: 10.1155/2013/292143

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 P ( n , r ) of all the signed integer partitions a r , , a 1 , b 1 , , b n r such that r a r a 1 0 b 1 b n r ( n r ) , where n r 0 , and when X is the sublattice P ( n , d , r ) of all the signed integer partitions of P ( n , r ) having exactly d nonzero parts.

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G. Chiaselotti. T. Gentile. G. Marino. P. A. Oliverio. "Parallel Rank of Two Sandpile Models of Signed Integer Partitions." J. Appl. Math. 2013 (SI11) 1 - 12, 2013. https://doi.org/10.1155/2013/292143

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1268.06001
MathSciNet: MR3045420
Digital Object Identifier: 10.1155/2013/292143

Rights: Copyright © 2013 Hindawi

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