Parallel Rank of Two Sandpile Models of Signed Integer Partitions

Parallel Rank of Two Sandpile Models of Signed Integer Partitions

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 sequen...

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Main Authors: G. Chiaselotti, T. Gentile, G. Marino, P. A. Oliverio
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/292143
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spelling doaj-2c6673cc87594b70adb1f982ede528a62020-11-24T23:41:42ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/292143292143Parallel Rank of Two Sandpile Models of Signed Integer PartitionsG. Chiaselotti0T. Gentile1G. Marino2P. A. Oliverio3Dipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyDipartimento di Matematica, Universitá della Calabria, Via Pietro Bucci, 87036 Arcavacata di Rende, ItalyWe 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.http://dx.doi.org/10.1155/2013/292143
collection DOAJ
language English
format Article
sources DOAJ
author G. Chiaselotti
T. Gentile
G. Marino
P. A. Oliverio
spellingShingle G. Chiaselotti
T. Gentile
G. Marino
P. A. Oliverio
Parallel Rank of Two Sandpile Models of Signed Integer Partitions
Journal of Applied Mathematics
author_facet G. Chiaselotti
T. Gentile
G. Marino
P. A. Oliverio
author_sort G. Chiaselotti
title Parallel Rank of Two Sandpile Models of Signed Integer Partitions
title_short Parallel Rank of Two Sandpile Models of Signed Integer Partitions
title_full Parallel Rank of Two Sandpile Models of Signed Integer Partitions
title_fullStr Parallel Rank of Two Sandpile Models of Signed Integer Partitions
title_full_unstemmed Parallel Rank of Two Sandpile Models of Signed Integer Partitions
title_sort parallel rank of two sandpile models of signed integer partitions
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/292143
work_keys_str_mv AT gchiaselotti parallelrankoftwosandpilemodelsofsignedintegerpartitions
AT tgentile parallelrankoftwosandpilemodelsofsignedintegerpartitions
AT gmarino parallelrankoftwosandpilemodelsofsignedintegerpartitions
AT paoliverio parallelrankoftwosandpilemodelsofsignedintegerpartitions
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