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Showing papers by "Steve Kirkland published in 2015"

Journal Article•DOI•
Sensitivity analysis of perfect state transfer in quantum spin networks

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Steve Kirkland1•
University of Manitoba1
01 May 2015-Linear Algebra and its Applications
TL;DR: In this article, the spectral decomposition of the adjacency matrix of a weighted graph G was used to obtain closed form expressions for d k p d t k at t 0 for any k ∈ N.

14 citations

Journal Article•DOI•
The Markov Chain Tree Theorem in commutative semirings and the State Reduction Algorithm in commutative semifields

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Buket Benek Gursoy1, Steve Kirkland2, Oliver Mason3, Sergeĭ Sergeev4•
Irish Centre for High-End Computing1, University of Manitoba2, Maynooth University3, University of Birmingham4
01 Mar 2015-Linear Algebra and its Applications
TL;DR: A new universal algorithm is proposed, whose prototype is the State Reduction Algorithm which computes the Markov chain tree vector of a stochastic matrix.

3 citations

alpha-KURAMOTO PARTITIONS FROM THE FRUSTRATED KURAMOTO MODEL GENERALISE EQUITABLE PARTITIONS

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Steve Kirkland, S Severini
01 Apr 2015
TL;DR: In this article, it was shown that every equitable partition is an α-Kuramoto partition, but that the converse does not hold for α-kuramoto bipartitions.
Abstract: The Kuramoto model describes the collective dynamics of a system of coupled oscillators. An α-Kuramoto partition is a graph partition induced by the Kuramoto model, when the oscillators include a phase frustration parameter. We prove that every equitable partition is an α-Kuramoto partition, but that the converse does necessarily not hold. We give an exact characterization of α-Kuramoto bipartitions.

1 citations