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• Journal article
  Jensen HJ, Viegas E, Cockburn SP, West GBet al., 2014,

  The dynamics of mergers and acquisitions: ancestry as the seminal determinant

  , Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol: 470, ISSN: 1471-2946
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• Journal article
  Razak FA, Jensen HJ, 2014,

  Quantifying 'causality' in complex systems: understanding transfer entropy

  , PLOS One, Vol: 9, ISSN: 1932-6203

  ‘Causal’ direction is of great importance when dealing with complex systems. Often big volumes of data in the form of time series are available and it is important to develop methods that can inform about possible causal connections between the different observables. Here we investigate the ability of the Transfer Entropy measure to identify causal relations embedded in emergent coherent correlations. We do this by firstly applying Transfer Entropy to an amended Ising model. In addition we use a simple Random Transition model to test the reliability of Transfer Entropy as a measure of ‘causal’ direction in the presence of stochastic fluctuations. In particular we systematically study the effect of the finite size of data sets.

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• Journal article
  Rubin KJ, Pruessner G, Pavliotis GA, 2014,

  Mapping multiplicative to additive noise

  , JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 47, ISSN: 1751-8113
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  • Citations: 12
• Journal article
  Evans TS, Rivers RJ, 2014,

  New approaches to Archaic Greek Settlement Structure

  , Les Nouvelles de l'archéologie, Vol: 135, Pages: 21-27, ISSN: 0242-7702

  Recent developments in network theory have led to the creation of new Spatial Interaction Models (SIMs) and a reappraisal of existing models. Although not directed at the archaeology community, these models generalise the familiar gravitational models and Proximal Point Analysis (PPA) used by archaeologists for many years to help explain the archaeological record. However, a problem arises in archaeology that, with the increasing suite of plausible models that now exist, it is unclear how to choose one model over another. This can lead to the criticism that, if we hunt hard enough, we may be doing no more than finding a model which can be manipulated to conform to our preconceptions. In recent articles we have begun to address this criticism (Evans 2014, in press) with particular reference to the maritime networks of the MBA Aegean (Rivers 2014, in press). Different historical periods require different approaches and in this paper we continue this analysis by re-examining the onset of centralisation in mainland Greek city states of the 9th and 8th centuries BCE. Pioneering work on this archaic settlement structure was performed in 1987 by Rihll and Wilson (Rihll & Wilson 1987, 2: 5-32; 1991: 59-95), adapting a 'retail' model devised originally for urban planning. One alternative approach is given by a recent cost-benefit model termed ariadne, developed by ourselves (Evans, Knappett & Rivers 2009, 7: 451-79; Knappett, Evans & Rivers 2008, 82: 1009-84; 2011, 85: 1008-23), initially designed for Bronze Age maritime networks. A comparison of these models and other simpler SIMs for archaic settlements highlights the problems of modelling archaeological data. In particular we examine what constitutes model 'robustness' and the way in which different models handle 'contingency' when handling periods of rapid change.

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• Journal article
  Rochester CC, Lee AA, Pruessner G, Kornyshev AAet al., 2013,

  Interionic Interactions in Conducting Nanoconfinement

  , CHEMPHYSCHEM, Vol: 14, Pages: 4121-4125, ISSN: 1439-4235
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  • Citations: 45
• Journal article
  Reiss DS, Price JJ, Evans TS, 2013,

  Sculplexity: Sculptures of Complexity using 3D printing

  , EPL, Vol: 104, ISSN: 0295-5075
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  • Citations: 5

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