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MACSI - Mathematics Application Consortium for Science & Industry

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MACSI - Mathematics Application Consortium for Science & Industry

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Recent Submissions

  • Hurd, Thomas R; Gleeson, James P.; Melnik, Sergey (Public Library of Science, 2017)
    We introduce a probabilistic framework that represents stylized banking networks with the aim of predicting the size of contagion events. Most previous work on random financial networks assumes independent connections ...
  • Faqeeh, Ali (University of Limerick, 2016)
    Many of the systems we observe in nature, in societies, or in infrastructures are in the form of a network of interacting units. This underlying network structure shapes the behavior of such systems and is an indispensable ...
  • Hurd, Thomas R; Cellai, Davide; Melnik, Sergey; Shao, Quentin, H (2016)
    The scope of financial systemic risk research encompasses a wide range of interbank channels and effects, including asset correlation shocks, default contagion, illiquidity contagion, and asset fire sales. This paper ...
  • Faqeeh, Ali; Melnik, Sergey; Colomer-deSimón, Pol; Gleeson, James P. (American Physical Society, 2016)
    It is commonly assumed in percolation theories that at most one percolating cluster can exist in a network. We show that several coexisting percolating clusters (CPCs) can emerge in networks due to limited mixing, i.e., a ...
  • Baxter, Gareth J; Cellai, Davide; Dorogovtsev, Sergey N; Mendes, José F.F (American Chemical Society, 2016)
    In multiplex networks, cycles cannot be characterized only by their length, as edges may occur in different layers in different combinations. We define a classification of cycles by the number of edges in each layer and ...
  • Baxter, Gareth J; Dorogovtsev, Sergey N; Mendes, José F.F; Cellai, Davide (Americann Physical Society, 2014)
    Bootstrap percolation is a simple but nontrivial model. It has applications in many areas of science and has been explored on random networks for several decades. In single-layer (simplex) networks, it has been recently ...
  • Cellai, Davide; Bianconi, Ginestra (American Physical Society, 2016)
    In multiplex networks with a large number of layers, the nodes can have different activities, indicating the total number of layers in which the nodes are present. Here we model multiplex networks with heterogeneous activity ...
  • Cellai, Davide; Dorogovtsev, Sergey N; Bianconi, Ginestra (Ameriican Physical Society, 2016)
    Multiplex networks describe a large variety of complex systems, including infrastructures, transportation networks, and biological systems. Most of these networks feature a significant link overlap. It is therefore of ...
  • Fennell, Peter G; Melnik, Sergey; Gleeson, James P. (American Physical Society, 2016)
    Continuous-time Markov process models of contagions are widely studied, not least because of their utility in predicting the evolution of real-world contagions and in formulating control measures. It is often the case, ...
  • Haynes, M; O'Brien, Stephen BG; Benilov, Eugene (AIP Publishing, 2016)
    This paper uses asymptotic techniques to find the shape of a two dimensional liquid bridge suspended between two vertical walls. We model the equilibrium bridge shape using the Laplace-Young equation. We use the Bond number ...
  • Ward, Jonathan A; Fowler, Andrew C (SpringerOpen, 2016)
    Purpose: The polishing of cut lead glass crystal is effected through the dowsing of the glass in a mixture of two separate acids, which between them etch the surface and as a result cause it to be become smooth. In order ...
  • Moroney, Kevin M; Lee, William T.; O'Brien, Stephen BG; Suijver, Freek; Marra, Johan (SpringerOpen, 2016)
    The extraction of coffee solubles from roasted and ground coffee is a complex operation, the understanding of which is key to the brewing of high quality coffee. This complexity stems from the fact that brewing of coffee ...
  • Livingstone, Stephen J; Utting, Daniel J; Ruffell, Alastair; Clark, Chris D; Pawley, Steven; Atkinson, Nigel; Fowler, Andrew C (Nature Publishing Group, 2016)
    Recent proxy measurements reveal that subglacial lakes beneath modern ice sheets periodically store and release large volumes of water, providing an important but poorly understood influence on contemporary ice dynamics ...
  • Hackett, A; Cellai, Davide; Gomez, S; Arenas, A; Gleeson, James P. (American Physical Society, 2016)
    We present an analytical approach for bond percolation on multiplex networks and use it to determine the expected size of the giant connected component and the value of the critical bond occupation probability in these ...
  • Fowler, Andrew C; Kopteva, Natalia; Oakley, Charles (Society for Industrial and Applied Mathematics, 2006)
    We consider a deterministic model of landscape evolution through the mechanism of overland flow over an erodible substrate, using the St. Venant equations of hydraulics together with the Exner equation for hillslope erosion. ...
  • Robinson, Marguerite; Fowler, Andrew C; Alexander, A.J; O'Brien, S.B.G (American Institute of Physics, 2008)
    We describe a simple model of a bubbly two-phase flow which is able to explain why waves propagate downward when a pint of Guinness is poured, and also how the waves are generated. Our theory involves a physically based ...
  • Zammett, R.J; Fowler, Andrew C (Society for Industrial and Applied Mathematics, 2010)
    Spiral-shaped canyons on the polar ice caps of Mars are striking morphological features whose explanation is still mysterious. We pose a model for the kinetics at the ice-atmosphere interface based on the positive feedback ...
  • Kyrke-Smith, T.M; Katz, R.F; Fowler, Andrew C (American Geophysical Union, 2015)
    Observations have long associated ice streams with the presence of meltwater at the bed. More recently, theoretical models have been able to reproduce ice stream behavior as a consequence of the coupled dynamics of ice and ...
  • Khaleque, Tania S; Fowler, Andrew C; Howell, P D; Vynnycky, M (American Institute of Physics, 2015)
    Motivated by convection of planetary mantles, we consider a mathematical model for Rayleigh-Benard convection in a basally heated layer of a fluid whose viscosity depends strongly on temperature and pressure, defined in ...
  • Lee, William T.; Fowler, Andrew C; Power, O; Healy, S; Browne, J (American Institute of Physics, 2010)
    Polycrystalline silicon fuses are one time programmable memory elements which allow the calibration of integrated circuits at wafer and package level. We present a zero-dimensional lumped parameter model of the programming ...

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