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Browsing MACSI - Mathematics Application Consortium for Science & Industry by Title

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  • Hackett, Adam W.; Melnik, Sergey; Gleeson, James P. (American Physical Society, 2011)
    We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of random networks with arbitrary degree distribution and nonzero clustering introduced previously ...
  • Hackett, Adam W.; Gleeson, James P. (American Physical Society, 2013)
    We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly clustered random graphs introduced by Gleeson [J. P. Gleeson, Phys. Rev. E 80, 036107 ...
  • 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 ...
  • Gleeson, James P.; Ward, Jonathan A; O'Sullivan, Kevin P; Lee, William T. (American Physical Society, 2014)
    Heavy-tailed distributions of meme popularity occur naturally in a model of meme diffusion on social networks. Competition between multiple memes for the limited resource of user attention is identified as the mechanism ...
  • 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 ...
  • Khoury, Maria; Gleeson, James P.; Sancho, J. M.; Lacasta, A. M.; Lindenberg, Katja (American Physical Society, 2009)
    Transport and diffusion of particles on modulated surfaces is a nonequilibrium problem which is receiving a great deal of attention due to its technological applications, but analytical calculations are scarce. In earlier ...
  • 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 ...
  • Hurd, T.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 ...
  • Melnik, Sergey; Porter, Mason A; Mucha, Peter J; Gleeson, James P. (American Institute of Physics, 2014)
    We develop a new ensemble of modular random graphs in which degree-degree correlations can be different in each module, and the inter-module connections are defined by the joint degree-degree distribution of nodes for each ...
  • 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 ...
  • 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. ...
  • Kieran, Jennifer Ann; Norris, Suzanne; O'Leary, Aisling; Walsh, Cathal Dominic; Merriman, Raphael; Houlihan, D; McCormick, Aiden; McKiernan, Susan; Bergin, Colm; Barry, Michael (BioMed Central, 2015)
    Background: Recent advances in Hepatitis C therapeutics offer the possibility of cure but will be expensive. The cost of treatment may be partially offset by the avoidance of advanced liver disease. We performed a micro-costing ...
  • Gleeson, James P. (American Physical Society, 2011)
    Binary-state dynamics (such as the susceptible-infected-susceptible (SIS) model of disease spread, or Glauber spin dynamics) on random networks are accurately approximated using master equations. Standard mean-field and ...
  • 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, ...
  • Gleeson, James P. (American Physical Society, 2008)
    The mean size of unordered binary avalanches on infinite directed random networks may be determined using the damage propagation function introduced by [B. Samuelsson and J. E. S. Socolar, Phys. Rev. E 74, 036113 (2006)]. ...
  • 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 ...
  • 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 ...
  • Melnik, Sergey; Ward, Jonathan A; Gleeson, James P.; Porter, Mason A (American Institute of Physics, 2013)
    The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide ...
  • 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 ...
  • 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 ...

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