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Preprints
, 2026, The Global Diffusion Limit for the Space Dependent Variable-Order Time-Fractional Diffusion Equation, http://dx.doi.org/10.48550/arxiv.2504.18787
, 2026, First-Passage Times for the Space-Fractional Spectral Fokker-Planck Equation, http://dx.doi.org/10.48550/arxiv.2511.18256
, 2025, A compounded random walk for space-fractional diffusion on finite domains, http://dx.doi.org/10.48550/arxiv.2410.10077
, 2024, Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations, http://dx.doi.org/10.48550/arxiv.2406.00897
, 2024, Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations, http://dx.doi.org/10.48550/arxiv.2406.08777
, 2024, A Stochastic Simulation Method for Fractional Order Compartment Models, http://dx.doi.org/10.48550/arxiv.2312.05268
, 2020, Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains, http://dx.doi.org/10.48550/arxiv.2002.06011
, 2017, Subdiffusive discrete time random walks via Monte Carlo and subordination, http://dx.doi.org/10.48550/arxiv.1711.06197
, 2017, A biofilm and organomineralisation model for the growth and limiting size of ooids, http://dx.doi.org/10.48550/arxiv.1708.04404
, 2017, Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains, https://www.researchgate.net/publication/317821825_Generalised_fractional_diffusion_equations_for_subdiffusion_on_arbitrarily_growing_domains
, 2016, Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme, http://dx.doi.org/10.48550/arxiv.1610.05417
, 2016, Fractional Euler Limits and Their Applications, http://dx.doi.org/10.48550/arxiv.1609.04772
, 2016, Discretization of Fractional Differential Equations by a Piecewise Constant Approximation, http://dx.doi.org/10.48550/arxiv.1605.01815
, 2015, A Fractional-Order Infectivity SIR Model, http://dx.doi.org/10.48550/arxiv.1511.02545
, 2015, A fractional order recovery SIR model from a stochastic process, http://dx.doi.org/10.48550/arxiv.1505.02492
, 2015, Anomalous dynamic behaviour of optically trapped high aspect ratio nanowires, http://dx.doi.org/10.48550/arxiv.1508.03072
, 2013, Pattern Formation on Networks with Reactions: A Continuous Time Random Walk Approach, http://dx.doi.org/10.48550/arxiv.1211.6494
, 2012, Turing patterns from dynamics of early HIV infection over a two-dimensional surface, http://dx.doi.org/10.48550/arxiv.1209.2772
, 2010, Lagging/Leading Coupled Continuous Time Random Walks, Renewal Times and their Joint Limits, http://dx.doi.org/10.48550/arxiv.1005.2369
, 2010, Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces, http://dx.doi.org/10.48550/arxiv.1004.4053
, 2010, Fractional Chemotaxis Diffusion Equations, http://dx.doi.org/10.48550/arxiv.1003.1548
, 2004, Statistical physics and stromatolite growth: new perspectives on an ancient dilemma, http://dx.doi.org/10.48550/arxiv.nlin/0412062
, 2004, A case for biotic morphogenesis of coniform stromatolites, http://dx.doi.org/10.48550/arxiv.nlin/0401026
, 2003, Random walks on finite lattice tubes, http://dx.doi.org/10.48550/arxiv.math-ph/0305023
, 2002, Exact solution for random walks on the triangular lattice with absorbing boundaries, http://dx.doi.org/10.48550/arxiv.math-ph/0204003
, 2001, Multifractal Measures in Iterative Maps, https://arxiv.org/abs/cond-mat/0101400v1
, 1998, Continuum model for radial interface growth, http://dx.doi.org/10.48550/arxiv.cond-mat/9806055
, 1998, Surface width scaling in noise reduced Eden clusters, http://dx.doi.org/10.48550/arxiv.cond-mat/9804238
, 1998, Mean field analysis of Williams-Bjerknes type growth, http://dx.doi.org/10.48550/arxiv.cond-mat/9803315