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Article
Cross, Rod and Grinfeld, Michael and Lamba, Harbir (2024) A rate-dependent probabilistic model of hysteresis. Mathematics, 12 (24). 3924. ISSN 2227-7390
Grinfeld, Michael and Pritchard, David (2024) Pendent steady rivulets and droplets : from lubrication to bifurcation. IMA Journal of Applied Mathematics, 89 (4). pp. 725-744. ISSN 1464-3634
Grinfeld, Michael and Mulheran, Paul A (2024) Vaccination, asymptomatics and public health information in COVID-19. Journal of Physics A: Mathematical and Theoretical, 57 (8). 085601. ISSN 0305-4470
Chen, Bingzhang and Grinfeld, Michael (2024) Decomposing diversity into measures of evenness, similarity, and richness. Ecology and Evolution, 14 (2). e10952. ISSN 2045-7758
Wade, Andrew and Grinfeld, Michael (2023) Energy-constrained random walk with boundary replenishment. Journal of Statistical Physics, 190 (10). 155. ISSN 0022-4715
Alshaikhi, Abdulwahed S. and Grinfeld, Michael and Wilson, Stephen K. (2022) Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure. European Journal of Applied Mathematics, 33 (5). pp. 894-918. ISSN 0956-7925
da Costa, Fernando P. and Grinfeld, Michael and Mottram, Nigel J. and Pinto, João T. and Xyxanadasy, Kedtysack (2021) Steady state solutions in a model of a cholesteric liquid crystal sample. Afrika Matematika, 32. pp. 645-672.
da Costa, F.P. and Drmota, M. and Grinfeld, M. (2020) Modelling silicosis : structure of equilibria. European Journal of Applied Mathematics, 31 (6). pp. 950-967. ISSN 0956-7925
Crooks, Elaine C. M. and Grinfeld, Michael (2020) Minimal travelling wave speed and explicit solutions in monostable reaction-diffusion equation. Electronic Journal of Qualitative Theory of Differential Equations, 2020. 79. ISSN 1417-3875
Grinfeld, Michael and Mulheran, Paul A. (2020) On linear growth in COVID-19 cases. Computational and Mathematical Biophysics, 8 (1). pp. 211-215. ISSN 2544-7297
Walton, Joshua and McKay, Geoffrey and Grinfeld, Michael and Mottram, Nigel J. (2020) Pressure-driven changes to spontaneous flow in active nematic liquid crystals. European Physical Journal E - Soft Matter, 43 (8). 51. ISSN 1292-8941
Allen, D. and Grinfeld, M. and Mulheran, P. A. (2019) Characterising submonolayer deposition via visibility graphs. Physica A: Statistical Mechanics and its Applications, 532. 121872. ISSN 0378-4371
Allen, D. and Grinfeld, M. and Sasportes, R. (2019) Point island dynamics under fixed rate deposition. Journal of Mathematical Analysis and Applications, 472 (2). pp. 1716-1728. ISSN 0022-247X
Crooks, Elaine C. M. and Grinfeld, Michael and McKay, Geoffrey (2018) Minimality conditions for wave speed in anisotropic smectic C* liquid crystals. Mathematical Methods in the Applied Sciences, 41 (1). pp. 88-102. ISSN 0170-4214
Krcelic, Hrvojka and Grinfeld, Michael and Mulheran, Paul A. (2018) Distributional fixed-point equations for island nucleation in one dimension : the inverse problem. Physical Review E, 98 (5). 052801. ISSN 2470-0053
Siam, F.M. and Grinfeld, M. and Bahar, A. and Rahman, H.A. and Ahmad, H. and Johar, F. (2018) A mechanistic model of high dose irradiation damage. Mathematics and Computers in Simulation, 151. pp. 156-168. ISSN 0378-4754
Blackman, J. A. and Grinfeld, M. and Mulheran, P. A. (2015) Asymptotics of capture zone distributions in a fragmentation-based model of submonolayer deposition. Physics Letters A, 379 (47-48). pp. 3146-3148. ISSN 0375-9601
Grinfeld, Michael and Volkov, Stanislav and Wade, Andrew R. (2015) Convergence in a multidimensional randomized Keynesian beauty contest. Advances in Applied Probability, 47 (1). pp. 57-82. ISSN 0001-8678
Grinfeld, Michael and Lamba, Harbir and Cross, Rodney (2013) A mesoscopic stock market model with hysteretic agents. Discrete and Continuous Dynamical Systems - Series B, 18 (2). 403–415. ISSN 1531-3492
Grinfeld, Michael and O'Neill, Kenneth Peter and Costin, Ovidiu and Park, H (2013) Long-time behaviour of point islands under fixed rate deposition. Communications in Information and Systems, 13 (2). pp. 183-200. ISSN 2163-4548
Mulheran, Paul and O'Neill, Kenneth Peter and Grinfeld, Michael and Lamb, Wilson (2012) Distributional fixed-point equations for island nucleation in one dimension : a retrospective approach for capture zone scaling. Physical Review E, 86 (5). 051606. ISSN 2470-0053
Da Costa, F.P. and Grinfeld, Michael and Langer, Matthias and Mottram, Nigel J. and Pinto, J.T. (2012) Kickback in nematic liquid crystals. Quarterly of Applied Mathematics, 70 (1). pp. 99-110. ISSN 0033-569X
O'Neill, Kenneth Peter and Grinfeld, Michael and Lamb, Wilson and Mulheran, Paul (2012) Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models. Physical Review E, 85 (2). 021601. ISSN 2470-0053
Grinfeld, M. and Lamb, W. and O'Neill, K. P. and Mulheran, P. A. (2012) Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach. Journal of Physics A: Mathematical and Theoretical, 45 (1). -. 015002. ISSN 1751-8113
Grinfeld, Michael and Knight, Philip and Wade, Andrew (2012) Rank-driven Markov processes. Journal of Statistical Physics, 146 (2). pp. 378-407. ISSN 0022-4715
Burns, Martin and Grinfeld, Michael (2012) Steady-state solutions of a mass-conserving bistable equation with a saturating flux. Journal of Engineering Mathematics, 77. pp. 163-180. ISSN 0022-0833
Grinfeld, Michael and Knight, Philip A. and Wade, Andrew R. (2011) Bak-Sneppen-type models and rank-driven processes. Physical Review E, 84 (4). 041124. ISSN 2470-0053
Burns, Martin and Grinfeld, Michael (2011) Steady state solutions of a bi-stable quasi-linear equation with saturating flux. European Journal of Applied Mathematics, 22 (4). pp. 317-331. ISSN 0956-7925
Bhowmik, S. K. and Duncan, D. B. and Grinfeld, M. and Lord, G. J. (2011) Finite to infinite steady state solutions, bifurcations of an integro-differential equation. Discrete and Continuous Dynamical Systems - Series B, 16 (1). pp. 57-71. ISSN 1531-3492
Davies, J. and Grinfeld, M. and Webb, S. D. (2011) Introduction to the special issue. Theory in Biosciences, 130 (1-3 sp). pp. 1-3. ISSN 1431-7613
Grinfeld, Michael and Langer, Matthias and Mottram, Nigel (2011) Nematic viscosity estimation using director kickback dynamics. Liquid Crystals, 38. pp. 981-987. ISSN 0267-8292
Grinfeld, Michael and Burns, Martin (2011) Well-posedness and stationary solutions. Communications in Applied Analysis, 15. pp. 251-264. ISSN 1083-2564
Da Costa, Fernando P. and Gartland Jr., Eugene C. and Grinfeld, Michael and Pinto, Joao T. (2009) Bifurcation analysis of the twist-Freedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions. European Journal of Applied Mathematics, 20 (3). pp. 269-287. ISSN 0956-7925
Grinfeld, M. and Webb, S.D. (2009) Structural instability in an autophosphorylating kinase switch. Mathematical Biosciences, 219 (2). pp. 92-96. ISSN 0025-5564
Da Costa, F.P. and Grinfeld, M. and Mottram, N.J. and Pinto, J.T., FCT Portugal (partly supported) (Funder) (2009) Uniqueness in the Freedericksz transition with weak anchoring. Journal of Differential Equations, 246 (7). pp. 2590-2600. ISSN 0022-0396
Cross, Rod and Grinfeld, Michael and Lamba, Harbir (2009) Hysteresis and economics - taking the economic past into account. IEEE Control Systems, 29 (1). pp. 30-43. ISSN 0272-1708
Grinfeld, M. and Lord, G.J. (2008) Bifurcations in the regularized Ericksen bar model. Journal of Elasticity, 90 (2). pp. 161-173. ISSN 0374-3535
Cross, R. and Grinfeld, M. and Lamba, H. and Seaman, T. (2007) Stylized facts from a threshold-based heterogeneous agent model. European Physical Journal B - Condensed Matter and Complex Systems, 57 (2). pp. 213-218. ISSN 1434-6028
Hutson, V. and Grinfeld, M. (2006) Non-local dispersal and bistability. European Journal of Applied Mathematics, 17. pp. 221-232. ISSN 0956-7925
Berkolaiko, Gregory and Grinfeld, Michael (2006) Multiplicity of periodic solutions in bistable equations. Proceedings A: Mathematical, Physical and Engineering Sciences, 462 (2067). pp. 1001-1019. ISSN 1471-2962
Grinfeld, M. and Novick-Cohen, A. (2006) Some remarks on stability for a phase-field model with memory. Discrete and Continuous Dynamical Systems - Series A, 15 (4). pp. 1089-1117. ISSN 1078-0947
Grinfeld, M. and Hines, G. and Hutson, V. and Mischaikov, K. and Vickers, G. T. (2005) Non-local dispersal. Differential Integral Equations, 18 (11). pp. 1299-1320. ISSN 0893-4983
Artstein, Z. and Grinfeld, M. (2002) Ergodicity and mixing via Young measures. Ergodic Theory and Dynamical Systems, 22 (4). pp. 1001-1015. ISSN 0143-3857
Duffy, B.R. and Grinfeld, M. and Freitas, P. (2002) Memory driven instability in a diffusion process. SIAM Journal on Mathematical Analysis, 33 (5). pp. 1090-1106. ISSN 0036-1410
Da Costa, F.P. and Wattis, J.A.D. and Grinfeld, M. (2002) A hierarchical cluster system based on Horton-Strahler rules for river networks. Studies in Applied Mathematics, 109 (3). pp. 163-204. ISSN 0022-2526
Da Costa, F.P. and Grinfeld, M. and Mcleod, J.B. (2001) Unimodality of steady state distributions of growing cell populations. Journal of Evolving Equations, 1 (4). pp. 405-409. ISSN 1424-3199
Book Section
Cross, R. and Grinfeld, M. and Lamba, H. and Pittock, A.; Mortell, M.P. and O'Malley, R.E. and Pokrovskii, A.K. and Sobolev, V., eds. (2005) Rationality, frustration minimisation, hysteresis and the El Farol problem. In: Singular Perturbations and Hysteresis. SIAM, Philadelphia, pp. 61-72. ISBN 978-0-898715-97-2
Conference or Workshop Item
McPike, Ruaraidh and Heath, Mike and Grinfeld, Michael and Wolfram, Marie-Therese (2018) On a mean field game formulation of fish stock exploitation. In: National Meeting of the Portuguese Mathematical Society, 2018-07-09 - 2018-07-11, Polytechnic Institute of Bragança.