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**68**.

## Article

Agapiou, Sergios, Burger, Martin, Dashti, Masoumeh and Helin, Tapio
(2018)
*Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems.*
Inverse Problems, 34 (4).
pp. 1-37.
ISSN 0266-5611

Al Basir, Fahad, Blyuss, Konstantin B and Ray, Santanu
(2018)
*Modelling the effects of awareness-based interventions to control the mosaic disease of Jatropha curcas.*
Ecological Complexity, 36.
pp. 92-100.
ISSN 1476-945X

Alicandro, Roberto, Dal Maso, Gianni, Lazzaroni, Giuliano and Palombaro, Mariapia
(2018)
*Derivation of a linearised elasticity model from singularly perturbed multiwell energy functionals.*
Archive for Rational Mechanics and Analysis, 230 (1).
pp. 1-45.
ISSN 0003-9527

Argaez, C and Melgaard, M
(2018)
*Ground state solutions to Hartree–Fock equations with magnetic fields.*
Applicable Analysis, 97 (14).
pp. 2377-2403.
ISSN 0003-6811

Ashton, Stephen, Scalas, Enrico, Georgiou, Nicos and Kiss, István Zoltán
(2018)
*The mathematics of human contact: developing a model for social interaction in school children.*
Acta Physica Polonica A, 133 (6).
pp. 1421-1432.
ISSN 0587-4246

Awonusika, Richard Olu and Taheri, Ali
(2018)
*A spectral identity on Jacobi polynomials and its analytic implications.*
Canadian Mathematical Bulletin, 61.
pp. 473-482.
ISSN 0008-4395

Barnard, Rosanna C, Kiss, Istvan Z, Berthouze, Luc and Miller, Joel C
(2018)
*Edge-based compartmental modelling of an SIR epidemic on a dual-layer static-dynamic multiplex network with tunable clustering.*
Bulletin of Mathematical Biology, 80 (10).
pp. 2698-2733.
ISSN 0092-8240

Bartholomew, Andrew, Fenn, Roger, Kamada, Naoko and Kamada, Seiichi
(2018)
*Doodles on surfaces.*
Journal of Knot Theory and Its Ramifications, 27 (12).
ISSN 0218-2165

Bartholomew, Andrew, Fenn, Roger, Kamada, Naoko and Kamada, Seiichi
(2018)
*On Gauss codes of virtual doodles.*
Journal of Knot Theory and its ramifications, 27 (11).
1843013 - 1-26.
ISSN 0218-2165

Betten, Anton, Hirschfeld, James W P and Karaoglu, Fatma
(2018)
*Classification of cubic surfaces with twenty-seven lines over the finite field of order thirteen.*
European Journal of Mathematics, 4 (1).
pp. 37-50.
ISSN 2199-675X

Burger, Martin, Düring, Bertram, Kreusser, Lisa Maria, Markowich, Peter A and Schönlieb, Carola-Bibiane
(2018)
*Pattern formation of a nonlocal, anisotropic interaction model.*
Mathematical Models and Methods in Applied Sciences, 28 (3).
pp. 409-451.
ISSN 0218-2025

Carrillo, José A, Düring, Bertram, Matthes, Daniel and McCormick, David S
(2018)
*A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes.*
Journal of Scientific Computing, 75 (3).
pp. 1463-1499.
ISSN 0885-7474

Chen, J M, Hawkes, A G, Scalas, E and Trinh, M
(2018)
*Performance of information criteria for selection of Hawkes process models of financial data.*
Quantitative Finance, 18 (2).
pp. 225-235.
ISSN 1469-7688

Collins, Benoît, Dahlqvist, Antoine and Kemp, Todd
(2018)
*The spectral edge of unitary Brownian motion.*
Probability Theory and Related Fields, 170 (1-2).
pp. 49-93.
ISSN 0178-8051

Cusseddu, D, Edelstein-Keshet, L, Mackenzie, J A, Portet, S and Madzvamuse, A
(2018)
*A coupled bulk-surface model for cell polarisation.*
Journal of Theoretical Biology, 481.
pp. 119-135.
ISSN 0022-5193

Day, Stuart and Taheri, Ali
(2018)
*Semigroup asymptotics, Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian.*
Rocky Mountain Journal of Mathematics, 48 (3).
pp. 791-817.
ISSN 0035-7596

Deckelnick, Klaus and Styles, Vanessa
(2018)
*Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface.*
Numerische Mathematik, 139 (3).
pp. 709-741.
ISSN 0029-599X

Degond, Pierre, Frouvelle, Amic, Merino-Aceituno, Sara and Trescases, Ariane
(2018)
*Quaternions in collective dynamics.*
Multiscale Modeling & Simulation, 16 (1).
pp. 28-77.
ISSN 1540-3459

D¨uring, Bertram, Pareschi, Lorenzo and Toscani, Giuseppe
(2018)
*Kinetic models for optimal control of wealth inequalities.*
European Physical Journal B: Condensed Matter and Complex Systems, 91 (10).
265 1-12.
ISSN 1434-6028

Eom, Cheoljun, Kaizoji, Taisei, Park, Jong Won and Scalas, Enrico
(2018)
*Realized FX volatility: statistical properties and applications.*
Future Research Korean Journal of Futures and Options, 26 (1).
pp. 1-25.
ISSN 1229-988x

Fatehi Chenar, F, Kyrychko, Y N and Blyuss, K B
(2018)
*Mathematical model of immune response to hepatitis B.*
Journal of Theoretical Biology, 447.
pp. 98-110.
ISSN 0022-5193

Fatehi Chenar, Farzad, Kyrychko, Sergey, Ross, Aleksandra, Kyrychko, Yuliya and Blyuss, Konstantin
(2018)
*Stochastic effects in autoimmune dynamics.*
Frontiers in Physiology, 9.
p. 45.
ISSN 1664-042X

Fatehi Chenar, Farzad, Kyrychko, Yuliya and Blyuss, Konstantin
(2018)
*Effects of Viral and cytokine delays on dynamics of autoimmunity.*
Mathematics, 6.
p. 66.
ISSN 2227-7390

Frittelli, Massimo, Madzvamuse, Anotida, Sgura, Ivonne and Venkataraman, Chandrasekhar
(2018)
*Numerical preservation of velocity induced invariant regions
for reaction-diffusion systems on evolving surfaces.*
Journal of Scientific Computing, 77 (2).
pp. 971-1000.
ISSN 0885-7474

Garcke, Harald, Lam, Kei Fong and Styles, Vanessa
(2018)
*Cahn--Hilliard inpainting with the double obstacle potential.*
SIAM Journal on Imaging Sciences, 11 (3).
pp. 2064-2089.
ISSN 1936-4954

Georgiou, Nicos, Khoshnevisan, Davar, Kim, Kunwoo and Ramos, Alex
(2018)
*The dimension of the range of a transient random walk.*
Electronic Journal of Probability, 23 (83).
pp. 1-31.
ISSN 1083-6489

Georgiou, Nicos and Ortmann, Janosch
(2018)
*Optimality regions and fluctuations for Bernoulli last passage models.*
Mathematical Physics, Analysis and Geometry, 21 (22).
pp. 1-29.
ISSN 1385-0172

Giesl, Peter and Wendland, Holger
(2018)
*Kernel-based discretisation for solving matrix-valued PDEs.*
SIAM Journal on Numerical Analysis, 56 (6).
pp. 3386-3406.
ISSN 0036-1429

Hafstein, Sigurdur, Gudmundsson, Skuli, Giesl, Peter and Scalas, Enrico
(2018)
*Lyapunov function computation for autonomous linear stochastic differential equations using sum-of-squares programming.*
Discrete and Continuous Dynamical Systems - Series B, 23 (2).
pp. 939-956.
ISSN 1531-3492

Kyrychko, Y N and Schwartz, I B
(2018)
*Enhancing noise-induced switching times in systems with distributed delays.*
Chaos, 28 (6).
ISSN 1054-1500

Lambert, Gaultier, Ostrovsky, Dmitry and Simm, Nick
(2018)
*Subcritical multiplicative chaos for regularized counting statistics from random matrix theory.*
Communications in Mathematical Physics, 360 (1).
pp. 1-54.
ISSN 0010-3616

Lorenzi, Tommaso, Venkataraman, Chandrasekhar, Lorz, Alexander and Chaplain, Mark
(2018)
*The role of spatial variations of abiotic factors in
mediating intratumour phenotypic heterogeneity.*
Journal of Theoretical Biology, 451.
pp. 101-110.
ISSN 0022-5193

Madzvamuse, Anotida and Barreira, Raquel
(2018)
*Domain-growth-induced patterning for reaction-diffusion systems with linear cross-diffusion.*
Discrete and Continuous Dynamical Systems - Series B, 23 (7).
pp. 2775-2801.
ISSN 1531-3492

Makridakis, Charalambos G
(2018)
*On the Babuška-Osborn approach to finite element analysis: L2 estimates for unstructured meshes.*
Numerische Mathematik, 139 (4).
pp. 831-844.
ISSN 0029-599X

Morris, Charles and Taheri, Ali
(2018)
*Annular rearrangements, incompressible axi-symmetric whirls and L1-local minimisers of the distortion energy.*
Nonlinear Differential Equations and Applications, 25 (2).
pp. 1-35.
ISSN 1021-9722

Morris, Charles and Taheri, Ali
(2018)
*On Weyl’s asymptotics and remainder term for the orthogonal and unitary groups.*
Journal of Fourier Analysis and Applications, 24 (1).
pp. 184-209.
ISSN 1069-5869

Morris, Charles and Taheri, Ali
(2018)
*Whirl mappings on generalised annuli and the incompressible symmetric equilibria of the dirichlet energy.*
Journal of Elasticity, 133 (2).
pp. 201-222.
ISSN 0374-3535

Morrison, George and Taheri, Ali
(2018)
*An infinite scale of incompressible twisting solutions to the nonlinear elliptic system L [u; A, B] = ∇P and the discriminant ∆(h, g).*
Nonlinear Analysis Theory Methods & Applications, 173.
pp. 209-219.
ISSN 0362-546X

Murphy, Laura, Venkataraman, Chandrasekhar and Madzvamuse, Anotida
(2018)
*Parameter identification through mode isolation for reaction-diffusion systems on arbitrary geometries.*
International Journal of Biomathematics, 11 (4).
p. 1850053.
ISSN 1793-5245

Rost, G, Vizi, Z and Kiss, I Z
(2018)
*Pairwise approximation for SIR-type network epidemics with non-Markovian recovery.*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 474 (2210).
a20170695 1-21.
ISSN 1364-5021

Sarfaraz, Wakil and Madzvamuse, Anotida
(2018)
*Domain-dependent stability analysis of a reaction-diffusion model on compact circular geometries.*
International Journal of Bifurcation and Chaos, 28 (8).
p. 1830024.
ISSN 0218-1274

Sherborne, Neil, Blyuss, Konstantin and Kiss, Istvan
(2018)
*Bursting endemic bubbles in an adaptive network.*
Physical Review E (PRE), 97 (4).
042306.
ISSN 2470-0045

Sherborne, Neil, Miller, Joel C, Blyuss, Konstantin B and Kiss, Istvan Z
(2018)
*Mean-field models for non-Markovian epidemics on networks.*
Journal of Mathematical Biology, 76 (3).
pp. 755-778.
ISSN 0303-6812

Simon, Péter L and Kiss, Istvan Z
(2018)
*On bounding exact models of epidemic spread on networks.*
Discrete and Continuous Dynamical Systems - Series B, 23 (5).
pp. 2005-2020.
ISSN 1531-3492

Taheri, Ali and Morrison, George
(2018)
*On a class of stationary loops on SO(n) and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint.*
Boundary Value Problems, 2018 (130).
pp. 1-24.
ISSN 1687-2762

Trott, L, Hafezparast, M and Madzvamuse, A
(2018)
*A mathematical understanding of how cytoplasmic dynein walks on microtubules.*
Royal Society Open Science, 5 (8).
p. 171568.
ISSN 2054-5703

Venkataraman, C and Hutridurga, H
(2018)
*Heterogeneity and strong competition in ecology.*
European Journal of Applied Mathematics.
ISSN 0956-7925

Vysotsky, Vladislav and Zaporozhets, Dmitry
(2018)
*Convex hulls of multidimensional random walks.*
Transactions of the American Mathematical Society, 370.
pp. 7984-8012.
ISSN 0002-9947

## Book Section

Jensen, Max
(2018)
*Numerical solution of the simple Monge–Ampère equation with nonconvex dirichlet data on non-convex domains.*
In:
Dante, Kalise, Kunisch, Karl and Zhiping, Rao (eds.)
Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control.
Radon Series on Computational and Applied Mathematics
.
De Gruyter, Berlin,, pp. 129-142.
ISBN 9783110543599

Jensen, Max and Smears, Iain
(2018)
*On the notion of boundary conditions in comparison principles for viscosity solutions.*
In:
Kalise, Dante, Kunisch, Karl and Rao, Zhiping (eds.)
Hamilton-Jacobi-Bellman Equations: Numerical Methods and Applications in Optimal Control.
Radon Series on Computational and Applied Mathematics
.
De Gruyter, Berlin, pp. 143-154.
ISBN 9783110543599

## Conference Proceedings

Düring, Bertram and Pitkin, Alexander
(2018)
*Efficient hedging in Bates model using high-order compact finite differences.*
The 5th AMMCS International Conference, Waterloo, Ontario, Canada, August 18-23, 2019.
Published in: Makarov, Roman, (ed.) Recent Advances in Mathematical and Statistical Methods for Scientific and Engineering Applications.
259 489-498.
Springer Verlag
ISSN 2194-1009

Kiss, István Z, Miller, Joel C and Simon, Péter L
(2018)
*Fast variables determine the epidemic threshold in the pairwise model with an improved closure.*
Complex Networks 2018: The 7th International Conference on Complex Networks and Their Applications, Cambridge, United Kingdom, December 11-13, 2018.
Published in: Proceedings of Complex Networks 2018 (The Seventh International Conference on Complex Networks and their Applications.
365-675.
Springer Verlag
ISBN 9783030054106

Messager, Antoine, Parisis, George, Harper, Robert, Tee, Philip, Kiss, István Z and Berthouze, Luc
(2018)
*Network Events in a Large Commercial Network: What can we learn?*
NOMS 2018 - 2018 IEEE/IFIP Network Operations and Management Symposium, Taipei, Taiwan, 23-27 April 2018.
Published in: NOMS 2018 - IEEE/IFIP AnNet.
1-6.
Institute of Electrical and Electronics Engineers

Overbury, Peter, Kiss, István Z and Berthouze, Luc
(2018)
*Mapping structural diversity in networks sharing a given degree distribution and global clustering: Adaptive resolution grid search evolution with Diophantine equation-based mutations.*
Complex Networks 2018: The 7th International Conference on Complex Networks and Their Applications, Cambridge, United Kingdom, December 11-13, 2018.
Published in: Cherifi, C B, Cherifi, H, Karsai, M and Musolesi, M, (eds.) Complex Networks & Their Applications VII - Proceedings The 7th International Conference on Complex Networks and Their Applications COMPLEX NETWORKS 2018.
812 718-730.
Springer
ISSN 1860-949X
ISBN 9783030054106

## Thesis

Alabdullah, Salam Abdulqader Falih
(2018)
*Classification of arcs in finite geometry and applications to operational research.*
Doctoral thesis
(DPhil), University of Sussex.

Aldossary, Fahad
(2018)
*Valuation of callable convertible bonds using binomial trees model with default risk, convertible hedging and arbitrage, duration and convexity.*
Doctoral thesis
(PhD), University of Sussex.

Alhazmi, Muflih
(2018)
*Exploring mechanisms for pattern formation through
coupled bulk-surface PDEs.*
Doctoral thesis
(PhD), University of Sussex.

Alsolami, Majdi
(2018)
*Mathematical modelling of mid-term options price of Ijārah Sukūk.*
Doctoral thesis
(PhD), University of Sussex.

Birmpa, Panagiota
(2018)
*Quantification of mesoscopic and macroscopic fluctuations in interacting particle systems.*
Doctoral thesis
(PhD), University of Sussex.

Fanzon, Silvio
(2018)
*Geometric patterns and microstructures in the study of material defects and composites.*
Doctoral thesis
(PhD), University of Sussex.

Hamed, Zainab Shehab
(2018)
*Arcs of degree four in a finite projective plane.*
Doctoral thesis
(PhD), University of Sussex.

Karaoglu, Fatma
(2018)
*The cubic surfaces with twenty-seven lines over finite fields.*
Doctoral thesis
(PhD), University of Sussex.

Morrison, George
(2018)
*Rotationally-symmetric solutions to a nonlinear elliptic system under an incompressibility constraint and related problems.*
Doctoral thesis
(PhD), University of Sussex.

Okonna, Ime Udo
(2018)
*Time-delayed models of infectious diseases dynamics.*
Doctoral thesis
(PhD), University of Sussex.

Sarfaraz, Wakil
(2018)
*The geometric influence of domain-size on the dynamics of reaction-diffusion systems with applications in pattern formation.*
Doctoral thesis
(PhD), University of Sussex.

Sherborne, Neil
(2018)
*Non-Markovian epidemic dynamics on networks.*
Doctoral thesis
(PhD), University of Sussex.

Townsend, Philip James Andrew
(2018)
*Numerical simulation of the shallow water equations coupled with a precipitation system driven by random forcing.*
Doctoral thesis
(PhD), University of Sussex.

Trinh, Mailan
(2018)
*Non-stationary processes and their application to financial high-frequency data.*
Doctoral thesis
(PhD), University of Sussex.