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**68**.

## A

Agaba, Grace Omeche
(2016)
*Mathematical modelling of epidemics with account for population awareness.*
Doctoral thesis
(PhD), University of Sussex.

Agostiniani, Virginia, DeSimone, Antonio and Koumatos, Konstantinos
(2016)
*Shape programming for narrow ribbons of nematic elastomers.*
Journal of Elasticity, 127 (1).
pp. 1-24.
ISSN 0374-3535

Argaez, C and Melgaard, M
(2016)
*Minimizers for open-shell, spin-polarised Kohn–Sham equations for non-relativistic and quasi-relativistic molecular systems.*
Methods and Applications of Analysis, 23 (3).
pp. 269-292.
ISSN 1073-2772

Awonusika, Richard Olu
(2016)
*Harmonic analysis in non-Euclidean geometry: trace formulae and integral representations.*
Doctoral thesis
(PhD), University of Sussex.

## B

Baleanu, Dumitru, Diethelm, Kai, Scalas, Enrico and Trujillo, Juan J
(2016)
*Fractional calculus: models and numerical methods (2nd edition).*
Series on complexity, nonlinearity and chaos, 5
.
World Scientific, Singapore.
ISBN 9789813140035

Ball, J M and Koumatos, K
(2016)
*Quasiconvexity at the boundary and the nucleation of austenite.*
Archive for Rational Mechanics and Analysis, 219 (1).
pp. 89-157.
ISSN 0003-9527

Braides, Andrea, Garroni, Andrea and Palombaro, Mariapia
(2016)
*Interfacial energies of systems of chiral molecules.*
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 14 (3).
pp. 1037-1062.
ISSN 1540-3459

## C

Cangiani, Andrea, Georgoulis, Emmanuil H and Jensen, Max
(2016)
*Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes.*
Applied Numerical Mathematics, 104.
pp. 3-14.
ISSN 0168-9274

Chemin, Jean-Yves, McCormick, David S, Robinson, James C and Rodrigo, Jose L
(2016)
*Local existence for the non-resistive MHD equations in Besov spaces.*
Advances in Mathematics, 286.
pp. 1-31.
ISSN 0001-8708

Chung, Andy Heung Wing
(2016)
*Novel mathematical and computational approaches for modelling biological systems.*
Doctoral thesis
(PhD), University of Sussex.

Cunden, Fabio Deelan, Mezzadri, Francesco, Simm, Nick and Vivo, Pierpaolo
(2016)
*Correlators for the Wigner–Smith time-delay matrix
of chaotic cavities.*
Journal of Physics A: Mathematical and Theoretical, 49 (18).
ISSN 1751-8113

## D

Dahlqvist, Antoine
(2016)
*Free Energies and fluctuations for the unitary Brownian motion.*
Communications in Mathematical Physics, 348 (2).
pp. 395-444.
ISSN 0010-3616

Deckelnick, Klaus, Elliott, Charles M and Styles, Vanessa
(2016)
*Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient.*
Inverse Problems, 32 (4).
a045008.
ISSN 0266-5611

Deelan Cunden, Fabio, Mezzadri, Francesco, Simm, Nick and Vivo, Pierpaolo
(2016)
*Large-N expansion for the time-delay matrix of ballistic chaotic cavities.*
Journal of Mathematical Physics, 57 (11901).
pp. 1-16.
ISSN 0022-2488

Den Hollander, F and Jansen, S
(2016)
*Berman-Konsowa principle for reversible Markov jump processes.*
Markov Processes and Related Fields, 22 (3).
pp. 409-422.
ISSN 1024-2953

Duncan, A B, Kalliadasis, S, Pavliotis, G A and Pradas, M
(2016)
*Noise-induced transitions in rugged energy landscapes.*
Physical Review E, 94 (3).
032107.
ISSN 2470-0045

Duncan, A B, Lelièvre, T and Pavliotis, G A
(2016)
*Variance reduction Using nonreversible Langevin samplers.*
Journal of Statistical Physics, 163 (3).
pp. 457-491.
ISSN 0022-4715

Duncan, Andrew, Erban, Radek and Zygalakis, Konstantinos
(2016)
*Hybrid framework for the simulation of stochastic chemical kinetics.*
Journal of Computational Physics, 326.
pp. 398-419.
ISSN 0021-9991

Düring, Bertram and Miles, James
(2016)
*High-order ADI scheme for option pricing in stochastic volatility models.*
Journal of Computational and Applied Mathematics, 316.
pp. 109-121.
ISSN 0377-0427

## E

Elbirki, Asma
(2016)
*On parabolic equations with gradient terms.*
Doctoral thesis
(PhD), University of Sussex.

## F

Ferraro, A, Zografopulos, D C, Missori, M, Peccianti, M, Caputo, R and Beccherelli, R
(2016)
*Flexible terahertz wire grid polarizer with high extinction ratio and low loss.*
Optics Letters, 41 (9).
pp. 2009-2012.
ISSN 0146-9592

Fyodorov, Y V, Khoruzhenko, B A and Simm, N J
(2016)
*Fractional Brownian motion with Hurst index H=0 and the Gaussian Unitary Ensemble.*
Annals of Probability, 44 (4).
pp. 2980-3031.
ISSN 0091-1798

Fyodorov, Y V and Simm, N J
(2016)
*On the distribution of maximum value of the characteristic polynomial of GUE random matrices.*
Nonlinearity, 29.
pp. 2837-2855.
ISSN 0951-7715

## G

Garcke, Harald, Lam, Kei Fong, Sitka, Emanuel and Styles, Vanessa
(2016)
*A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport.*
Mathematical Models and Methods in Applied Sciences, 26 (06).
pp. 1095-1148.
ISSN 0218-2025

Georgiou, Nicos, Rassoul-Agha, Firas and Seppäläinen, Timo
(2016)
*Geodesics and the competition interface for the corner growth model.*
Probability Theory and Related Fields, 169 (1-2).
pp. 223-255.
ISSN 0178-8051

Georgiou, Nicos, Rassoul-Agha, Firas and Seppäläinen, Timo
(2016)
*Stationary cocycles and Busemann functions for the corner growth model.*
Probability Theory and Related Fields, 169 (1-2).
pp. 177-222.
ISSN 0178-8051

Georgiou, Nicos, Rassoul-Agha, Firas and Seppäläinen, Timo
(2016)
*Variational formulas and cocycle solutions for directed polymer and percolation models.*
Communications in Mathematical Physics, 346 (2).
pp. 741-779.
ISSN 0010-3616

Georgoulis, Emmanuil H, Lakkis, Omar, Makridakis, Charalambos G and Virtanen, Juha M
(2016)
*A posteriori error estimates for leap-frog and cosine methods for second order evolution problems.*
SIAM Journal on Numerical Analysis (SINUM), 54 (1).
pp. 120-136.
ISSN 0036-1429

## H

Haigh, John
(2016)
*Mathematics in everyday life.*
Springer International Publishing, Switzerland.
ISBN 9783319279374

Hinchcliffe, James and Strauss, Michael
(2016)
*Spectral enclosure and superconvergence for eigenvalues in gaps.*
Integral Equations and Operator Theory, 84 (1).
pp. 1-32.
ISSN 0378-620X

Hirschfeld, J W P and Pichanick, E V D
(2016)
*Bounds for arcs of arbitrary degree in finite desarguesian planes.*
Journal of Combinatorial Designs, 24 (4).
pp. 184-196.
ISSN 1063-8539

## J

Jansen, Sabine
(2016)
*Continuum percolation for Gibbsian point processes with attractive interactions.*
Electronic Journal of Probability, 21.
p. 47.
ISSN 1083-6489

## K

Koch, Gabriel S, Gallagher, Isabelle and Planchon, Fabrice
(2016)
*Blow-up of critical Besov norms at a potential Navier-Stokes singularity.*
Communications in Mathematical Physics, 343 (1).
pp. 39-82.
ISSN 0010-3616

Koumatos, Konstantinos and Muehlemann, Anton
(2016)
*Optimality of general lattice transformations with applications to the Bain strain in steel.*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2188).
ISSN 1364-5021

Koumatos, Konstantinos, Rindler, Filip and Wiedemann, Emil
(2016)
*Orientation-preserving Young measures.*
Quarterly Journal of Mathematics, 67 (3).
pp. 439-466.
ISSN 0033-5606

## L

Langer, Matthias and Strauss, Michael
(2016)
*Triple variational principles for self-adjoint operator functions.*
Journal of Functional Analysis, 270 (6).
pp. 2019-2047.
ISSN 0022-1236

## M

Madzvamuse, A and Chung, A H
(2016)
*Analysis and simulations of coupled bulk-surface reaction-diffusion systems on exponentially evolving volumes.*
Mathematical Modelling of Natural Phenomena, 11 (5).
pp. 4-32.
ISSN 0973-5348

Madzvamuse, Anotida and Chung, Andy H W
(2016)
*The bulk-surface finite element method for reaction-diffusion systems on stationary volumes.*
Finite Elements in Analysis and Design, 108.
pp. 9-21.
ISSN 0168-874X

Madzvamuse, Anotida and Lubkin, Sharon R
(2016)
*A note on how to develop interdisciplinary collaborations between experimentalists and theoreticians.*
Interface Focus, 6 (5).
p. 20160069.
ISSN 2042-8898

Madzvamuse, Anotida, Ndakwo, Hussaini S and Barreira, Raquel
(2016)
*Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion.*
Discrete and Continuous Dynamical Systems - Series A, 36 (4).
pp. 2133-2170.
ISSN 1078-0947

McCormick, David S, Olson, Eric J, Robinson, James C, Rodrigo, Jose L, Vidal-López, Alejandro and Zhou, Yi
(2016)
*Lower bounds on blowing-up solutions of the three-dimensional Navier–Stokes equations in H˙^{3/2}, H˙^{5/2}, and B˙^{5/2}_{2,1}.*
SIAM Journal on Mathematical Analysis (SIMA), 48 (3).
pp. 2119-2132.
ISSN 0036-1410

McMichen, James
(2016)
*Determination of areas and basins of attraction in planar dynamical systems using meshless collocation.*
Doctoral thesis
(PhD), University of Sussex.

Merino-Aceituno, Sara
(2016)
*Isotropic wave turbulence with simplified kernels: Existence, uniqueness, and mean-field limit for a class of instantaneous coagulation-fragmentation processes.*
Journal of Mathematical Physics, 57 (12).
p. 121501.
ISSN 0022-2488

Mohammed, Najla Abdullah
(2016)
*Grid refinement and verification estimates for the RBF construction method of Lyapunov functions.*
Doctoral thesis
(PhD), University of Sussex.

Montino, Alessandro, Soprano-Loto, Nahuel and Tsagkarogiannis, Dimitrios
(2016)
*Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures.*
Journal of Statistical Physics, 164 (6).
pp. 1318-1353.
ISSN 0022-4715

## N

Neofytou, G, Kyrychko, Y N and Blyuss, K B
(2016)
*Mathematical model of plant-virus interactions mediated by RNA interference.*
Journal of Theoretical Biology, 403.
pp. 129-142.
ISSN 0022-5193

Neofytou, G, Kyrychko, Y N and Blyuss, K B
(2016)
*Time-delayed model of immune response in plants.*
Journal of Theoretical Biology, 389.
pp. 28-39.
ISSN 0022-5193

## O

Overbury, Peter, Kiss, Istvan Z and Berthouze, Luc
(2016)
*A genetic algorithm-based approach to mapping the diversity of networks sharing a given degree distribution and global clustering.*
5th International Workshop on Complex Networks and their Applications, Milan, 30th November - 2nd December 2016.
Published in: Cherifi, Hocine, Gaito, Sabrina, Quattrociocchi, Walter and Sala, Alessandra, (eds.) Complex Networks & Their Applications V.
693 223-233.
Springer
ISBN 9783319509006

## P

Pichanick, E V D
(2016)
*Bounds for complete arcs in finite projective planes.*
Doctoral thesis
(PhD), University of Sussex.

Polito, Federico and Scalas, Enrico
(2016)
*A generalization of the space-fractional Poisson process and its connection to some Lévy processes.*
Electronic Communications in Probability, 21.
pp. 20-34.
ISSN 1083-589X

## R

Ritchie, Martin
(2016)
*Higher-order structure in networks: construction and its impact on dynamics.*
Doctoral thesis
(PhD), University of Sussex.

Ritchie, Martin, Berthouze, Luc and Kiss, Istvan Z
(2016)
*Beyond clustering: mean-field dynamics on networks
with arbitrary subgraph composition.*
Journal of Mathematical Biology, 72 (1).
pp. 255-281.
ISSN 0303-6812

Ritchie, Martin, Berthouze, Luc and Kiss, Istvan Z
(2016)
*Generation and analysis of networks with a prescribed degree sequence and subgraph family: higher-order structure matters.*
Journal of Complex Networks, 5 (1).
pp. 1-31.
ISSN 2051-1310

## S

Scalas, Enrico
(2016)
*Random exchange models and the distribution of wealth.*
European Physical Journal - Special Topics, 225.
pp. 3293-3298.
ISSN 1951-6355

Schwarz, B, Abdel-Wahab, M, Robinson, D R and Richardt, G
(2016)
*Predictors of mortality in patients with cardiogenic shock treated with primary percutaneous coronary intervention and intra-aortic balloon counterpulsation.*
Medizinische Klinik – Intensivmedizin und Notfallmedizin, 111 (8).
pp. 715-722.
ISSN 2193-6218

Sherborne, N, Blyuss, K B and Kiss, I Z
(2016)
*Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks.*
Journal of Theoretical Biology, 407.
pp. 387-400.
ISSN 0022-5193

Simon, Péter L and Kiss, Istvan Z
(2016)
*Super compact pairwise model for SIS epidemic on heterogeneous networks.*
Journal of Complex Networks, 4 (2).
pp. 187-200.
ISSN 2051-1310

Stiefenhofer, Pascal Christian
(2016)
*Stability analysis of non-smooth dynamical systems with an application to biomechanics.*
Doctoral thesis
(PhD), University of Sussex.

Szabó-Solticzky, András, Berthouze, Luc, Kiss, Istvan Z and Simon, Péter L
(2016)
*Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis.*
Journal of Mathematical Biology, 72 (5).
pp. 1153-1176.
ISSN 0303-6812

## U

Upadhyay, Ranjit Kumar, Roy, Parimita, Venkataraman, C and Madzvamuse, A
(2016)
*Wave of chaos in a spatial eco-epidemiological system: generating realistic patterns of patchiness in rabbit-lynx dynamics.*
Mathematical Biosciences, 281.
pp. 98-119.
ISSN 0025-5564

## W

Wang, Minmin
(2016)
*Height and diameter of Brownian tree.*
Electronic Communications in Probability, 20 (88).
pp. 1-15.
ISSN 1083-589X

Wang, Minmin
(2016)
*Scaling limits for a family of unrooted trees.*
Latin American Journal of Probability and Mathematical Statistics, 13 (2).
pp. 1039-1067.
ISSN 1980-0436

Wenzel, Ansgar
(2016)
*Theory of generalised biquandles and its applications to generalised knots.*
Doctoral thesis
(PhD), University of Sussex.

## Y

Yang, Feng Wei
(2016)
*Parallel, adaptive multigrid methods for parabolic PDEs and applications.*
In: Seminar at University of Warwick, 25 January 2016, Coventry, UK.

Yang, Feng Wei
(2016)
*A computational framework for particle and whole cell tracking applied to a real biological dataset.*
In: British Applied Mathematics Colloquium, 5 April 2016, University of Oxford.

Yang, Feng Wei
(2016)
*A study on the effects of different time intervals from observation in particle tracking for cell migration.*
In: Seminar at ibidi, Munich, Germany, 23 May 2016, Munich Germany.

Yang, Feng Wei, Venkataraman, Chandrasekhar, Styles, Vanessa, Kuttenberger, V, Horn, E, von Guttenberg, Z and Madzvamuse, Anotida
(2016)
*A computational framework for particle and whole cell tracking applied to a real biological dataset.*
Journal of Biomechanics, 49 (8).
pp. 1290-1304.
ISSN 0021-9290

## Z

Zhang, Linghua
(2016)
*Option volatility study from a data analysis perspective.*
Masters thesis
(MPhil), University of Sussex.