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**52**.

## A

Agapiou, Sergios, Dashti, Masoumeh and Helin, Tapio
(2020)
*Rates of contraction of posterior distributions based on $p$-exponential priors.*
Bernoulli - Journal of the Bernoulli Society (Bernoulli).
ISSN 1350-7265
(Accepted)

Al-ogaidi, Awss
(2020)
*The Desarguesian projective plane of order eleven and related codes.*
Doctoral thesis
(PhD), University of Sussex.

Alsmeyer, Gerold, Kabluchko, Zakhar, Marynych, Alexander V and Vysotsky, Vladislav
(2020)
*How long is the convex minorant of a one-dimensional random walk?*
Electronic Journal of Probability, 25 (a105).
pp. 1-22.
ISSN 1083-6489

Argaez, Carlos, Giesl, Peter, Hafstein, Sigurdur and Langhorne, Zachary
(2020)
*Computing complete Lyapunov functions for discrete-time dynamical systems.*
Discrete and Continuous Dynamical Systems Series B.
ISSN 1531-3492
(Accepted)

Ashworth, Blake
(2020)
*Structure-preserving variational schemes for fourth order nonlinear partial diﬀerential equations with a Wasserstein
gradient ﬂow structure.*
Doctoral thesis
(PhD), University of Sussex.

Au, Benson, Cébron, Guillaume, Dahlqvist, Antoine, Gabriel, Franck and Male, Camille
(2020)
*Freeness over the diagonal for large random matrices.*
Annals of Probability.
ISSN 0091-1798

## B

Barrett, John W, Deckelnick, Klaus and Styles, Vanessa
(2020)
*A practical phase field method for an elliptic surface PDE.*
IMA Journal of Numerical Analysis.
ISSN 0272-4979

Blyuss, Konstantin B, Al Basir, Fahad, Tsygankova, Victoria A, Biliavska, Liudmyla O, Iutynska, Galyna O, Kyrychko, Serhii N, Dziuba, Serhii V, Tsyliuryk, Olexandr I and Izhboldin, Olexandr O
(2020)
*Control of mosaic disease using microbial biostimulants: insights from mathematical modelling.*
Ricerche di Matematica.
pp. 1-19.
ISSN 0035-5038

Bond, Stuart
(2020)
*Topics in geometric analysis: analysis on symmetric spaces, generalised spectral zetas, and the hypergeometric function.*
Doctoral thesis
(PhD), University of Sussex.

## C

Caffarelli, L, Cagnetti, F and Figalli, A
(2020)
*Optimal regularity and structure of the free boundary for minimizers in cohesive zone models.*
Archive for Rational Mechanics and Analysis.
pp. 1-47.
ISSN 0003-9527

Cagnetti, F, Perugini, M and Stöger, D
(2020)
*Rigidity for perimeter inequality under spherical symmetrisation.*
Calculus of Variations and Partial Differential Equations, 59.
a139 1-53.
ISSN 0944-2669

Calmet, Xavier, Casadio, Roberto and Kuipers, Folkert
(2020)
*Singularities in quantum corrected space-times.*
Physics Letters B, 807.
a135605 1-7.
ISSN 0370-2693

Campos Cordero, Judith and Koumatos, Konstantinos
(2020)
*Necessary and sufficient conditions for the strong local minimality of C^1 extremals on a class of non-smooth domains.*
ESAIM: Control, Optimisation and Calculus of Variations, 26.
a49.
ISSN 1292-8119

Cheng, B and Melgaard, M
(2020)
*Poisson wave trace formula for Dirac resonances at spectrum edges and applications.*
Asian Journal of Mathematics.
ISSN 1093-6106
(Accepted)

Cheng, Bobby Ho Yene
(2020)
*Trace formulas for Dirac operators with applications to resonances.*
Doctoral thesis
(PhD), University of Sussex.

Chlebik, Miroslav and Chlebikova, Janka
(2020)
*Weighted amplifiers and inapproximability results for Travelling Salesman problem.*
Journal of Combinatorial Optimization.
pp. 1-25.
ISSN 1382-6905

## D

Dahlqvist, Antoine and Norris, James R
(2020)
*Yang--Mills measure and the master field on the sphere.*
Communication in Mathematical Physics, 377.
pp. 1163-1226.
ISSN 1432-0916

Day, Stuart and Taheri, Ali
(2020)
*Stability and local minimality of spherical harmonic twists u = Q(|x|)x|x| −1 , positivity of second variations and conjugate points on SO(n).*
The Journal of Analysis, 28 (2).
pp. 431-460.
ISSN 0971-3611

Deaño, Alfredo and Simm, Nick
(2020)
*Characteristic polynomials of complex random matrices and Painlevé transcendents.*
International Mathematics Research Notices.
ISSN 1073-7928

Di Lauro, F, Croix, J -C, Berthouze, L and Kiss, I Z
(2020)
*PDE-limits of stochastic SIS epidemics on networks.*
Scientific Reports.
ISSN 2045-2322
(Accepted)

Düring, Bertram, Georgiou, Nicos, Merino-Aceituno, Sara and Scalas, Enrico
(2020)
*Continuum and thermodynamic limits for a wealth-distribution model.*
In:
Aoyama, Hideaki, Aruka, Yuji and Yoshikawa, Hiroshi (eds.)
Complexity, heterogeneity, and the methods of statistical physics in economics: essays in memory of Masanao Aoki.
Evolutionary Economics and Social Complexity Science, 22
.
Springer, pp. 79-99.
ISBN 9789811548055

## F

Fatehi, Farzad, Kyrychko, Yuliya N and Blyuss, Konstantin B
(2020)
*Stochastic dynamics in a time-delayed model for autoimmunity.*
Mathematical Biosciences, 322.
a108323.
ISSN 0025-5564

Fatehi, Farzad, Kyrychko, Yuliya N and Blyuss, Konstantin B
(2020)
*A new approach to simulating stochastic delayed systems.*
Mathematical Biosciences, 322.
a108327.
ISSN 0025-5564

FitzGerald, Will, Tribe, Roger and Zaboronski, Oleg
(2020)
*Sharp asymptotics for Fredholm Pfaffians related to interacting particle systems and random matrices.*
Electronic Journal of Probability, 25.
a116 1-15.
ISSN 1083-6489

FitzGerald, Will and Warren, Jon
(2020)
*Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions.*
Probability Theory and Related Fields.
ISSN 0178-8051

## G

Georgiou, Nicos, Kiss, Istvan Z and Simon, P L
(2020)
*Theoretical and numerical considerations of the assumptions behind triple closures in epidemic models on networks.*
In:
Mondaini, Rubem P (ed.)
Trends in biomathematics: modeling cells, flows, epidemics, and the environment.
Springer, Switzerland AG, pp. 209-234.
ISBN 9783030463052

Giesl, Peter
(2020)
*On a matrix-valued PDE characterizing a contraction metric for a periodic orbit.*
Discrete and Continuous Dynamical Systems - Series B (DCDS-B).
ISSN 1531-3492
(Accepted)

Giesl, Peter, Hamzi, Boumediene, Rasmussen, Martin and Webster, Kevin
(2020)
*Approximation of Lyapunov functions from noisy data.*
Journal of Computational Dynamics, 7 (1).
pp. 57-81.
ISSN 2158-2491

Giesl, Peter, Osborne, Conor and Hafstein, Sigurdur
(2020)
*Automatic determination of connected sublevel sets of CPA Lyapunov functions.*
SIAM Journal on Applied Dynamical Systems (SIADS), 19 (2).
pp. 1029-1056.
ISSN 1536-0040

Gómez-Liévano, Andrés, Vysotsky, Vladislav and Lobo, José
(2020)
*Artificial increasing returns to scale and the problem of sampling from lognormals.*
Environment and Planning B: Urban Analytics and City Science.
ISSN 2399-8083

## J

Jensen, Max, Målqvist, Axel and Persson, Anna
(2020)
*Finite element convergence for the time-dependent Joule heating problem with mixed boundary conditions.*
IMA Journal of Numerical Analysis.
ISSN 0272-4979

## K

Kabluchko, Zakhar, Prochno, Joscha and Vysotsky, Vladislav
(2020)
*Yet another note on the arithmetic-geometric mean inequality.*
Studia Mathematica, 253.
pp. 39-55.
ISSN 0039-3223

Kavallaris, Nikos I, Bareira, Raquel and Madzvamuse, Anotida
(2020)
*Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain.*
Journal of Nonlinear Science.
ISSN 0938-8974
(Accepted)

Koumatos, Konstantinos and Spirito, Stefano
(2020)
*Corrigendum: quasiconvex elastodynamics: weak‐strong uniqueness for measure‐valued solutions.*
Communications on Pure and Applied Mathematics.
ISSN 0010-3640

## L

Lakkis, Omar and Mousavi, Amireh
(2020)
*A least-squares Galerkin gradient recovery method for fully nonlinear elliptic equations.*
European Numerical Mathematics and Advanced Applications Conference 2019, The Netherlands, 30th Sept - 4th Oct 2019.
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019.
139
Springer
ISSN 1439-7358
ISBN 9783030558734
(Accepted)

Li, Hao
(2020)
*Chinese financial market: stock valuation from a data analysis perspective and option valuation using truncated binomial trees.*
Doctoral thesis
(PhD), University of Sussex.

Lifshits, Mikhail and Vysotsky, Vladislav
(2020)
*On the completion of Skorokhod space.*
Electronic Communications in Probability, 25 (a66).
pp. 1-10.
ISSN 1083-589X

## M

Madzvamuse, Anotida and Kipchumba Kiplangat, Benard
(2020)
*Integrating actin and myosin II in a viscous model for cell migration.*
Frontiers in Applied Mathematics and Statistics, 6 (a26).
pp. 1-17.
ISSN 2297-4687

Mijatović, Aleksandar and Vysotsky, Vladislav
(2020)
*Stability of overshoots of zero mean random walks.*
Electronic Journal of Probability, 25 (a63).
pp. 1-22.
ISSN 1083-6489

Morrison, George and Taheri, Ali
(2020)
*On the existence and multiplicity of topologically twisting incompressible $H$-harmonic maps and a structural H-condition.*
Differential Equations and Applications, 12 (1).
pp. 47-67.
ISSN 1847-120X

Morrison, George and Taheri, Ali
(2020)
*The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system Σ[(u, P), Ω].*
Advances in Operator Theory.
ISSN 2662-2009
(Accepted)

Murphy, Laura and Madzvamuse, Anotida
(2020)
*A moving grid finite element method applied to a mechanobiochemical model for 3D cell migration.*
Applied Numerical Mathematics, 158.
pp. 336-359.
ISSN 0168-9274

## N

Nicholson, Lindsay B, Blyuss, Konstantin B and Fatehi, Farzad
(2020)
*Quantifying the role of stochasticity in the development of autoimmune disease.*
Cells, 9.
a860 1-23.
ISSN 2073-4409

## P

Pichl, L, Eom, C, Scalas, E and Kaizoji, T
(2020)
*Advanced studies of financial technologies and cryptocurrency markets.*
Springer.
ISBN 9789811544972

Pitkin, Alexander
(2020)
*High-order compact finite difference schemes for option pricing in stochastic volatility jump-diffusion models.*
Doctoral thesis
(PhD), University of Sussex.

Ptashnyk, Mariya and Venkataraman, Chandrasekhar
(2020)
*Multiscale analysis and simulation of a signalling process with surface diffusion.*
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18 (2).
pp. 851-886.
ISSN 1540-3459

## R

Rasheed, Maan A and Chlebik, Miroslav
(2020)
*Blow-up rate estimates and blow-up set for a system of two heat equations with coupled nonlinear neumann boundary conditions.*
Iraqi Journal of Science, 61 (1).
pp. 147-152.
ISSN 0067-2904

## S

Sarfaraz, Wakil and Madzvamuse, Anotida
(2020)
*Stability analysis and parameter classification of a reaction-diffusion model on an annulus.*
Journal of Applied Nonlinear Dynamics, 9 (4).
pp. 589-617.
ISSN 2164-6457

Sfakianakis, Nikolaos, Madzvamuse, Anotida and Chaplain, Mark A J
(2020)
*A hybrid multiscale model for cancer invasion of the extracellular matrix.*
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18 (2).
pp. 824-850.
ISSN 1540-3459

Styles, Vanessa and Van Yperen, James
(2020)
*Finite element approximation of a system coupling curve evolution with prescribed normal contact to a fixed boundary to reaction-diffusion on the curve.*
European Numerical Mathematics and Advanced Applications Conference 2019, The Netherlands, 30th Sept - 4th Oct 2019.
Published in: Vermolen, Fred J and Cornelis, Vuik, (eds.) Numerical mathematics and advanced applications ENUMATH 2019.
139
Springer
ISSN 1439-7358
ISBN 9783030558734
(Accepted)

## W

Wei Yang, Feng, Tomášová, Lea, Guttenberg, Zeno V, Chen, Ke and Madzvamuse, Anotida
(2020)
*Investigating optimal time step intervals of imaging for data quality through a novel fully-automated cell tracking approach.*
Journal of Imaging, 6 (7).
a66 1-16.
ISSN 2313-433X

## Z

Zhang, Jai-Fang, Shi, Hong-Bo and Madzvamuse, Anotida
(2020)
*Characterizing the effects of self- and cross-diffusion on stationary patterns of a predator–prey system.*
International Journal of Bifurcation and Chaos, 30 (3).
a2050041 1-20.
ISSN 0218-1274