Student Publications
Note to MASDOC students, the following acknowledgement must apear on any papers resulting from research done while in the MASDOC program:
This work is supported by EPSRC as part of the MASDOC DTC at the University of Warwick. Grant No. EP/HO23364/1.
2015 Cohort
Kamil Kosiba 
Dynamical poroplasticity model with mixed boundary conditions – Theory for LMtype nonlinearity With K. Kisiel. 
Journal of Mathematical Analysis and Applications 443(1), 187–229, 2016 
Katharina Hopf 
Aggregation equations with fractional diffusion: preventing concentration by mixing with J. Rodrigo 
2014 Cohort
Wojciech Ożański 
Równania różniczkowe cząstkowe (Partial differential equations). With K. Chelminski. 
Warsaw University of Technology Publishing House (2015) 9788378144052 
A generalised comparison principle for the MongeAmpère equation and the pressure in 2D fluid flows 
arxiv:1611.06157  
The Lagrange multiplier and the stationary Stokes equations 

On weak solutions to the NavierStokes inequality with internal singularities 

Leray's fundamental work on the NavierStokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace” with B. Pooley 

Pavlos Tsatsoulis 
Spectral Gap for the Stochastic Quantization Equation on the 2dimensional Torus. With H. Weber. 
arxiv:1609.08447 
Theodoros Assiotis 
Interlacing Diffusions With N. O'Connell and J. Warren 
arxiv:1607.07182 
Intertwinings for general β Laguerre and Jacobi processes 
arxiv:1609.03764  
HuaPickrell diffusions and Feller processes on the boundary of the graph of spectra 
arxiv:1703.01813 
2013 Cohort
Adam Bowditch 
Escape regimes of biased random walks on GaltonWatson trees. 
Early access online: Probab. Theory Relat. Fields 
Central limit theorems for biased randomly trapped random walks on 

A quenched central limit theorem for biased random walks on supercritical GaltonWatson trees 

Jake Dunn 
The KleinGordon equation on the toric adSSchwarzschild black hole. With C. Warnick. 
Classical and Quantum Gravity 33(12) 125010. 
Yulong Lu 
A Bayesian level set method for geometric inverse problems. With M.Iglesias and A. Stuart. 
Interfaces and Free Boundaries, 18 (2016) 
Gaussian approximations for transition paths in molecular dynamics. With A. Stuart and H. Weber. 
arXiv:1604.06594  
Gaussian Approximations for Probability Measures on With A. Stuart and H. Weber. 
arxiv:1611.08642  
On the BernsteinVon Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems 
arxiv:1706.00289  
Jamie Lukins 
Multipoint correlations for two dimensional coalescing random walks With R. Tribe and O. Zaboronski 
arxiv:1707.06250 
Jack Skipper 
A simple integral condition for energy conservation in the 3D Euler equations With J. Robinson and J. Rodrigo 
arxiv:1611.00181 
Approach and separation of quantum vortices with balanced cores With C. Rorai, R. Kerr and K. Sreenivasan 
arxiv:1410.1259  
John Sylvester 
Random walk hitting times and effective resistance in sparsely connected ErdősRényi random graphs 
arxiv:1612.00731 
2012 Cohort
Matthew Dunlop 
The Bayesian Formulation of EIT: Analysis and With A. M. Stuart. 
Inverse Problems and Imaging Volume 10, No. 4, 2016, 10071036 
MAP Estimators for Piecewise Continuous Inversion. With A. M. Stuart. 
Inverse Problems 32 ( 2016 ) 105003 ( 50pp ) 

Hierarchical Bayesian Level Set Inversion. With M. A. Iglesias and A. M. Stuart. 
Statistics and Computing 2016 

Adam Griffin 
Simulation from quasistationary distributions on reducible state spaces With P. Jenkins, G. Roberts and S. Spencer 

Graham Hobbs 
A Variational Approach to Particles in Lipid Membranes. With C. M. Elliott, C. Gräser, R. Kornhuber and M. Wolf. 
Arch Rational Mech Anal (2016) 222: 1011. doi:10.1007/s0020501610169. 
Jere Koskela 
Computational inference beyond Kingman's coalescent. With P Jenkins and D. Spano. 
Journal of Applied Probability 52.2 (2015), 519537 
Consistency of Bayesian nonparametric inference for discretely observed jump diffusions. With P. A. Jenkins and D. Spanò 
arXiv:1506.04709  
Bayesian nonparametric inference for Lambdacoalescents: consistency and a parametric method. With P. A. Jenkins and D. Spano. 
arXiv:1512.00982  
Inference and rare event simulation for stopped Markov processes via reversetime sequential Monte Carlo. With P. A. Jenkins and D. Spano. 
Early access online: Statistics and Computing, 2017, 114. DOI: 10.1007/s1122201797221 

Benjamin Lees  Existence of Néel order in the S=1 bilinearbiquadratic Heisenberg model via random loops. 
Comm. Math. Phys., 347(1), 83101 (2016) 
Longrange order for the spin1 Heisenberg model with a small antiferromagnetic interaction. 
Journal of Mathematics and Physics. 55, 093303 (2014) 

Correlation inequalities for the quantum XY model. With C. Benassi and D. Ueltschi. 
J. Stat. Phys., 164(5), 11571166 (2016) 

Staggered longrange order for diluted quantum spin models. With R Kotecký. 
arXiv:1605.06279  
Felipe MedinaAguayo 
Stability of Noisy MetropolisHastings. With A. Lee and G. Roberts. 
Statistics and Computing November 2016, Volume 26, Issue 6, pp 1187–1211 
Faizan Nazar 
Locality of the ThomasFermivon Weizsäcker Equations. With C. Ortner. 
arXiv:1509.06753 
Convergence Rates from Yukawa to Coulomb Interaction in the ThomasFermivon Weizsäcker Model. 
arXiv:1601.01187  
David O'Connor 
The CahnHilliard equation on an evolving surface. With B. Stinner 
arXiv:1607.05627 
Daniel SanzAlonso 
Filter accuracy for the Lorenz 96 model: Fixed versus adaptive observation operators. With K. Law, A. Shukla and A. Stuart. 
Physica D: Nonlinear Phenomena, 325, 113 (2016). 
Longtime asymptotics of the filtering distribution for partially observed chaotic dynamical systems. With A. Stuart. 
SIAM/ASA J. Uncertainty Quantification, 3(1), 12001220 (2015)  
Importance sampling: Computational complexity and intrinsic dimension. With S. Agapiou, O. Papaspiliopoulos and A. Stuart. 
To appear in Statistical Science. 

Gaussian approximations of small noise diffusions in KullbackLeibler divergence. With A. Stuart. 
To appear in Communications in Mathematical Sciences. 

Huan Wu 
Analysis of patchtest consistent atomistictocontinuum coupling with higherorder finite elements. With A. Dedner and C. Ortner 
To appear in ESAIM: Mathematical Modelling and Numerical Analysis. 
2011 Cohort
Amal Alphonse 
An abstract framework for parabolic PDEs on evolving spaces. With C. M. Elliott and B. Stinner. 
Port. Math. 72 (2015), 146 
A Stefan problem on an evolving surface. With C. M. Elliott. 
Phil. Trans. R. Soc. A 373:20140279 (2015) 

On some linear parabolic PDEs on moving hypersurface. With C. M. Elliott and B. Stinner. 
Interfaces Free Bound. 17 (2015), 157187 

Wellposedness of a fractional porous medium equation on an evolving surface. With C. M. Elliott. 
Nonlinear Analysis: Theory, Methods & Applications 137, 342 

Barnaby Garrod 
Interacting particle systems on as Pfaffian point processes I  annihilating and coalescing random walks With R. Tribe and O. Zaboronski 

Examples of interacting particle systems on as Pfaffian point processes II  coalescing branching random walks and annihilating random walks with immigration With M. Poplavskiy, R. Tribe and O. Zaboronski 
arxiv:1605.09668  
Alexander Kister 
Sample path large deviations for Laplacian models in dimensions With S. Adams and H. Weber. 
Electron. J. Probab. 21 (2016), no. 62, 1–36. 
Yuchen Pei 
A qweighted version of the RobinsonSchensted algorithm. With N. O'Connell. 
Electronic Journal of Probability, 18 (2013), 95, 125 
A symmetry property for qweighted RobinsonSchensted and other branching insertion algorithms. 
J. Algebr. Comb. 40(3) 743770(2014)  
On a causal quantum double product integral related to Lévy stochastic area. With R. Hudson. 
arXiv:1506.04294  
Unitary causal quantum stochastic double products as universal interactions I. With R. Hudson. 
Vol. 46 (2015) ACTA PHYSICA POLONICA B No 9. 

Abhishek Shukla 
Analysis of the 3DVAR Filter for the Partially Observed Lorenz '63 Model. With K. Law and A. Stuart. 
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 34 , Number 3 , March 2014 
Matthew Thorpe 
Convergence of the kmeans minimization problem using Gamma convergence. With F. Theil, A. Johansen and N. Cade. 
SIAM Journal on Applied Mathematics, (2015) 
Selfreinforced Meta Learning for Belief Generation. With A. Gkiokas and A. Cristea. 
Research and Development in Intelligent Systems XXXI, Springer International Publishing, (2014)  
Convergence and Rates for FixedInterval MultipleTrack Smoothing Using kMeans Type Optimization. With A. Johansen. 
Electronic Journal of Statistics 10(2):36933722, 2016. 

Weak Convergence of General Smoothing Splines. With A. Johansen. 
arXiv:1506:08450 
2010 Cohort
Charles Brett 
Accuracy and Stability of Filters for Dissipative PDEs. With K. Lam, K Law, D. McCormick, M. Scott and A. Stuart. 
Physica D245 (15 February 2013), 3445 

Mesh adaptivity in optimal control of elliptic variational inqualities with pointtracking of the state. With C.M. Elliott, M. Hintermuller and C. Lobhard 
Interfaces and Free Boundaries Vol 17 (2015) 2153 

Phase diagrams for knotted and unknotted ring polymers.  Phys. Rev. E 85, 031804 (2012)  
Phase field methods for binary recovery. With A. Dedner and C. M. Elliott. 
LNCSE Optimization with PDE constraints, Vol 101, (2014) 2563  
Optimal control of elliptic PDEs at points. With A. Dedner and C. M. Elliot. 
IMA J. Numer. Anal. 36 (2016), no. 3, 1015–1050.  
Optimal control of elliptic PDEs on surfaces of codimension 1. With A. Dedner and C. M. Elliot. 
arXiv:1411.4974  
Michael Eyers 
Phase Transitions in Delaunay Potts Models With S. Adams 
Journal of Statistical Physics 161, No. 4, DOI10.1007/s1095501513938 (2015)  
Adam Hall  Pharmacokinetic modelling of derivatives of the antimalerial drug artemisinin.  Biological and Medical Systems 8 (2013) 266271  
Kei Fong Lam 
Analysis of the diffuse domain approach for a bulksurface coupled PDE system. With H. Abels, K. Lam and B. Stinner 
SIAM J Math Analysis 47 

Accuracy and Stability of Filters for Dissipative PDEs. With C. Brett, K. Law, D. McCormick, M. Scott and A. Stuart. 
Physica D245 (15 February 2013), 3445 

Diffuse interface modelling of soluble surfactants in twophase flow. With H. Garcke and B. Stinner 
Communications in Mathematics, Vol 12, Number 8, pages 14751522  
Pravin Madhavan 
Adaptive discontinuous Galerkin methods on surfaces. With A. Dedner 
Numerische Mathematik (2015) DOI 10.1007/s0021101507194 

Analysis of the discontinuous Galerkin method for elliptic problems on surfaces. With A. Dedner and B. Stinner 
IMA Journal of Numerical Analysis 33, No 3(2013), 952973  
Discontinuous Galerkin methods for hyperbolic and advectiondominated problems on surfaces. With A. Dedner 
arXiv:1505.06752  
High Order discontinuous Galerkin Methods on Surfaces. With P. Antonietti, A. Dedner, S. Stangalino, B. Stinne and M. Verani. 
SIAM Journal on Numerical Analysis 53 (2), 11451171  
David McCormick

Accuracy and Stability of Filters for Dissipative PDEs. With C. Brett, K. Lam, K. Law, M. Scott and A. Stuart. 
Physica D245 (15 February 2013), 3445


Existence and uniqueness for a coupled parabolicelliptic model with applications to magnetic relaxation. With J. Robinson and J. Rodrigo. 
Arch. Rational Mech. Anal., 214(2):503–523, (2014) 

Generalised GagliardoNirenberg inequalities using weak Lebesgue spaces and BMO. With J. Robinson and J. Rodrigo. 
Milan J. Math., 81(2):265–289, (2013) 

Local existence for the nonresistive MHD equations in Besov spaces. With J. Chemin, J. Robinson and J. Rodrigo 

Higher order commutator estimates and local existence for the nonresistive MHD equations and related models. With C. Fefferman, J. Robinson and J. Rodrigo 
J. Funct. Anal., 267(4):1035–1056, (2014) 

Lower bounds on blowingup solutions of the 3D NavierStokes equations in , , and . With E. Olson, J. Robinson, J. Rodrigo, A. VidalLopez and Y. Zhou 

Michael Scott 
Accuracy and Stability of Filters for Dissipative PDEs. With C. Brett, K. Lam, K. Law, D. McCormick and A. Stuart. 
Physica D245 (15 February 2013), 3445 

Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds. With C. M. Elliott and M. Hairer 
arXiv:1208.5958  
Maria Veretennikova 
Controlled Continuous Time Random Walks and Fractional Hamilton Jacobi Bellman Equations. With V. Kolokoltsov 
arXiv:1203.6333  
A fractional Hamilton Jacobi Bellman equation for scaled limits of controlled Continuous Time Random Walks With V. Kolokoltsov 
Communications in Applied and Industrial Mathematics, 6 (1)  CAIM Special Issue hosted in the journal Communications in Applied and Industrial Mathematics published by SIMAI. 

Wellposedness and regularity of the Cauchy problem for nonlinear fractinal in time and space equations. With V. Kolokoltsov 
Fractional Differential Calculus, Volume 4, Number 1 (2014), 1–30 