Dynamical poroplasticity model with mixed boundary conditions

– Theory for LM-type nonlinearity

With K. Kisiel.

Journal of Mathematical Analysis and Applications 

443(1), 187–229, 2016

Aggregation equations with fractional diffusion: preventing concentration by mixing

with J. Rodrigo

arxiv:1703.05578

Równania różniczkowe cząstkowe (Partial differential equations).

With K. Chelminski.

A generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flows

The Lagrange multiplier and the stationary Stokes equations

arxiv:1703.08216

On weak solutions to the Navier-Stokes inequality with internal singularities

arxiv.org/abs/1709.00602

Leray's fundamental work on the Navier-Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace”

with B. Pooley

arxiv.org/abs/1708.09787

Spectral Gap for the Stochastic Quantization Equation on the 2-dimensional Torus.

With H. Weber.

Interlacing Diffusions

With N. O'Connell and J. Warren

Intertwinings for general β Laguerre and Jacobi processes

Hua-Pickrell diffusions and Feller processes on the boundary of the graph of spectra

Escape regimes of biased random walks on Galton-Watson trees.

arXiv:1605.05050

Early access online: Probab. Theory Relat. Fields

DOI 10.1007/s00440-017-0768-y

Central limit theorems for biased randomly trapped random walks on

arxiv:1611.06879

A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees

arxiv:1701.04294

The Klein-Gordon equation on the toric adS-Schwarzschild black hole.

With C. Warnick.

Classical and Quantum Gravity 33(12) 125010.

arXiv:1507.07367

Yulong Lu

A Bayesian level set method for geometric inverse problems.

With M.Iglesias and A. Stuart.

Interfaces and Free Boundaries, 18 (2016)

arXiv:1504.00313

Gaussian approximations for transition paths in molecular dynamics.

With A. Stuart and H. Weber.

Gaussian Approximations for Probability Measures on

With A. Stuart and H. Weber.

On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems

Multi-point correlations for two dimensional coalescing random walks

With R. Tribe and O. Zaboronski

A simple integral condition for energy conservation in the 3D Euler equations

With J. Robinson and J. Rodrigo

Approach and separation of quantum vortices with balanced cores

With C. Rorai, R. Kerr and K. Sreenivasan

Random walk hitting times and effective resistance in sparsely connected Erdős-Rényi random graphs

The Bayesian Formulation of EIT: Analysis and
Algorithms.

With A. M. Stuart.

Inverse Problems and Imaging Volume 10, No. 4, 2016, 1007-1036

arXiv:1508.04106

MAP Estimators for Piecewise Continuous Inversion.

With A. M. Stuart.

Inverse Problems 32 ( 2016 ) 105003 ( 50pp )

arXiv:1509.03136

Hierarchical Bayesian Level Set Inversion.

With M. A. Iglesias and A. M. Stuart.

Statistics and Computing 2016

doi:10.1007/s11222-016-9704-8

arXiv:1601.03605

Simulation from quasi-stationary distributions on reducible state spaces

With P. Jenkins, G. Roberts and S. Spencer

arxiv:1612.01872

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/s00205-016-1016-9.

arXiv:1512.02375

Computational inference beyond Kingman's coalescent.

With P Jenkins and D. Spano.

Journal of Applied Probability 52.2 (2015), 519-537

arXiv:1311.5699

Consistency of Bayesian nonparametric inference for discretely observed jump diffusions.

With P. A. Jenkins and D. Spanò

Bayesian non-parametric inference for Lambda-coalescents: consistency and a parametric method.

With P. A. Jenkins and D. Spano.

Inference and rare event simulation for stopped Markov processes via reverse-time sequential Monte Carlo.

With P. A. Jenkins and D. Spano.

Early access online: Statistics and Computing, 2017, 1-14. DOI: 10.1007/s11222-017-9722-1

arXiv:1603.02834

Comm. Math. Phys., 347(1), 83-101 (2016)

arXiv:1507.04942

Journal of Mathematics and Physics. 55, 093303 (2014)

arXiv:1406.1044

Correlation inequalities for the quantum XY model.

With C. Benassi and D. Ueltschi.

J. Stat. Phys., 164(5), 1157-1166 (2016)

arXiv:1510.03215

Staggered long-range order for diluted quantum spin models.

With R Kotecký.

Stability of Noisy Metropolis-Hastings.

With A. Lee and G. Roberts.

Statistics and Computing November 2016, Volume 26, Issue 6, pp 1187–1211

aXiv:1503.07066

Faizan Nazar

Locality of the Thomas-Fermi-von Weizsäcker Equations.

With C. Ortner.

Convergence Rates from Yukawa to Coulomb Interaction in the Thomas-Fermi-von Weizsäcker Model.

The Cahn-Hilliard equation on an evolving surface.

With B. Stinner

Filter accuracy for the Lorenz 96 model: Fixed versus adaptive observation operators.

With K. Law, A. Shukla and A. Stuart.

Long-time asymptotics of the filtering distribution for partially observed chaotic dynamical systems.

With A. Stuart.

Importance sampling: Computational complexity and intrinsic dimension.

With S. Agapiou, O. Papaspiliopoulos and A. Stuart.

To appear in Statistical Science.

arXiv:1511.06196

Gaussian approximations of small noise diffusions in Kullback-Leibler divergence.

With A. Stuart.

To appear in Communications in Mathematical Sciences.

arXiv:1605.05878

Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements.

With A. Dedner and C. Ortner

To appear in ESAIM: Mathematical Modelling and Numerical Analysis.

arXiv:1607.05936

An abstract framework for parabolic PDEs on evolving spaces.

With C. M. Elliott and B. Stinner.

Port. Math. 72 (2015), 1-46

arXiv:1403.4500

A Stefan problem on an evolving surface.

With C. M. Elliott.

Phil. Trans. R. Soc. A 373:20140279 (2015)

arXiv:1412.5534

On some linear parabolic PDEs on moving hypersurface.

With C. M. Elliott and B. Stinner.

Interfaces Free Bound. 17 (2015), 157-187

arXiv:1412.1624

Well-posedness of a fractional porous medium equation on an evolving surface.

With C. M. Elliott.

Nonlinear Analysis: Theory, Methods & Applications 137, 3-42

arXiv:1509.01447

Barnaby Garrod

Interacting particle systems on as Pfaffian point processes I - annihilating and coalescing random walks

With R. Tribe and O. Zaboronski

arxiv:1507.01843

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

Sample path large deviations for Laplacian models in -dimensions

With S. Adams and H. Weber.

A q-weighted version of the Robinson-Schensted algorithm.

With N. O'Connell.

On a causal quantum double product integral related to Lévy stochastic area.

With R. Hudson.

Unitary causal quantum stochastic double products as universal interactions I.

With R. Hudson.

Analysis of the 3DVAR Filter for the Partially Observed Lorenz '63 Model.

With K. Law and A. Stuart.

Convergence of the k-means minimization problem using Gamma convergence.

With F. Theil, A. Johansen and N. Cade.

Self-reinforced Meta Learning for Belief Generation.

With A. Gkiokas and A. Cristea.

Convergence and Rates for Fixed-Interval Multiple-Track Smoothing Using k-Means Type Optimization.

With A. Johansen.

Electronic Journal of Statistics 10(2):3693-3722, 2016.

arXiv:1506.02676

Weak Convergence of General Smoothing Splines.

With A. Johansen.

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), 34-45

arXiv:1203.5845

Mesh adaptivity in optimal control of elliptic variational inqualities with point-tracking of the state.

With C.M. Elliott, M. Hintermuller and C. Lobhard

Interfaces and Free Boundaries

Vol 17 (2015) 21-53

Phase field methods for binary recovery.

With A. Dedner and C. M. Elliott.

Optimal control of elliptic PDEs at points.

With A. Dedner and C. M. Elliot.

Optimal control of elliptic PDEs on surfaces of codimension 1.

With A. Dedner and C. M. Elliot.

Phase Transitions in Delaunay Potts Models

With S. Adams

Analysis of the diffuse domain approach for a bulk-surface coupled PDE system.

With H. Abels, K. Lam and B. Stinner

SIAM J Math Analysis 47
(2015), 3687--3725.

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), 34-45

arXiv:1203:5845

Diffuse interface modelling of soluble surfactants in two-phase flow.

With H. Garcke and B. Stinner

Pravin Madhavan

Adaptive discontinuous Galerkin methods on surfaces.

With A. Dedner

Numerische Mathematik (2015)

DOI 10.1007/s00211-015-0719-4

Analysis of the discontinuous Galerkin method for elliptic problems on surfaces.

With A. Dedner and B. Stinner

Discontinuous Galerkin methods for hyperbolic and advection-dominated problems on surfaces.

With A. Dedner

High Order discontinuous Galerkin Methods on Surfaces.

With P. Antonietti, A. Dedner, S. Stangalino, B. Stinne and M. Verani.

David McCormick

Accuracy and Stability of Filters for Dissipative PDEs.

With C. Brett, K. Lam, K. Law, M. Scott and A. Stuart.

arXiv:1203.5845

Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation.

With J. Robinson and J. Rodrigo.

Arch. Rational Mech. Anal., 214(2):503–523, (2014)

arXiv:1303.6352

Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO.

With J. Robinson and J. Rodrigo.

Milan J. Math., 81(2):265–289, (2013)

arXiv:1303.6351

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

Advances in Mathematics 286 pp1-31

arXiv:1503.01651

Higher order commutator estimates and local existence for the non-resistive MHD equations and related models.

With C. Fefferman, J. Robinson and J. Rodrigo

J. Funct. Anal., 267(4):1035–1056, (2014)

arXiv:1401.5018

Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in , , and .

With E. Olson, J. Robinson, J. Rodrigo, A. Vidal-Lopez and Y. Zhou

arXiv:1503.04323

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), 34-45

arXiv:1203.5845

Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds.

With C. M. Elliott and M. Hairer

Controlled Continuous Time Random Walks and Fractional Hamilton Jacobi Bellman Equations.

With V. Kolokoltsov

A fractional Hamilton Jacobi Bellman equation for scaled limits of controlled Continuous Time Random Walks

With V. Kolokoltsov

Wellposedness and regularity of the Cauchy problem for nonlinear fractinal in time and space equations.

With V. Kolokoltsov