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- N. Baldin. Reiss, M. 2016 Unbiased estimation of the volume of a convex body. Stochastic Processes and their Applications, 126, 3716-3732.
- S. Becker, M. Mirahmadi, B. Schmidt, K. Schatz, and B. Friedrich. Conditional Quasi-Exact Solvability of the Quantum Planar Pendulum and its Anti-Isospectral Hyperbolic Counterpart. Eur. Phys. J. D 71 (6), 149 (2017).
- S. Becker and N. Datta. Convergence rates for quantum evolution & entropic continuity bounds in infinite dimensions (2018). arXiv:1810.00863.
- S. Becker and C. Hartmann. Infinite-dimensional bilinear and stochastic balanced truncation (2018). arXiv:1806.05322.
- S. Becker, Y. Zhang, and Alpha A. Lee. Geometry of energy landscapes and the optimizability of deep neural networks (2018). arXiv:1808.00408.
- K. Schatz, B. Friedrich, S. Becker, B. Schmidt. Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory. Phys. Rev. A, accepted (2018)
- S. Becker and M. Zworski. Magnetic oscillations in a model of graphene (2018). arXiv:1801.01931 [math-ph].
- S. Becker, R. Han, S. Jitomirskaya. Cantor spectrum of graphene in magnetic fields (2018). arXiv:1803.00988 [math.SP].
- S. Becker, A. Michelangeli, A. Ottolini. Spectral analysis of the 2+1 fermionic trimer with contact interactions (2018). arXiv:1712.10209 [math-ph].
- M. Briant. 2012. From Boltzmann to Navier-Stokes equations on the torus. [Accessed 20 March 2013].
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- T. Begley. Moore, K. On short time existence of Lagrangian mean curvature flow.
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- M. Colbrook., Hopkins, P. F., Ma, X., Squire, J., 2017. Scaling laws of passive-scalar diffusion in the interstellar medium. Published in MNRAS (Monthly Notices of the Royal Astronomical Society).
- M. Colbrook and A. Fokas. 2018. Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons. Published in Applied Numerical Mathematics.
- M. Colbrook, B. Roman and A.C. Hansen. How to compute spectra with error control. Physical Review Letters 122.25 (2019): 250201.
- M. Colbrook and A.C. Hansen. On the infinite-dimensional QR algorithm. Numerische Mathematik (2019): 1-67.
- M. Colbrook. Pseudoergodic operators and periodic boundary conditions. Mathematics of Computation (2019).
- M. Colbrook, L.J. Ayton and T. Fokas. The unified transform for mixed boundary condition problems in unbounded domains. Proceedings of the Royal Society A 475.2222 (2019): 20180605.
- M. Colbrook and L.J. Ayton. A spectral collocation method for acoustic scattering by multiple elastic plates. Journal of Sound and Vibration 461 (2019): 114904.
- M. Colbrook. Extending the unified transform: curvilinear polygons and variable coefficient PDEs. IMA Journal of Numerical Analysis (2018).
- M. Colbrook, T. Fokas and P. Hashemzadeh. A hybrid analytical-numerical technique for elliptic PDEs. SIAM Journal on Scientific Computing 41.2 (2019): A1066-A1090.
- M. Colbrook, N. Flyer and B. Fornberg. On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Journal of Computational Physics 374 (2018): 996-1016.
- M. Colbrook, X. Ma, P. Hopkins and J. Squire. Scaling laws of passive-scalar diffusion in the interstellar medium. Monthly Notices of the Royal Astronomical Society 467.2 (2017): 2421-2429.
- F. de Barros, M. Colbrook and T. Fokas. A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line. International Journal of Heat and Mass Transfer 139 (2019): 482-491.
- M. Colbrook and T. Fokas. Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons. Applied Numerical Mathematics 126 (2018): 1-17.
- L.J. Ayton, M. Colbrook and T. Fokas. The unified transform: a spectral collocation method for acoustic scattering. 25th AIAA/CEAS Aeroacoustics Conference. 2019.
- M. Colbrook and A.C. Hansen. The foundations of spectral computations via the Solvability Complexity Index hierarchy: Part I. arXiv (2019).
- M. Colbrook. The foundations of spectral computations via the Solvability Complexity Index hierarchy: Part 2. arXiv (2019).
- M. Colbrook. Computing spectral measures and spectral types: new algorithms and classifications. arXiv (2019).
- J. Ben-Artzi, M. Colbrook, A.C. Hansen, O. Nevanlinna and M. Seidel. On the solvability complexity index hierarchy and towers of algorithms. arXiv (2019).
- M. Colbrook, Z.I. Botev, K. Kuritz and S. MacNamara. Kernel density estimation with linked boundary conditions. arXiv (2019).
- M. Colbrook and M.J. Priddin. Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions). Researchgate.
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- Evans, J. Non-equilibrium Steady States in Kac’s Model Coupled to a Thermostat.
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- B. Adcock, M. Gataric, A. C. Hansen, 2015, Recovering piecewise smooth functions from nonuniform Fourier measurements. Accepted for publication in the ICOSAHOM proceedings and to be published in Springer Lecture Notes in Computational Science and Engineering, ArXiv:1410.0088.
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- M Giordano, H Kekkonen, 2018 Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems
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- Hoffmann, F, José A.Carrillo and Raluca Eftimie, KRM. Non-local kinetic and macroscopic models for self-organised animal aggregations, (accepted 2015).
- Holding, T.J. & Lestas, I., 2013. On the emergence of oscillations in distributed resource allocation. Proceedings of the 52nd IEEE Conference on Decision and Control Florence, Italy 10-13 December 2013. Published.
- Holding, T.J. & I. Lestas. On the convergence to saddle points of concave-convex functions, the gradient method and emergence of oscillations. Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, California, 15-17 December 2014. Published.
- J. Ben-Artzi & Holding, T.J. Approximations of strongly continuous families of unbounded operators. Accepted. arXiv:1403.3963.
- J. Ben-Artzi & Holding, T.J. Instabilities of the relativistic Vlasov-Maxwell system on unbounded domains. In polishing,0 draft available upon request, approx. 30 pages, 2013. Accepted.
- Holding, T.J. & I. Lestas. Stability and instability in primal-dual algorithms for multi-path routing. Proceedings of the 54th IEEE Conference on Decision and Control, Osaka, Japan, 15-18 December 2015. Published.
- Holding, T.J., Harsha Hutridurga and Jeffrey Rauch. Convergence along mean flows. Submitted, preprint.
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The maximal excess charge for a family of density-matrix-functional theories including Hartree–Fock and Müller theories , J. Math. Phys. 58, 011901 (2017) - Kisil, A., 2015. Stability analysis of matrix Wiener--Hopf factorisation of Daniele--Khrapkov class and reliable approximate factorisation. Accepted Proc. R. Soc.
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- Burger, M., Düring, B.,Kreusser, L., Markowich, P. A., Schönlieb., C. Pattern formation of a nonlocal, anisotropic interaction model. arXiv:1610.08108, submitted.
- Klar, A, Kreusser, L.,, Tse, O. Trend to equilibrium for a delay Vlasov-Fokker-Planck equation and explicit decay estimates. arXiv:1512.01074, submitted.
- Brächer A., Kreusser, L., Qamar, S., Seidel-Morgenstern, A., von Harbou, E. Application of Quantitative Inline NMR Spectroscopy for Investigation of a Fixed-Bed Chromatographic Reactor Process, Chemical Engineering Journal, 336, 518-530, 2018. [printed version]
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- Kudryashova, N.I. & Obukhov, Y.N., 2010. On the dynamics of classical particles with spin. Physics Letters A, 374, pp.3801–3805.
- Kudryashova, N.I., 2011. How Electrons Spin. Eureka: Journal of the Archimedeans, 61, pp.30-33.
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- Lila, E. Aston, J. A. D., Sangalli, L. M. Smooth Principal Component Analysis over two-dimensional manifolds with an application to neuroimaging. Ann. Appl. Stat. 10 (2016), no. 4, 1854--1879.
- Lila, E. and Aston, J. A. D. Statistical Analysis of Functions on Surfaces, with an application to Medical Imaging. Submitted (arXiv:1707.00453).
- Löffler, M., Carpentier, A., Klopp, O. Nickl, R., Bernoulli, Adaptive confidence sets for matrix completion. To appear 2017. Preprint available.
- Löffler, M., Carpentier, A., Klopp, O. Constructing confidence sets for the matrix completion problem. Preprint available.
- Koltchinskii, V, Löffler, M., Nickl‚ R. Efficient Estimation of Linear Functionals of Principal Components.
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- Briant, M., Merino-Aceituno, S., Mouhot, C. From Boltzmann to incompressible Navier-Stokes in Sobolev spaces with polynomial weight.
- Hittmeir, S., Merino-Aceituno, S. Kinetic derivation of fractional Stokes and Stokes-Fourier systems.
- Mellet, A., Merino-Aceituno, S. Anomalous energy transport in FPU-$β$ chain. Accepted in the Journal of Statistical Physics.
- Boltcheva, D., Canino, D., Merino Aceituno, S., Léon, J-C, De Floriani, L. & Hétroy, F., 2011. An iterative algorithm for homology computation on simplicial shapes. Computer Aided Design, 43 (11), pp. 1457-1467. [Accessed 21 March 2012].
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- Calatroni, L., Estatico, C., Garibaldi, N., Parisotto, S. Alternating Direction Implicit (ADI) Schemes for a PDE-Based Image Osmosis Model. Journal of Physics: Conference Series 904, no. 1 (2017): 012014; doi: 10.1088/1742-6596/904/1/012014.
- Daffara, C., Parisotto, S., Mariotti, P.I. Mid-infrared thermal imaging for an effective mapping of surface materials and sub-surface detachments in mural paintings: integration of thermography and thermal quasi-reflectography. Proc. SPIE 9527, Optics for Arts, Architecture, and Archaeology V, 95270I (June 30, 2015); doi:10.1117/12.2184836.
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Parisotto, S., Calatroni, L., and Daffara, C. Digital Cultural Heritage imaging via osmosis filtering. Accepted for publication in LNCS, Proceeding of ICISP Conference 2018.
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Daffara, C., Parisotto, S., Ambrosini D. Multipurpose, dual-mode imaging in the 3–5 \mu m range (MWIR) for artwork diagnostics: A systematic approach. Optics and Lasers in Engineering, 2017. doi: 10.1016/j.optlaseng.2017.10.006
- Pegon, P, Piazzoli, D, Santambrogio, F. Full characterization of optimal transport plans for concave costs (Accepted Paper: Discr. Cont. Dyn. Syst. - A).
- Pinsker, F. and Berloff, N.G., 2014, Nonlinear Eigenmodes of a quantum polariton oscillator, in prep.
- Dreismann, A., Cristofolini, P., Balili, R., Christmann, G., Pinsker, F., Berloff, N.G., Hatzopoulos, Z., Savvidis, P.G., Baumberg, J.J., Coupled counter-rotating polariton condensates in optically defined annular potentials., accepted for publication in PNAS.
- Pinsker, F. and Berloff, N.G., 2013. Transitions and excitations in a superfluid stream passing small impurities. Accepted for publication in Physical Review A.
- Pinsker, F. and Flayac, H., 2013. On-demand dark soliton train manipulation in a spinor polariton condensate. Phys. Rev. Lett. 112, 140405 (2014). [Accessed 11 November 2013].
- Pinsker, F., 2013. Computing with soliton trains in ultracold Bose-Einstein condensates. Submitted. [Accessed 20 May 2013].
- Pinsker, F., Berloff, N.G. & Perez-Garcia, V., 2013. Nonlinear quantum piston for the controlled generation of vortex rings and soliton trains. Physical Review A. [Accessed 11 November 2013].
- Correggi, M., Pinsker, F., Rougerie, N. & Yngvason, J., 2012. Vortex phases of rotating superfluids. Journal of Physics: Conference Series, 414, conference 1. [Accessed 20 May 2013].
- Correggi, M., Pinsker, F., Rougerie, N. & Yngvason, J., 2012. Giant vortex phase transition in rapidly rotating traped Bose--Einstein condensates. Proceedings of the conference 'Theory of quantum gases and quantum coherence'. [Accessed 1 November 2012].
- Correggi, M., Pinsker, F., Rougerie, N. & Yngvason, J., 2011. Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices. Physical Review A, 84(5) 053614. [Accessed 14 November 2011].
- Correggi, M., Pinsker, F., Rougerie, N. & Yngvason, J., 2011. Critical rotational speeds for superfluids in homogeneous traps. Journal of Mathematical Physics, [Online]. 53(9). [Accessed 14 May 2012].
- Correggi, M., Pinsker, F., Rougerie, N. & Yngvason, J., 2011. Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions. Journal of Statistical Physics, [Online]. 143(2), 261-305. [Accessed 05 July 2011].
- Adcock, B., Hansen, A.C & Poon, C., 2012. On optimal wavelet reconstructions from Fourier samples: linearity and universality of the stable sampling rate. Applied and Computational Harmonic Analysis, submitted. [Accessed 15 March 2013], preprint.
- Adcock, B., Hansen, A.C & Poon, C., 2012. Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem. SIAM Journal on Mathematical Analysis, submitted. [Accessed 15 March 2013], preprint.
- Adcock, B., Hansen, A.C., Poon, C. & Roman, B., 2013. Breaking the coherence barrier: asymptotic incoherence and asymptotic sparsity in compressed sensing. [Accessed 15 March 2013], preprint.
- Poon, C., 2013. A consistent and stable approach to generalized sampling. [Accessed 22 March 2013], preprint.
- Powell E., 2015 Critical behaviour of branching diffusions in bounded domains. Preprint.
- Powell E. Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation. Preprint (2017).
- Powell E., Juhan, A., Sepúlveda, A. Approximating Liouville measure using local sets of the Gaussian free field. Preprint (2017).
- Powell E. An invariance principle for branching diffusions in bounded domains. Submitted (2016).
- Powell E., Hao, W. Level lines of the Gaussian free field with general boundary data. To appear in Annales de l'Institut Henri Poincaré (2017).
- Ramos, A.G.C.P., 2015. Uniform and high-order MATLAB software for Sturm--Liouville problems via Fer streamers. Provided as supplementary material to practical implementation of Fer streamers.
- Ramos, A.G.C.P., 2015. Uniform and high-order practical implementation of Sturm--Liouville problems via Fer streamers. Submitted.
- Ramos, A.G.C.P., 2015. Uniform and high-order discretization schemes for Sturm--Liouville problems via Fer streamers. Submitted.
- Ramos, A.G.C.P., 2014. Numerical solution of Sturm--Liouville problems via Fer Streamers: absolutely integrable potentials and self-adjoint boundary conditions. Submitted.
- Ramos, A.G.C.P. & Iserles, A., 2015. Numerical solution of Sturm--Liouville problems via Fer streamers. Springer Numerische Mathematik, vol. 131, no. 3, pp 541--565, November 2015. (DOI:10.1007/s00211-014-0695-0)
- Ramos, A.G.C.P. & Rodrigues, M.R.D., 2014. Fading channels with arbitrary inputs: asymptotics of the constrained capacity and information and estimation measures. IEEE Transactions on Information Theory, vol. 60, no. 9, pp. 5653--5672, September 2014. (DOI:10.1109/TIT.2014.2333746)
- Ramos, A.G.C.P. & Rodrigues, M.R.D., 2013. Characterization and optimization of the constrained capacity of coherent fading channels driven by arbitrary inputs: a Mellin transform based asymptotic approach. In Proceedings of the IEEE International Symposium on Information Theory (ISIT), Istanbul, Turkey, July 2013, pp. 2079--2083. (DOI:10.1109/ISIT.2013.6620592)
- Rodrigues, M.R.D. & Ramos, A.G.C.P., 2009. On Multiple-Input Multiple-Output Gaussian channels with arbitrary inputs subject to jamming. In Proceedings of the IEEE International Symposium on Information Theory (ISIT), Seoul, South Korea, June 2009, pp. 2512--2516. (DOI:10.1109/ISIT.2009.5206051)
- Ray, K., 2012. Bayesian inverse problems with non-conjugate priors. [Accessed 20 March 2013].
- Ehrhardt, M. J., Riis, E. S., Ringholm, T., Schönlieb, C.-B. A geometric integration approach to smooth optimisation: Foundations of the discrete gradient method.
- M. J. Ehrhardt, G. R. W. Quispel, Riis, E. S., C.-B. Schönlieb. A geometric integration approach to nonsmooth, nonconvex optimisation. In preparation.
- März, T., Rockstroh, P., Ruuth, S.J., 2012. An embedding technique for the solution of reaction-diffusion equations on algebras surfaces with isolated singularities. Foundation of Computational Mathematics, submitted. [Accessed 20 March 2013].
- Datta, N., Pautrat, Y., Rouze, C. Contractivity properties of a quantum diffusion semigroup, Journal of mathematical physics (2017) [Accepted for talk at QIP 2017]
- Datta, N., Leditzky F., Rouze, C. Data processing for the sandwiched Rényi divergence: a condition for equality, Letters in Mathematical Physics (2016).
- Datta, N., Pautrat, Y., Rouze, C. Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d. – quantum lattice systems and more, Journal of Mathematical Physics (2016).
- Datta, N., Rouze, C. Concentration of quantum states from quantum functional and Talagrand inequalities (2017) (preprint) [arXiv].
- Datta, N., Rouze, C. Finite blocklength and moderate deviation analysis of hypothesis testing of correlated quantum states and application to classical-quantum channels with memory (2017) (preprint) [arXiv] [Accepted for talk at Beyond i.i.d. 2017].
- Hernández-Lobato, J.M., Li, Y., Rowland, M., Hernández-Lobato, D., Bui, T. and Turner, R.E.. Black-box Alpha Divergence Minimization. International Conference on Machine Learning (ICML), 2016.
- Weller, A., Rowland, M. and Sontag, D. Tightness of LP Relaxations for Almost Balanced Models. Artificial Intelligence and Statistics (AISTATS), 2016.
- Rowland, M, Pacchiano, A and Weller, A. Conditions Beyond Treewidth for Tightness of Higher-order LP Relaxations. Artificial Intelligence and Statistics (AISTATS), 2017.
- Tripuraneni, N., Rowland, M., Ghahramani, Z., and Turner, R. E.. Magnetic Hamiltonian Monte Carlo. International Conference on Machine Learning (ICML), 2017.
- Rowland, M. and Weller, A. Uprooting and Rerooting Higher-Order Graphical Models. Advances in Neural Information Processing Systems (NIPS), 2017.
- Choromanski, K., Rowland, M, and Weller, A. The Unreasonable Effectiveness of Structured Random Orthogonal Embeddings. Advances in Neural Information Processing Systems (NIPS), 2017.
- Dabney, W., Rowland, M., Bellemare, M. G., Munos, R.. Distributional Reinforcement Learning with Quantile Regression. To appear at the Thirty-Second AAAI Conference on Artificial Intelligence (AAAI 2018).
- Choromanski, K., Rowland, M., Sarlos, T., Sindhwani, V., Turner, R.E., and Weller, A. The Geometry of Random Features. To appear in Artificial Intelligence and Statistics (AISTATS), 2018.
- Matthews, A. G. de G., Hron, J., Rowland, M., Turner, R. E., Ghahramani, Z.. Gaussian Process Behaviour in Wide Deep Neural Networks. To appear at the International Conference on Learning Representations (ICLR), 2018.
- Rowland, M., Bellemare, M. G., Dabney, W., Munos, R., Teh, Y.W.. An Analysis of Categorical Distributional Reinforcement Learning. Artificial Intelligence and Statistics (AISTATS), 2018.
- Choromanski, K., Rowland, M., Sindhwani, V, Turner RE., Weller, A. Structured Evolution with Compact Architectures for Scalable Policy Optimization. To appear at the International Conference on Machine Learning (ICML), 2018.
- Papafitsoros, K., Sengul, B. & Schönlieb, C.-B., 2013. Combined first and second order total variation inpainting using split Bregman. Image Processing Online, submitted.
- Rindler, F. & Shaw, G., 2014. Strictly continuous extensions and convex lower semicontinuity of functionals with linear growth. Submitted.
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Faggionato A. & Silvestri V., 2014. Random walks on quasi one dimensional lattices: large deviations and fluctuation theorems. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. To appear.
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Faggionato A. & Silvestri V., 2014. Discrete kinetic models for molecular motors: asymptotic velocity and gaussian fluctuations. Journal of Statistical Physics 157.6 (2014): 1062-1096.
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Silvestri V., 2015. Fluctuation results for Hastings-Levitov planar growth. Probability Theory and Related Fields. Accepted.
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Talbot, T. Gluing and deformation of asymptotically cylindrical Calabi-Yau manifolds in complex dimension three
arXiv:1703.09201 (preprint). - Van de Moortel, M., 2017. Stability and instability of the sub-extremal Reissner-Nordström black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry.
- Van de Moortel, M., 2018. Decay of weakly charged solutions for the spherically symmetric Maxwell-Charged-Scalar-Field equations on a Reissner-Nordström exterior space-time.
- Bressan, A. & Wang, Z., 2009. Classical solutions to differential inclusions with totally disconnected right hand side. Journal of Differential Equations, 246, pp.629-640.
- Bressan, A. & Wang, Z., 2009. On the controllability of Lagrangian systems by active constraints. Journal of Differential Equations, 247, pp.543-563.
- Bressan, A. & Wang, Z., 2011. On the stability of the best reply map for noncooperative differential games. Analysis and Applications. In press.
- Webb, M., Trefethen, L.N. & Gonnet, P., 2012. Stability of Barycentric Interpolation Formulas for Extrapolation. SIAM Journal on Scientific Computing, 34(6), pp.A3009-A3015.
- Webb, M., 2013. Computing Complex Singularities of Differential Equations with Chebfun. SIAM Undergraduate Research Online, submitted.
- Berestycki, N., Webb, C., Wong, M. D. Random Hermitian Matrices and Gaussian multiplicative chaos (arXiv:1701.03289) submitted (preprint).
- Webb, C., Wong, M. D. On the moments of the characteristic polynomial of a Ginibre random matrix (arXiv:1704.04102) (preprint).