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Nonparametric predictive inference for diagnostic test thresholds (2018)
Journal Article
Coolen-Maturi, T., Coolen, F., & Alabdulhadi, M. (2020). Nonparametric predictive inference for diagnostic test thresholds. Communications in Statistics - Theory and Methods, 49(3), 697-725. https://doi.org/10.1080/03610926.2018.1549249

Measuring the accuracy of diagnostic tests is crucial in many application areas including medicine, machine learning and credit scoring. The receiver operating characteristic (ROC) curve and surface are useful tools to assess the ability of diagnosti... Read More about Nonparametric predictive inference for diagnostic test thresholds.

Uniform moment propagation for the Becker--Döring equations (2018)
Journal Article
Cãnizo, J. A., Einav, A., & Lods, B. (2018). Uniform moment propagation for the Becker--Döring equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 149(4), 995-1015. https://doi.org/10.1017/prm.2018.99

We show uniform-in-time propagation of algebraic and stretched exponential moments for the Becker--Döring equations. Our proof is based upon a suitable use of the maximum principle together with known rates of convergence to equilibrium.

A gradient flow perspective on the quantization problem (2018)
Presentation / Conference Contribution
Iacobelli, M., Cardaliaguet, P., Porretta, A., & Salvarani, F. (2018, December). A gradient flow perspective on the quantization problem. Presented at PDE Models for Multi-Agent Phenomena, Rome, Italy

In this paper we review recent results by the author on the problem of quantization of measures. More precisely, we propose a dynamical approach, and we investigate it in dimensions 1 and 2. Moreover, we discuss a recent general result on the static... Read More about A gradient flow perspective on the quantization problem.

The convex hull of a planar random walk: perimeter, diameter, and shape (2018)
Journal Article
McRedmond, J., & Wade, A. R. (2018). The convex hull of a planar random walk: perimeter, diameter, and shape. Electronic Journal of Probability, 23, Article 131. https://doi.org/10.1214/18-ejp257

We study the convex hull of the first n steps of a planar random walk, and present large-n asymptotic results on its perimeter length Ln, diameter Dn, and shape. In the case where the walk has a non-zero mean drift, we show that Ln=Dn ! 2 a.s., and g... Read More about The convex hull of a planar random walk: perimeter, diameter, and shape.

Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology (2018)
Journal Article
Li, Y., Zhang, S., Hobbs, R., Caiado, C., Sproson, A., Selby, D., & Rooney, A. (2019). Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology. Science Bulletin, 64(3), 189-197. https://doi.org/10.1016/j.scib.2018.12.019

Geochronology is essential for understanding Earth’s history. The availability of precise and accurate isotopic data is increasing; hence it is crucial to develop transparent and accessible data reduction techniques and tools to transform raw mass sp... Read More about Monte Carlo sampling for error propagation in linear regression and applications in isochron geochronology.

Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour (2018)
Journal Article
Iacobelli, M., Patacchini, F., & Santambrogio, F. (2019). Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour. Archive for Rational Mechanics and Analysis, 232(3), 1165-1206. https://doi.org/10.1007/s00205-018-01341-w

In this paper we devote our attention to a class of weighted ultrafast diffusion equations arising from the problem of quantisation for probability measures. These equations have a natural gradient flow structure in the space of probability measures... Read More about Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour.

Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling (2018)
Journal Article
Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling. Physical Review D, 98(12), Article 126008. https://doi.org/10.1103/physrevd.98.126008

The spectrum of IIB supergravity on AdS5 × S5 contains a number of bound states described by long double-trace multiplets in N ¼ 4 super Yang-Mills theory at large ‘t Hooft coupling. At large N these states are degenerate and to obtain their anomalou... Read More about Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling.

Representations of reductive groups over finite local rings of length two (2018)
Journal Article
Stasinski, A., & Vera-Gajardo, A. (2019). Representations of reductive groups over finite local rings of length two. Journal of Algebra, 525, 171-190. https://doi.org/10.1016/j.jalgebra.2018.11.039

LetFqbe a finite field of characteristicp, and letW2(Fq)be thering of Witt vectors of length two overFq. We prove that for any reduc-tive group schemeGoverZsuch thatpis very good forG×Fq, the groupsG(Fq[t]/t2)andG(W2(Fq))have the same number of irred... Read More about Representations of reductive groups over finite local rings of length two.

Magnetic Structures at the Boundary of the Closed Corona: Interpretation of S-Web Arcs (2018)
Journal Article
Scott, R. B., Pontin, D. I., Yeates, A. R., Wyper, P. F., & Higginson, A. K. (2018). Magnetic Structures at the Boundary of the Closed Corona: Interpretation of S-Web Arcs. Astrophysical Journal, 869(1), Article 60. https://doi.org/10.3847/1538-4357/aaed2b

The topology of coronal magnetic fields near the open-closed magnetic flux boundary is important to the the process of interchange reconnection, whereby plasma is exchanged between open and closed flux domains. Maps of the magnetic squashing factor i... Read More about Magnetic Structures at the Boundary of the Closed Corona: Interpretation of S-Web Arcs.

Magnetic Helicity Condensation and the Solar Cycle (2018)
Journal Article
Mackay, D. H., DeVore, C. R., Antiochos, S. K., & Yeates, A. R. (2018). Magnetic Helicity Condensation and the Solar Cycle. Astrophysical Journal, 869(1), Article 62. https://doi.org/10.3847/1538-4357/aaec7c

Solar filaments exhibit a global chirality pattern where dextral/sinistral filaments, corresponding to negative/positive magnetic helicity, are dominant in the northern/southern hemisphere. This pattern is opposite to the sign of magnetic helicity in... Read More about Magnetic Helicity Condensation and the Solar Cycle.

On the centre of mass of a random walk (2018)
Journal Article
Lo, C. H., & Wade, A. R. (2019). On the centre of mass of a random walk. Stochastic Processes and their Applications, 129(11), 4663-4686. https://doi.org/10.1016/j.spa.2018.12.007

For a random walk Sn on Rd we study the asymptotic behaviour of the associated centre of mass process Gn=n−1∑ni=1Si. For lattice distributions we give conditions for a local limit theorem to hold. We prove that if the increments of the walk have zero... Read More about On the centre of mass of a random walk.

Bayes linear analysis of risks in sequential optimal design problems (2018)
Journal Article
Jones, M., Goldstein, M., Jonathan, P., & Randell, D. (2018). Bayes linear analysis of risks in sequential optimal design problems. Electronic Journal of Statistics, 12(2), 4002-4031. https://doi.org/10.1214/18-ejs1496

In a statistical or physical model, it is often the case that a set of design inputs must be selected in order to perform an experiment to collect data with which to update beliefs about a set of model parameters; frequently, the model also depends o... Read More about Bayes linear analysis of risks in sequential optimal design problems.

Quasi-integrability of deformations of the KdV equation (2018)
Journal Article
ter Braak, F., Ferreira, L., & Zakrzewski, W. (2019). Quasi-integrability of deformations of the KdV equation. Nuclear Physics B, 939, 49-94. https://doi.org/10.1016/j.nuclphysb.2018.12.004

We investigate the quasi-integrability properties of various deformations of the Korteweg–de Vries (KdV) equation, depending on two parameters and , which include among them the regularized long-wave (RLW) and modified regularized long-wave (mRLW) eq... Read More about Quasi-integrability of deformations of the KdV equation.

Skyrmions and Clustering in Light Nuclei (2018)
Journal Article
Naya, C., & Sutcliffe, P. (2018). Skyrmions and Clustering in Light Nuclei. Physical Review Letters, 121(23), Article 232002. https://doi.org/10.1103/physrevlett.121.232002

One of the outstanding problems in modern nuclear physics is to determine the properties of nuclei from the fundamental theory of the strong force, quantum chromodynamics (QCD). Skyrmions offer a novel approach to this problem by considering nuclei a... Read More about Skyrmions and Clustering in Light Nuclei.

Supramolecular Self-Assembly, DNA interaction, Antibacterial and Cell Viability studies of Cu(II) and Ni(II) Complexes derived from NNN donor Schiff Base ligand (2018)
Journal Article
Jana, K., Das, S., Puschmann, H., Debnath, S. C., Shukla, A., Mahanta, A. K., …Samanta, B. C. (2019). Supramolecular Self-Assembly, DNA interaction, Antibacterial and Cell Viability studies of Cu(II) and Ni(II) Complexes derived from NNN donor Schiff Base ligand. Inorganica Chimica Acta, 487, 128-137. https://doi.org/10.1016/j.ica.2018.12.007

In the present study, synthesis of two complexes, namely [Cu(L)Cl2] (1) and [Ni(L)Cl(H2O)2)]Cl (2), where L = piperidin-2-yl-N-(1-(pyridin-2-yl) ethylidene)methanamine were reported along with their characterization by spectroscopic techniques. The c... Read More about Supramolecular Self-Assembly, DNA interaction, Antibacterial and Cell Viability studies of Cu(II) and Ni(II) Complexes derived from NNN donor Schiff Base ligand.

Vortices and Vermas (2018)
Journal Article
Bullimore, M., Dimofte, T., Gaiotto, D., Hilburn, J., & Kim, H.-C. (2018). Vortices and Vermas. Advances in Theoretical and Mathematical Physics, 22(4), 803-917. https://doi.org/10.4310/atmp.2018.v22.n4.a1

In three-dimensional gauge theories, monopole operators create and destroy vortices. We explore this idea in the context of 3d N=4 gauge theories in the presence of an Ω-background. In this case, monopole operators generate a non-commutative algebra... Read More about Vortices and Vermas.