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Optimization via Statistical Emulation and Uncertainty Quantification: Hosting Capacity Analysis of Distribution Networks (2021)
Journal Article
Du, H., Sun, W., Goldstein, M., & Harrison, G. (2021). Optimization via Statistical Emulation and Uncertainty Quantification: Hosting Capacity Analysis of Distribution Networks. IEEE Access, 9, 118472-118483. https://doi.org/10.1109/access.2021.3105935

In power systems modelling, optimization methods based on certain objective function(s) are widely used to provide solutions for decision makers. For complex high-dimensional problems, such as network hosting capacity evaluation of intermittent renew... Read More about Optimization via Statistical Emulation and Uncertainty Quantification: Hosting Capacity Analysis of Distribution Networks.

Resolving spacetime singularities in flux compactifications & KKLT (2021)
Journal Article
Carta, F., & Moritz, J. (2021). Resolving spacetime singularities in flux compactifications & KKLT. Journal of High Energy Physics, 2021(8), https://doi.org/10.1007/jhep08%282021%29093

In flux compactifications of type IIB string theory with D3 and seven-branes, the negative induced D3 charge localized on seven-branes leads to an apparently pathological profile of the metric sufficiently close to the source. With the volume modulus... Read More about Resolving spacetime singularities in flux compactifications & KKLT.

Evolution of Field Line Helicity in Magnetic Relaxation (2021)
Journal Article
Yeates, A., Russell, A., & Hornig, G. (2021). Evolution of Field Line Helicity in Magnetic Relaxation. Physics of Plasmas, 28(8), Article 082904. https://doi.org/10.1063/5.0059756

Plasma relaxation in the presence of an initially braided magnetic field can lead to self-organization into relaxed states that retain non-trivial magnetic structure. These relaxed states may be in conflict with the linear force-free fields predicted... Read More about Evolution of Field Line Helicity in Magnetic Relaxation.

Survival Signatures for System Reliability (2021)
Book Chapter
Coolen, F. P., & Coolen‐Maturi, T. (2022). Survival Signatures for System Reliability. In Wiley StatsRef: Statistics Reference Online. Wiley. https://doi.org/10.1002/9781118445112.stat08331

In system reliability, the structure function models functioning of a system for given states of its components. The survival signature provides a useful summary of the structure function to aid quantification of system reliability with components of... Read More about Survival Signatures for System Reliability.

Characterisation of homotopy ribbon discs (2021)
Journal Article
Conway, A., & Powell, M. (2021). Characterisation of homotopy ribbon discs. Advances in Mathematics, 391, Article 107960. https://doi.org/10.1016/j.aim.2021.107960

Let Γ be either the infinite cyclic group Z or the Baumslag-Solitar group Zn Z[ 1 2 ]. Let K be a slice knot admitting a slice disc D in the 4-ball whose exterior has fundamental group Γ. We classify the Γ-homotopy ribbon slice discs for K up to topo... Read More about Characterisation of homotopy ribbon discs.

The survival signature for quantifying system reliability: an introductory overview from practical perspective (2021)
Book Chapter
Coolen, F., & Coolen-Maturi, T. (2021). The survival signature for quantifying system reliability: an introductory overview from practical perspective. In C. van Gulijk, & E. Zaitseva (Eds.), Reliability Engineering and Computational Intelligence (23-37). Springer Verlag. https://doi.org/10.1007/978-3-030-74556-1_2

The structure function describes the functioning of a system dependent on the states of its components, and is central to theory of system reliability. The survival signature is a summary of the structure function which is sufficient to derive the sy... Read More about The survival signature for quantifying system reliability: an introductory overview from practical perspective.

Conformal manifolds and 3d mirrors of Argyres-Douglas theories (2021)
Journal Article
Carta, F., Giacomelli, S., Mekareeya, N., & Mininno, A. (2021). Conformal manifolds and 3d mirrors of Argyres-Douglas theories. Journal of High Energy Physics, 2021(8), https://doi.org/10.1007/jhep08%282021%29015

Argyres-Douglas theories constitute an important class of superconformal field theories in 4d. The main focus of this paper is on two infinite families of such theories, known as Dbp(SO(2N)) and (Am, Dn). We analyze in depth their conformal manifolds... Read More about Conformal manifolds and 3d mirrors of Argyres-Douglas theories.

Angular asymptotics for random walks (2021)
Book Chapter
López Hernández, A., & Wade, A. R. (2021). Angular asymptotics for random walks. In L. Chaumont, & A. E. Kyprianou (Eds.), A Lifetime of Excursions Through Random Walks and Lévy Processes (315-342). Springer Verlag. https://doi.org/10.1007/978-3-030-83309-1_17

We study the set of directions asymptotically explored by a spatially homogeneous random walk in d-dimensional Euclidean space. We survey some pertinent results of Kesten and Erickson, make some further observations, and present some examples. We als... Read More about Angular asymptotics for random walks.

Seiberg-like dualities for orthogonal and symplectic 3d $$ \mathcal{N} $$ = 2 gauge theories with boundaries (2021)
Journal Article
Okazaki, T., & Smith, D. J. (2021). Seiberg-like dualities for orthogonal and symplectic 3d $$ \mathcal{N} $$ = 2 gauge theories with boundaries. Journal of High Energy Physics, 2021(7), Article 231. https://doi.org/10.1007/jhep07%282021%29231

We propose dualities of N = (0, 2) supersymmetric boundary conditions for 3d N = 2 gauge theories with orthogonal and symplectic gauge groups. We show that the boundary ’t Hooft anomalies and half-indices perfectly match for each pair of the proposed... Read More about Seiberg-like dualities for orthogonal and symplectic 3d $$ \mathcal{N} $$ = 2 gauge theories with boundaries.