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Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity (2023)
Journal Article
Menshikov, M. V., Mijatović, A., & Wade, A. R. (2023). Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 59(4), 1813-1843. https://doi.org/10.1214/22-AIHP1309

For a multidimensional driftless diffusion in an unbounded, smooth, sub-linear generalized parabolic domain, with oblique reflection from the boundary, we give natural conditions under which either explosion occurs, if the domain narrows sufficiently... Read More about Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity.

The MacWilliams Identity for the Skew Rank Metric (2023)
Journal Article
Friedlander, I., Bouganis, A., & Gadouleau, M. (2023). The MacWilliams Identity for the Skew Rank Metric. Advances in Mathematics of Communications, https://doi.org/10.3934/amc.2023045

The weight distribution of an error correcting code is a crucial statistic in determining its performance. One key tool for relating the weight of a code to that of it's dual is the MacWilliams Identity, first developed for the Hamming metric. This i... Read More about The MacWilliams Identity for the Skew Rank Metric.

Exploring the relationship between government stringency and preventative social behaviours during the COVID-19 pandemic in the United Kingdom. (2023)
Journal Article
Al-Zubaidy, N., Fernandez Crespo, R., Jones, S., Gould, L., Leis, M., Maheswaran, H., …Drikvandi, R. (2023). Exploring the relationship between government stringency and preventative social behaviours during the COVID-19 pandemic in the United Kingdom. Health Informatics Journal, 29(4), Article 14604582231215867. https://doi.org/10.1177/14604582231215867

We constructed a preventive social behaviours (PSB) Index using survey questions that were aligned with WHO recommendations, and used linear regression to assess the impact of reported COVID-19 deaths (RCD), people's confidence of government handling... Read More about Exploring the relationship between government stringency and preventative social behaviours during the COVID-19 pandemic in the United Kingdom..

Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium (2023)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2024). Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium. Transport in Porous Media, 151(1), 193-211. https://doi.org/10.1007/s11242-023-02038-9

We analyse a theory for thermal convection in a Darcy porous material where the skeletal structure is one with macropores, but also cracks or fissures, giving rise to a series of micropores. This is thus thermal convection in a bidisperse, or double... Read More about Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium.

3d exceptional gauge theories and boundary confinement (2023)
Journal Article
Okazaki, T., & Smith, D. J. (2023). 3d exceptional gauge theories and boundary confinement. Journal of High Energy Physics, 2023(11), Article 199. https://doi.org/10.1007/jhep11%282023%29199

We find boundary confining dualities of 3d N = 2 supersymmetric gauge theories with exceptional gauge groups. The half-indices which enumerate the boundary BPS local operators in the presence of Neumann and Dirichlet boundary conditions for gauge fie... Read More about 3d exceptional gauge theories and boundary confinement.

Pattern Formation in Mesic Savannas (2023)
Journal Article
Patterson, D., Levin, S., Staver, A. C., & Touboul, J. (2024). Pattern Formation in Mesic Savannas. Bulletin of Mathematical Biology, 86(1), https://doi.org/10.1007/s11538-023-01231-7

We analyze a spatially extended version of a well-known model of forest-savanna dynamics, which presents as a system of nonlinear partial integro-differential equations, and study necessary conditions for pattern-forming bifurcations. Homogeneous sol... Read More about Pattern Formation in Mesic Savannas.

The SKMT Algorithm: A method for assessing and comparing underlying protein entanglement (2023)
Journal Article
Bale, A., Rambo, R., & Prior, C. (2023). The SKMT Algorithm: A method for assessing and comparing underlying protein entanglement. PLoS Computational Biology, 19(11), Article e1011248. https://doi.org/10.1371/journal.pcbi.1011248

We present fast and simple-to-implement measures of the entanglement of protein tertiary structures which are appropriate for highly flexible structure comparison. These are performed using the SKMT algorithm, a novel method of smoothing the Cα backb... Read More about The SKMT Algorithm: A method for assessing and comparing underlying protein entanglement.

Emulating long-term weather-driven transportation earthworks deterioration models to support asset management (2023)
Journal Article
Helm, P., Svalova, A., Morsy, A., Rouainia, M., Smith, A., El-Hamalawi, A., …Glendinning, S. (2024). Emulating long-term weather-driven transportation earthworks deterioration models to support asset management. Transportation Geotechnics, 44, Article 101155. https://doi.org/10.1016/j.trgeo.2023.101155

The deterioration of transport infrastructure earthworks is a global problem, with negative impacts for infrastructure resilience, becoming of increasing significance as existing infrastructure ages. Key mechanisms which affect this deterioration inc... Read More about Emulating long-term weather-driven transportation earthworks deterioration models to support asset management.

Deciphering the Pre–solar-storm Features of the 2017 September Storm From Global and Local Dynamics (2023)
Journal Article
Raphaldini, B., Dikpati, M., Norton, A. A., Teruya, A. S. W., McIntosh, S. W., Prior, C. B., & MacTaggart, D. (2023). Deciphering the Pre–solar-storm Features of the 2017 September Storm From Global and Local Dynamics. Astrophysical Journal, 958(2), Article 175. https://doi.org/10.3847/1538-4357/acfef0

We investigate whether global toroid patterns and the local magnetic field topology of solar active region (AR) 12673 together can hindcast the occurrence of the biggest X-flares of solar cycle (SC)-24. Magnetic toroid patterns (narrow latitude belts... Read More about Deciphering the Pre–solar-storm Features of the 2017 September Storm From Global and Local Dynamics.

Spatial variation in the sensitivity of freshwater macroinvertebrate assemblages to chemical stressors (2023)
Journal Article
Liang, R., Sinclair, T. M., Craig, P. S., & Maltby, L. (2024). Spatial variation in the sensitivity of freshwater macroinvertebrate assemblages to chemical stressors. Water Research, 248, Article 120854. https://doi.org/10.1016/j.watres.2023.120854


Assessing spatial variation in the chemical sensitivity of natural assemblages will enhance ecological relevance and reduce uncertainty in ecological risk assessments and the derivation of environmental quality standards (EQSs). Ho... Read More about Spatial variation in the sensitivity of freshwater macroinvertebrate assemblages to chemical stressors.

Two string theory flavours of generalised Eisenstein series (2023)
Journal Article
Dorigoni, D., & Treilis, R. (2023). Two string theory flavours of generalised Eisenstein series. Journal of High Energy Physics, 2023(11), Article 102. https://doi.org/10.1007/jhep11%282023%29102

Generalised Eisenstein series are non-holomorphic modular invariant functions of a complex variable, τ, subject to a particular inhomogeneous Laplace eigenvalue equation on the hyperbolic upper-half τ-plane. Two infinite classes of such functions ari... Read More about Two string theory flavours of generalised Eisenstein series.

A càdlàg rough path foundation for robust finance (2023)
Journal Article
Allan, A. L., Liu, C., & Prömel, D. J. (2024). A càdlàg rough path foundation for robust finance. Finance and Stochastics, 28(1), 215-257. https://doi.org/10.1007/s00780-023-00522-0

Using rough path theory, we provide a pathwise foundation for stochastic Itô integration which covers most commonly applied trading strategies and mathematical models of financial markets, including those under Knightian uncertainty. To this end, we... Read More about A càdlàg rough path foundation for robust finance.

The D 3 2 spin chain and its finite-size spectrum (2023)
Journal Article
Frahm, H., Gehrmann, S., Nepomechie, R. I., & Retore, A. L. (2023). The D 3 2 spin chain and its finite-size spectrum. Journal of High Energy Physics, 2023(11), Article 95. https://doi.org/10.1007/jhep11%282023%29095

Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic D32 spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regim... Read More about The D 3 2 spin chain and its finite-size spectrum.

Quartic surfaces up to volume preserving equivalence (2023)
Journal Article
Ducat, T. (2024). Quartic surfaces up to volume preserving equivalence. Selecta Mathematica (New Series), 30(1), Article 2. https://doi.org/10.1007/s00029-023-00890-7

We study log Calabi–Yau pairs of the form (P3, Δ), where Δ is a quartic surface, and classify all such pairs of coregularity less than or equal to one, up to volume preserving equivalence. In particular, if (P3, Δ) is a maximal log Calabi–Yau pair th... Read More about Quartic surfaces up to volume preserving equivalence.

Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction (2023)
Journal Article
Malyshev, V., Menshikov, M. V., Popov, S., & Wade, A. (in press). Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction. Journal of Statistical Physics, 190(11), Article 184. https://doi.org/10.1007/s10955-023-03190-8

We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction which suppresses ju... Read More about Dynamics of Finite Inhomogeneous Particle Systems with Exclusion Interaction.

Strong transience for one-dimensional Markov chains with asymptotically zero drifts (2023)
Journal Article
Lo, C. H., Menshikov, M. V., & Wade, A. R. (2024). Strong transience for one-dimensional Markov chains with asymptotically zero drifts. Stochastic Processes and their Applications, 170, Article 104260. https://doi.org/10.1016/j.spa.2023.104260

For near-critical, transient Markov chains on the non-negative integers in the Lamperti regime, where the mean drift at x decays as 1 / x as x → ∞ , we quantify degree of transience via existence of moments for conditional retu... Read More about Strong transience for one-dimensional Markov chains with asymptotically zero drifts.

Global structures from the infrared (2023)
Journal Article
Del Zotto, M., & García Etxebarria, I. (2023). Global structures from the infrared. Journal of High Energy Physics, 2023(11), Article 58. https://doi.org/10.1007/jhep11%282023%29058

Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory... Read More about Global structures from the infrared.