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On the ergodicity of interacting particle systems under number rigidity (2023)
Journal Article
Suzuki, K. (2024). On the ergodicity of interacting particle systems under number rigidity. Probability Theory and Related Fields, 188(1-2), 583-623. https://doi.org/10.1007/s00440-023-01243-3

In this paper, we provide relations among the following properties: the tail triviality of a probability measure μ on the configuration space Υ; the finiteness of a suitable L2-transportation-type distance d¯Υ; the irreducibility of local μ-symmetric... Read More about On the ergodicity of interacting particle systems under number rigidity.

The MacWilliams Identity for the Skew Rank Metric (2023)
Journal Article
Friedlander, I., Bouganis, A., & Gadouleau, M. (online). 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.

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.

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., Drikvandi, R., Gould, L., Leis, M., Maheswaran, H., Neves, A. L., & Darzi, A. (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.

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.