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Ambient temperature versus ambient acceleration in the circular motion Unruh effect (2024)
Journal Article
Bunney, C. R., Parry, L., Perche, T. R., & Louko, J. (2024). Ambient temperature versus ambient acceleration in the circular motion Unruh effect. Physical Review D, 109(6), Article 065001. https://doi.org/10.1103/physrevd.109.065001

It is well known that the experience of a linearly accelerated observer with acceleration a, interacting with a massless scalar field in its vacuum state in 3+1 Minkowski spacetime, is identical to that of a static observer interacting with a massles... Read More about Ambient temperature versus ambient acceleration in the circular motion Unruh effect.

Stability analysis of electrical microgrids and their control systems (2024)
Journal Article
Smith, O., Coombes, S., & O'Dea, R. D. (2024). Stability analysis of electrical microgrids and their control systems. PRX Energy, 3(1), Article 013011. https://doi.org/10.1103/PRXEnergy.3.013011

The drive towards renewable energy generation is causing fundamental changes in both the structure and dynamics of power grids. Their topology is becoming increasingly decentralised due to distributed, embedded generation, and the emergence of microg... Read More about Stability analysis of electrical microgrids and their control systems.

Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory (2024)
Journal Article
Benini, M., Musante, G., & Schenkel, A. (2024). Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory. Letters in Mathematical Physics, 114(1), Article 36. https://doi.org/10.1007/s11005-024-01784-1

We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued in cochain complexes, of a natural collection of free BV theories on the category of m-dimensional gl... Read More about Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory.

Spherical collapse in scalar-Gauss-Bonnet gravity: Taming ill-posedness with a Ricci coupling (2024)
Journal Article
Thaalba, F., Bezares, M., Franchini, N., & Sotiriou, T. P. (2024). Spherical collapse in scalar-Gauss-Bonnet gravity: Taming ill-posedness with a Ricci coupling. Physical Review D, 109(4), L041503. https://doi.org/10.1103/physrevd.109.l041503

We study spherical collapse of a scalar cloud in scalar-Gauss-Bonnet gravity—a theory in which black holes can develop scalar hair if they are in a certain mass range. We show that an additional quadratic coupling of the scalar field to the Ricci sca... Read More about Spherical collapse in scalar-Gauss-Bonnet gravity: Taming ill-posedness with a Ricci coupling.

On the splay deformation mode of a polar linearly elastic bar stretched by its own weight (2024)
Journal Article
Soldatos, K. P. (2024). On the splay deformation mode of a polar linearly elastic bar stretched by its own weight. Mechanics of Advanced Materials and Structures, https://doi.org/10.1080/15376494.2024.2313151

This communication considers the fundamental linear elasticity problem of a prismatic bar, or plate, stretched by its own weight and examines the impact of its classical solution in the regime of isotropic and anisotropic polar material elasticity. A... Read More about On the splay deformation mode of a polar linearly elastic bar stretched by its own weight.

Refined linearly anisotropic couple-stress elasticity (2024)
Journal Article
Soldatos, K. P. (2024). Refined linearly anisotropic couple-stress elasticity. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865231222898

A recently developed, refined version of the conventional linear couple-stress theory of isotropic elasticity is extended to include the influence of anisotropic material effects. With this development, the implied refined theory (1) retains ability... Read More about Refined linearly anisotropic couple-stress elasticity.

Incompatibility of gravity theories with auxiliary fields with the standard model (2024)
Journal Article
Ventagli, G., Pani, P., & Sotiriou, T. P. (2024). Incompatibility of gravity theories with auxiliary fields with the standard model. Physical Review D, 109(4), Article 044002. https://doi.org/10.1103/physrevd.109.044002

Theories of gravity with auxiliary fields are of particular interest since they are able to circumvent Lovelock’s theorem while avoiding the introduction of new degrees of freedom. This type of theories introduces derivatives of the stress-energy ten... Read More about Incompatibility of gravity theories with auxiliary fields with the standard model.

Relativistic Perturbation Theory for Black-Hole Boson Clouds (2024)
Journal Article
Cannizzaro, E., Sberna, L., Green, S. R., & Hollands, S. (2024). Relativistic Perturbation Theory for Black-Hole Boson Clouds. Physical Review Letters, 132(5), Article 051401. https://doi.org/10.1103/PhysRevLett.132.051401

We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations.... Read More about Relativistic Perturbation Theory for Black-Hole Boson Clouds.

Insights into oscillator network dynamics using a phase-isostable framework (2024)
Journal Article
Nicks, R., Allen, R., & Coombes, S. (2024). Insights into oscillator network dynamics using a phase-isostable framework. Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(1), Article 013141. https://doi.org/10.1063/5.0179430

Networks of coupled nonlinear oscillators can display a wide range of emergent behaviors under the variation of the strength of the coupling. Network equations for pairs of coupled oscillators where the dynamics of each node is described by the evolu... Read More about Insights into oscillator network dynamics using a phase-isostable framework.

Vacua in locally de Sitter cosmologies, and how to distinguish them (2024)
Journal Article
Toussaint, V., & Louko, J. (2024). Vacua in locally de Sitter cosmologies, and how to distinguish them. Physical Review D, 109(2), Article 025007. https://doi.org/10.1103/physrevd.109.025007

(1 + 1)-dimensional locally de Sitter–Friedmann-Robertson-Walker cosmologies with compact spatial sections allow cosh, sinh, and exponential evolution laws, each with a freely specifiable spatial circumference parameter, and the value of this paramet... Read More about Vacua in locally de Sitter cosmologies, and how to distinguish them.

A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness (2024)
Journal Article
Boschman, A., Espath, L., & van der Zee, K. G. (2024). A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness. Physica D: Nonlinear Phenomena, 460, Article 134055. https://doi.org/10.1016/j.physd.2024.134055

In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surface materials undergoing deformation and phase segregation. To this end, we devise a principle of virtual powers with a bulk-surface dynamics,... Read More about A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness.

Understanding the effect of white matter delays on large scale brain synchrony (2024)
Journal Article
Şaylı, M., & Coombes, S. (2024). Understanding the effect of white matter delays on large scale brain synchrony. Communications in Nonlinear Science and Numerical Simulation, 131, Article 107803. https://doi.org/10.1016/j.cnsns.2023.107803

The presence of myelin is a powerful structural factor that controls the conduction speed of mammalian axons. It is the combination of local synaptic activity and non-local delayed axonal interactions within the cortex that is believed to be the majo... Read More about Understanding the effect of white matter delays on large scale brain synchrony.

Polytopes and machine learning (2023)
Journal Article
Bao, J., He, Y., Hirst, E., Hofscheier, J., Kasprzyk, A., & Majumder, S. (2023). Polytopes and machine learning. International Journal of Data Science in the Mathematical Sciences, 1(2), 181-211. https://doi.org/10.1142/S281093922350003X

We introduce machine learning methodology to the study of lattice polytopes. With supervised learning techniques, we predict standard properties such as volume, dual volume, reflexivity, etc, with accuracies up to 100%. We focus on 2d polygons and 3d... Read More about Polytopes and machine learning.

Planar diagrammatics of self-adjoint functors and recognizable tree series (2023)
Journal Article
Khovanov, M., & Laugwitz, R. (2023). Planar diagrammatics of self-adjoint functors and recognizable tree series. Pure and Applied Mathematics Quarterly, 19(5), 2409-2499. https://doi.org/10.4310/pamq.2023.v19.n5.a4

A pair of biadjoint functors between two categories produces a collection of elements in the centers of these categories, one for each isotopy class of nested circles in the plane. If the centers are equipped with a trace map into the ground field, t... Read More about Planar diagrammatics of self-adjoint functors and recognizable tree series.

The Rapid Rise of Generative AI: Assessing risks to safety and security (2023)
Report
Janjeva, A., Harris, A., Mercer, S., Kasprzyk, A., & Gausen, A. (2023). The Rapid Rise of Generative AI: Assessing risks to safety and security. Alan Turing Institute

This CETaS Research Report presents the findings from a major project exploring the implications of generative AI for national security. It is based on extensive engagement with more than 50 experts across government, academia, industry, and civil so... Read More about The Rapid Rise of Generative AI: Assessing risks to safety and security.

A caustic terminating at an inflection point (2023)
Journal Article
Ockendon, J. R., Ockendon, H., Tew, R. H., Hewett, D. P., & Gibbs, A. (2024). A caustic terminating at an inflection point. Wave Motion, 125, Article 103257. https://doi.org/10.1016/j.wavemoti.2023.103257

We present an asymptotic and numerical study of the evolution of an incoming wavefield which has a caustic close to a curve with an inflection point. Our results reveal the emergence of a wavefield which resembles that of a shadow boundary but has a... Read More about A caustic terminating at an inflection point.

Model-based evaluation of admission screening strategies for the detection and control of carbapenemase-producing Enterobacterales in the English hospital setting (2023)
Journal Article
Pople, D., Kypraios, T., Donker, T., Stoesser, N., Seale, A. C., George, R., …Robotham, J. (2023). Model-based evaluation of admission screening strategies for the detection and control of carbapenemase-producing Enterobacterales in the English hospital setting. BMC Medicine, 21(1), Article 492. https://doi.org/10.1186/s12916-023-03007-1

Background Globally, detections of carbapenemase-producing Enterobacterales (CPE) colonisations and infections are increasing. The spread of these highly resistant bacteria poses a serious threat to public health. However, understanding of CPE trans... Read More about Model-based evaluation of admission screening strategies for the detection and control of carbapenemase-producing Enterobacterales in the English hospital setting.

Flow Matching for Scalable Simulation-Based Inference (2023)
Presentation / Conference
Wildberger, J., Dax, M., Green, S., Buchholz, S., Macke, J., & Schölkopf, B. (2023, December). Flow Matching for Scalable Simulation-Based Inference. Poster presented at Thirty-seventh Conference on Neural Information Processing Systems (NeurIPS 2023), New Orleans, USA

Neural posterior estimation methods based on discrete normalizing flows have become established tools for simulation-based inference (SBI), but scaling them to high-dimensional problems can be challenging. Building on recent advances in generative mo... Read More about Flow Matching for Scalable Simulation-Based Inference.

Towards Inferring Network Properties from Epidemic Data (2023)
Journal Article
Kiss, I. Z., Berthouze, L., & KhudaBukhsh, W. R. (2024). Towards Inferring Network Properties from Epidemic Data. Bulletin of Mathematical Biology, 86(1), Article 6. https://doi.org/10.1007/s11538-023-01235-3

Epidemic propagation on networks represents an important departure from traditional mass-action models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using mean-field... Read More about Towards Inferring Network Properties from Epidemic Data.

On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data (2023)
Journal Article
Chada, N. K., Iglesias, M., Lu, S., & Werner, F. (2023). On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data. SIAM Journal on Scientific Computing, 45(6), A3020-A3046. https://doi.org/10.1137/22m1512442

For numerous parameter and state estimation problems, assimilating new data as they become available can help produce accurate and fast inference of unknown quantities. While most existing algorithms for solving those kind of ill-posed inverse prob... Read More about On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data.