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Smoothing of the higher-order stokes phenomenon (2025)
Journal Article
Howls, C. J., King, J. R., Nemes, G., & Olde Daalhuis, A. B. (2025). Smoothing of the higher-order stokes phenomenon. Studies in Applied Mathematics, 154(2), Article e70008. https://doi.org/10.1111/sapm.70008

For over a century, the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989, Berry demonstrated it is possible to smooth this discontinuity in broad classes of problems with the prefa... Read More about Smoothing of the higher-order stokes phenomenon.

Local h∗-polynomials for one-row Hermite normal form simplices (2025)
Journal Article
Bajo, E., Braun, B., Codenotti, G., Hofscheier, J., & Vindas-Meléndez, A. R. (2025). Local h∗-polynomials for one-row Hermite normal form simplices. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, https://doi.org/10.1007/s13366-025-00784-z

The local h∗-polynomial of a lattice polytope is an important invariant arising in Ehrhart theory. Our focus is on lattice simplices presented in Hermite normal form with a single non-trivial row. We prove that when the off-diagonal entries are fixed... Read More about Local h∗-polynomials for one-row Hermite normal form simplices.

Probing hidden topology with quantum detectors (2025)
Journal Article
Bhattacharya, D., Louko, J., & Mann, R. B. (2025). Probing hidden topology with quantum detectors. Physical Review D, 111(4), Article 045005. https://doi.org/10.1103/physrevd.111.045005

We consider the transition rate of a static Unruh-DeWitt detector in two (2+1)-dimensional black hole spacetimes that are isometric to the static Bañados-Teitelboim-Zanelli black hole outside the horizon but have no asymptotically locally anti-de Sit... Read More about Probing hidden topology with quantum detectors.

Lorentzian bordisms in algebraic quantum field theory (2025)
Journal Article
Bunk, S., MacManus, J., & Schenkel, A. (2025). Lorentzian bordisms in algebraic quantum field theory. Letters in Mathematical Physics, 115(1), Article 16. https://doi.org/10.1007/s11005-025-01906-3

It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that globally hyperbolic Lorentzian bordisms between Cau... Read More about Lorentzian bordisms in algebraic quantum field theory.

The number of individuals alive in a branching process given only times of deaths (2025)
Journal Article
Ball, F., & Neal, P. (2025). The number of individuals alive in a branching process given only times of deaths. Advances in Applied Probability, 1-36. https://doi.org/10.1017/apr.2024.65

The study of many population growth models is complicated by only partial observation of the underlying stochastic process driving the model. For example, in an epidemic outbreak we might know when individuals show symptoms to a disease and are remov... Read More about The number of individuals alive in a branching process given only times of deaths.

IonBench: a benchmark of optimisation strategies for mathematical models of ion channel currents (2025)
Preprint / Working Paper
Owen, M. J., & Mirams, G. R. IonBench: a benchmark of optimisation strategies for mathematical models of ion channel currents

Ion channel models present many challenging optimisation problems. These include unidentifiable parame- ters, noisy data, unobserved states, and a combination of both fast and slow timescales. This can make it difficult to choose a suitable optimisat... Read More about IonBench: a benchmark of optimisation strategies for mathematical models of ion channel currents.

Fast likelihood calculations for emerging epidemics (2025)
Journal Article
Ball, F., & Neal, P. (2025). Fast likelihood calculations for emerging epidemics. Statistical Inference for Stochastic Processes, 28, Article 5. https://doi.org/10.1007/s11203-024-09323-4

Statistical inference for epidemic outbreaks is often complicated by only partial observation of the epidemic process. Recently in Ball and Neal (Adv Appl Probab 55:895-926, 2023) the distribution of the number of infectives (individuals alive) given... Read More about Fast likelihood calculations for emerging epidemics.

Scalable Method for Bayesian Experimental Design without Integrating over Posterior Distribution (2025)
Journal Article
Hoang, V., Espath, L., Krumscheid, S., & Tempone, R. (2025). Scalable Method for Bayesian Experimental Design without Integrating over Posterior Distribution. SIAM/ASA Journal on Uncertainty Quantification, 13(1), 114-139. https://doi.org/10.1137/23m1603364

We address the computational efficiency of finding the A-optimal Bayesian experimental design, where the observation map is based on partial differential equations and thus computationally expensive to evaluate. A-optimality is a widely used and easi... Read More about Scalable Method for Bayesian Experimental Design without Integrating over Posterior Distribution.