All Outputs (1761)

Smoothing of the higher-order stokes phenomenon (2025)
Journal Article
Howls, C. J., King, J. R., Nemes, G., & Daalhuis, A. B. O. (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.

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 ()-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 Sitter... 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, 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.

Floating mandalas (2025)
Journal Article
Farcot, E. (2025). Floating mandalas. Journal of Mathematics and the Arts, https://doi.org/10.1080/17513472.2025.2457917

This article considers geometric patterns arising from infinite series of concentric circles, whose radii converge to zero. As an archetype of such design, the initial focus is on level curves of the surface given by z = sin (1/r) in cylindrical pola... Read More about Floating mandalas.

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

Sampling from mixture distributions based on regime-switching diffusions (2025)
Journal Article
Tretyakov, M. V. (in press). Sampling from mixture distributions based on regime-switching diffusions. SIAM Journal on Scientific Computing,

It is proposed to use stochastic differential equations with state-dependent switching 4 rates (SDEwS) for sampling from finite mixture distributions. An Euler scheme with constant time 5 step for SDEwS is considered. It is shown that the scheme conv... Read More about Sampling from mixture distributions based on regime-switching diffusions.

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.

Differential graded cell 2-representations (2025)
Journal Article
Laugwitz, R., & Miemietz, V. (in press). Differential graded cell 2-representations. Arkiv för Matematik,

This article develops a theory of cell combinatorics and cell 2-representations for differential graded 2-categories. We introduce two types of partial preorders, called the strong and weak preorder. We then analyse and compare them. The weak preorde... Read More about Differential graded cell 2-representations.

In vivo calcium imaging reveals directional sensitivity of C-low threshold mechanoreceptors (2025)
Journal Article
Semizoglou, E., Lo Re, L., Middleton, S. J., Perez‐Sanchez, J., Tufarelli, T., Bennett, D. L., & Chisholm, K. I. (2025). In vivo calcium imaging reveals directional sensitivity of C-low threshold mechanoreceptors. Journal of Physiology, https://doi.org/10.1113/jp286631

C-low threshold mechanoreceptors (C-LTMRs) in animals (termed C-tactile (CT) fibres in humans) are a subgroup of C-fibre primary afferents, which innervate hairy skin and respond to low-threshold punctate indentations and brush stimuli. These afferen... Read More about In vivo calcium imaging reveals directional sensitivity of C-low threshold mechanoreceptors.

On a matrix KdV6 equation (2025)
Journal Article
Gordoa, P. R., Pickering, A., & Wattis, J. A. (2025). On a matrix KdV6 equation. Communications in Nonlinear Science and Numerical Simulation, 143, Article 108605. https://doi.org/10.1016/j.cnsns.2025.108605

The so-called KdV6 equation has, since its discovery, been the subject of much interest. In this paper we present a matrix version of this equation. On the one hand, we use the Darboux transformation to derive its Bäcklund transformation and a nonlin... Read More about On a matrix KdV6 equation.

Connecting the circular and drifted Rindler Unruh effects (2025)
Journal Article
Parry, L. J., & Louko, J. (2025). Connecting the circular and drifted Rindler Unruh effects. Physical Review D, 111(2), Article 025012. https://doi.org/10.1103/physrevd.111.025012

In Minkowski spacetime quantum field theory, each stationary motion is associated with an effective, energy-dependent notion of temperature, which generalizes the familiar Unruh temperature of uniform linear acceleration. Motivated by current experim... Read More about Connecting the circular and drifted Rindler Unruh effects.

On the torsion of a shaft made of polar isotropic or fibre reinforced linearly elastic material (2025)
Journal Article
Soldatos, K. (in press). On the torsion of a shaft made of polar isotropic or fibre reinforced linearly elastic material. Mathematics and Mechanics of Solids,

The fundamental solution of the linear elasticity problem of a non-polar isotropic shaft subjected to an externally applied torsional couple is extended to embrace effects of structural behaviour observed when the shaft is made of either polar isotro... Read More about On the torsion of a shaft made of polar isotropic or fibre reinforced linearly elastic material.

Local quantum detection of the cosmological expansion: Unruh-DeWitt detectors in spatially compact Milne cosmology (2025)
Journal Article
Wilkinson, A. S., & Louko, J. (2025). Local quantum detection of the cosmological expansion: Unruh-DeWitt detectors in spatially compact Milne cosmology. Physical Review D, 111(2), Article 025008. https://doi.org/10.1103/physrevd.111.025008

We analyze the excitations and deexcitations of an inertial Unruh-DeWitt detector in the (1+1)-dimensional expanding Milne cosmology with compact spatial sections, coupled to a real massless scalar field with either untwisted or twisted boundary cond... Read More about Local quantum detection of the cosmological expansion: Unruh-DeWitt detectors in spatially compact Milne cosmology.

A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform (2025)
Journal Article
Long, T., Barnett, R., Jefferson-Loveday, R., Stabile, G., & Icardi, M. (2025). A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform. Advances in Computational Mathematics, 51(1), https://doi.org/10.1007/s10444-024-10209-5

Problems with dominant advection, discontinuities, travelling features, or shape variations are widespread in computational mechanics. However, classical linear model reduction and interpolation methods typically fail to reproduce even relatively sma... Read More about A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform.

Passive Monitoring of Parkinson Tremor in Daily Life: A Prototypical Network Approach (2025)
Journal Article
Evers, L. J. W., Raykov, Y. P., Heskes, T. M., Krijthe, J. H., Bloem, B. R., & Little, M. A. (2025). Passive Monitoring of Parkinson Tremor in Daily Life: A Prototypical Network Approach. Sensors, 25(2), Article 366. https://doi.org/10.3390/s25020366

Objective and continuous monitoring of Parkinson’s disease (PD) tremor in free-living conditions could benefit both individual patient care and clinical trials, by overcoming the snapshot nature of clinical assessments. To enable robust detection of... Read More about Passive Monitoring of Parkinson Tremor in Daily Life: A Prototypical Network Approach.

Weak Sequential Completeness of Uniform Algebras (2024)
Journal Article
Feinstein, J. F., & Izzo, A. J. (2024). Weak Sequential Completeness of Uniform Algebras. Bulletin of the Irish Mathematical Society, 92(Winter), 27-32. https://doi.org/10.33232/bims.0092.27.32

We give a simple, elementary proof that a uniform algebra is weakly
sequentially complete if and only if it is finite-dimensional.

A Shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition (2024)
Journal Article
Fan, Y., Billingham, J., & van der Zee, K. (2024). A Shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition. SIAM Journal on Scientific Computing, 46(6), A3599-A3627. https://doi.org/10.1137/23M1590263

We develop a shape-Newton method for solving generic free-boundary problems where one of the free-boundary conditions is governed by the nonlinear Bernoulli equation. The method is a Newton-like scheme that employs shape derivatives of the governing... Read More about A Shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition.

Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty (2024)
Journal Article
Bartuska, A., Espath, L., & Tempone, R. (2025). Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty. Statistics and Computing, 35(1), Article 12. https://doi.org/10.1007/s11222-024-10544-z

Finding the optimal design of experiments in the Bayesian setting typically requires estimation and optimization of the expected information gain functional. This functional consists of one outer and one inner integral, separated by the logarithm fun... Read More about Laplace-based strategies for Bayesian optimal experimental design with nuisance uncertainty.

Inverse Physics-Informed Neural Networks for transport models in porous materials (2024)
Journal Article
Berardi, M., Difonzo, F. V., & Icardi, M. (2025). Inverse Physics-Informed Neural Networks for transport models in porous materials. Computer Methods in Applied Mechanics and Engineering, 435, Article 117628. https://doi.org/10.1016/j.cma.2024.117628

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations by including in the cost function to minimise during training the... Read More about Inverse Physics-Informed Neural Networks for transport models in porous materials.

Probabilistic size-and-shape functional mixed models (2024)
Presentation / Conference Contribution
Wang, F., Bharath, K., Chkrebtii, O., & Kurtek, S. (2024, December). Probabilistic size-and-shape functional mixed models. Presented at Thirty-Eighth Annual Conference on Neural Information Processing Systems, Vancouver, Canada

The reliable recovery and uncertainty quantification of a fixed effect function µ in a functional mixed model, for modelling population-and object-level variability in noisily observed functional data, is a notoriously challenging task: variations al... Read More about Probabilistic size-and-shape functional mixed models.