Outputs (1802)

An introduction to p-adic L-functions (2025)
Journal Article
Rodrigues Jacinto, J., & Williams, C. (2025). An introduction to p-adic L-functions. Essential Number Theory, 4(1), 101–216. https://doi.org/10.2140/ent.2025.4.101

These expository notes introduce p-adic L-functions and the foundations of Iwasawa theory. We focus on Kubota Leopoldt's p-adic analogue of the Riemann zeta function, which we describe in three di erent ways. We rst present a measure-theoretic (anal... Read More about An introduction to p-adic L-functions.

Constraining accretion physics with gravitational waves from eccentric extreme-mass-ratio inspirals (2025)
Journal Article
Duque, F., Kejriwal, S., Sberna, L., Speri, L., & Gair, J. (2025). Constraining accretion physics with gravitational waves from eccentric extreme-mass-ratio inspirals. Physical Review D, 111(8), Article 084006. https://doi.org/10.1103/physrevd.111.084006

We study the evolution of eccentric, equatorial extreme-mass-ratio inspirals (EMRIs) immersed in the accretion disks of active galactic nuclei. We find that single gravitational-wave observations from these systems could provide measurements with ∼1... Read More about Constraining accretion physics with gravitational waves from eccentric extreme-mass-ratio inspirals.

Well-posedness and approximation of reflected McKean-Vlasov SDEs with applications (2025)
Journal Article
Hinds, P. D., Sharma, A., & Tretyakov, M. V. (in press). Well-posedness and approximation of reflected McKean-Vlasov SDEs with applications. Mathematical Models and Methods in Applied Sciences,

In this paper, we establish well-posedness of reflected McKean-Vlasov SDEs and their particle approximations in smooth non-convex domains. We prove convergence of the interacting particle system to the corresponding mean-field limit with the optimal... Read More about Well-posedness and approximation of reflected McKean-Vlasov SDEs with applications.

Uncertainty mapping and probabilistic tractography using Simulation-based Inference in diffusion MRI: A comparison with classical Bayes (2025)
Journal Article
Manzano-Patron, J., Deistler, M., Schröder, C., Kypraios, T., Gonçalves, P. J., Macke, J. H., & Sotiropoulos, S. N. (in press). Uncertainty mapping and probabilistic tractography using Simulation-based Inference in diffusion MRI: A comparison with classical Bayes. Medical Image Analysis,

Simulation-Based Inference (SBI) has recently emerged as a powerful framework for Bayesian inference: Neural networks are trained on simulations from a forward model, and learn to rapidly estimate posterior distributions. We here present an SBI frame... Read More about Uncertainty mapping and probabilistic tractography using Simulation-based Inference in diffusion MRI: A comparison with classical Bayes.

A classification of the division algebras that are isotopic to a cyclic Galois field extension (2025)
Journal Article
Pumpluen, S. (in press). A classification of the division algebras that are isotopic to a cyclic Galois field extension. Israel Journal of Mathematics,

We classify all division algebras that are principal Albert isotopes of a cyclic Galois field extension of degree n>2 up to isomorphisms.
We achieve a ``tight'' classification when the cyclic Galois field extension is cubic. The classification is... Read More about A classification of the division algebras that are isotopic to a cyclic Galois field extension.

Pure connection formalism and Plebanski’s second heavenly equation (2025)
Journal Article
Krasnov, K., & Lipstein, A. (2025). Pure connection formalism and Plebanski’s second heavenly equation. Journal of High Energy Physics, 2025(3), Article 152. https://doi.org/10.1007/jhep03%282025%29152

Plebanski’s second heavenly equation reduces the problem of finding a self-dual Einstein metric to solving a non-linear second-order PDE for a single function. Plebanski’s original equation is for self-dual metrics obtained as perturbations of the fl... Read More about Pure connection formalism and Plebanski’s second heavenly equation.

Comparative judgement modelling to map forced marriage at local levels (2025)
Journal Article
Seymour, R., Nyarko-Agyei, A., McCabe, H., Severn, K., Sirl, D., Kypraios, T., & Taylor, A. (2025). Comparative judgement modelling to map forced marriage at local levels. Annals of Applied Statistics, 19(1), 419-439. https://doi.org/10.1214/24-AOAS1966

Forcing someone into marriage against their will is a violation of their human rights. In 2021, the county of Nottinghamshire, UK, launched a strategy to tackle forced marriage and violence against women and girls. We set out to map the risk of force... Read More about Comparative judgement modelling to map forced marriage at local levels.

Evaluating the predictive accuracy of ion-channel models using data from multiple experimental designs (2025)
Journal Article
Shuttleworth, J. G., Lei, C. L., Windley, M. J., Hill, A. P., Preston, S. P., & Mirams, G. R. (2025). Evaluating the predictive accuracy of ion-channel models using data from multiple experimental designs. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2292), Article 20240211. https://doi.org/10.1098/rsta.2024.0211

Mathematical models are increasingly being relied upon to provide quantitatively accurate predictions of cardiac electrophysiology. Many such models concern the behaviour of particular subcellular components (namely, ion channels) which, together, al... Read More about Evaluating the predictive accuracy of ion-channel models using data from multiple experimental designs.

Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data (2025)
Journal Article
Del Core, L., & Mirams, G. R. (2025). Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2292), https://doi.org/10.1098/rsta.2024.0224

Mathematical models of ion channel gating describe the changes in ion channel configurations due to the electrical activity of the cell membrane. Experimental findings suggest that ion channels behave randomly, and therefore stochastic models of ion... Read More about Parameter inference for stochastic reaction models of ion channel gating from whole-cell voltage-clamp data.

Optimizing experimental designs for model selection of ion channel drug-binding mechanisms (2025)
Journal Article
Patten-Elliott, F., Lei, C. L., Preston, S. P., Wilkinson, R. D., & Mirams, G. R. (2025). Optimizing experimental designs for model selection of ion channel drug-binding mechanisms. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 383(2292), https://doi.org/10.1098/rsta.2024.0227

The rapid delayed rectifier current carried by the human Ether-à-go-go-Related Gene (hERG) channel is susceptible to drug-induced reduction, which can lead to an increased risk of cardiac arrhythmia. Establishing the mechanism by which a specific dru... Read More about Optimizing experimental designs for model selection of ion channel drug-binding mechanisms.