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Algebraicity of L-values attached to Quaternionic Modular Forms (2023)
Journal Article
Bouganis, A., & Jin, Y. (2023). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, https://doi.org/10.4153/s0008414x23000184

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric sp... Read More about Algebraicity of L-values attached to Quaternionic Modular Forms.

Cluster algebras of finite mutation type with coefficients (2023)
Journal Article
Felikson, A., & Tumarkin, P. (in press). Cluster algebras of finite mutation type with coefficients. Journal of combinatorial algebra,

We classify mutation-finite cluster algebras with arbitrary coefficients of geometric type. This completes the classification of all mutation-finite cluster algebras started in [FeSTu1].

Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model (2023)
Journal Article
Wadkin, L. E., Golightly, A., Branson, J., Hoppit, A., Parker, N. G., & Baggaley, A. W. (2023). Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model. Diversity, 15(4), Article 496. https://doi.org/10.3390/d15040496

Invasive woodland pests have substantial ecological, economic, and social impacts, harming biodiversity and ecosystem services. Mathematical modelling informed by Bayesian inference can deepen our understanding of the fundamental behaviours of invasi... Read More about Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model.

Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions (2023)
Journal Article
Bar-Lev, S. K., Batsidis, A., Einbeck, J., Liu, X., & Ren, P. (2023). Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions. Mathematics, 11(7), Article 1603. https://doi.org/10.3390/math11071603

The class of natural exponential families (NEFs) of distributions having power variance functions (NEF-PVFs) is huge (uncountable), with enormous applications in various fields. Based on a characterization property that holds for the cumulants of the... Read More about Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions.

Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms (2023)
Journal Article
Straughan, B. (2023). Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms. Applied Mathematics and Optimization, 87(54), Article 54. https://doi.org/10.1007/s00245-023-09964-6

We present models for convection in a mixture of viscous fluids when the layer is heated from below and simultaneously the pointwise volume concentration of one of the fluids is heavier below. This configuration produces a problem of competitive doub... Read More about Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms.

Near-Miss Symmetric Polyhedral Cages (2023)
Journal Article
Piette, B. M. A. G., & Lukács, Á. (2023). Near-Miss Symmetric Polyhedral Cages. Symmetry, 15(3), Article 717. https://doi.org/10.3390/sym15030717

Following the experimental discovery of several nearly symmetric protein cages, we define the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages made out of P-gons. We use group theory to parameterize the possible config... Read More about Near-Miss Symmetric Polyhedral Cages.

Demonstrating multi-country calibration of a tuberculosis model using new history matching and emulation package - hmer (2023)
Journal Article
Scarponi, D., Iskauskas, A., Clark, R. A., Vernon, I., McKinley, T. J., Goldstein, M., …McCreesh, N. (2023). Demonstrating multi-country calibration of a tuberculosis model using new history matching and emulation package - hmer. Epidemics, 43, Article 100678. https://doi.org/10.1016/j.epidem.2023.100678

Infectious disease models are widely used by epidemiologists to improve the understanding of transmission dynamics and disease natural history, and to predict the possible effects of interventions. As the complexity of such models increases, however,... Read More about Demonstrating multi-country calibration of a tuberculosis model using new history matching and emulation package - hmer.

Inertia-gravity-wave diffusion by geostrophic turbulence: the impact of flow time dependence (2023)
Journal Article
Cox, M. R., Kafiabad, H. A., & Vanneste, J. (2023). Inertia-gravity-wave diffusion by geostrophic turbulence: the impact of flow time dependence. Journal of Fluid Mechanics, 958, Article A21. https://doi.org/10.1017/jfm.2023.83

The scattering of three-dimensional inertia-gravity waves by a turbulent geostrophic flow leads to the redistribution of their action through what is approximately a diffusion process in wavevector space. The corresponding diffusivity tensor was obta... Read More about Inertia-gravity-wave diffusion by geostrophic turbulence: the impact of flow time dependence.

Meromorphic cosets and the classification of three-character CFT (2023)
Journal Article
Das, A., Gowdigere, C. N., & Mukhi, S. (2023). Meromorphic cosets and the classification of three-character CFT. Journal of High Energy Physics, 2023(3), Article 23 (2023). https://doi.org/10.1007/jhep03%282023%29023

We investigate the admissible vector-valued modular forms having three independent characters and vanishing Wronskian index and determine which ones correspond to genuine 2d conformal field theories. This is done by finding bilinear coset-type relati... Read More about Meromorphic cosets and the classification of three-character CFT.

Adapted suicide safety plans to address self-harm, suicidal ideation, and suicide behaviours in autistic adults: protocol for a pilot randomised controlled trial (2023)
Journal Article
Rodgers, J., Goodwin, J., Nielsen, E., Bhattarai, N., Heslop, P., Kharatikoopaei, E., …Cassidy, S. (2023). Adapted suicide safety plans to address self-harm, suicidal ideation, and suicide behaviours in autistic adults: protocol for a pilot randomised controlled trial. Pilot and Feasibility Studies, 9(1), Article 31. https://doi.org/10.1186/s40814-023-01264-8

Background: Suicide prevention is a national priority for the UK government. Autistic people are at greater risk of experiencing self-harm and suicidal thoughts and behaviours than the general population. Safety plans are widely used in suicide preve... Read More about Adapted suicide safety plans to address self-harm, suicidal ideation, and suicide behaviours in autistic adults: protocol for a pilot randomised controlled trial.

One-Loop Off-Shell Amplitudes from Classical Equations of Motion (2023)
Journal Article
Gomez, H., Lipinski Jusinskas, R., Lopez-Arcos, C., & Quintero Vélez, A. (2023). One-Loop Off-Shell Amplitudes from Classical Equations of Motion. Physical Review Letters, 130(8), Article 081601. https://doi.org/10.1103/physrevlett.130.081601

In this Letter, we present a recursive method for computing one-loop off-shell integrands in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree-level amp... Read More about One-Loop Off-Shell Amplitudes from Classical Equations of Motion.

Existence of geometric ergodic periodic measures of stochastic differential equations (2023)
Journal Article
Feng, C., Zhao, H., & Zhong, J. (2023). Existence of geometric ergodic periodic measures of stochastic differential equations. Journal of Differential Equations, 359, 67-106. https://doi.org/10.1016/j.jde.2023.02.022

Periodic measures are the time-periodic counterpart to invariant measures for dynamical systems and can be used to characterise the long-term periodic behaviour of stochastic systems. This paper gives sufficient conditions for the existence, uniquene... Read More about Existence of geometric ergodic periodic measures of stochastic differential equations.

New reliability model for complex systems based on stochastic processes and survival signature (2023)
Journal Article
Chang, M., Huang, X., Coolen, F., & Coolen-Maturi, T. (2023). New reliability model for complex systems based on stochastic processes and survival signature. European Journal of Operational Research, 309(3), 1349-1364. https://doi.org/10.1016/j.ejor.2023.02.027

For systems with complicated structures, reliability analysis based on survival signature has been carried out by modelling time-to-failure data with specific distributions. However, for highly reliable systems, only little or no failure data may be... Read More about New reliability model for complex systems based on stochastic processes and survival signature.

Radiative phase space extensions at all orders in r for self-dual Yang-Mills and gravity (2023)
Journal Article
Nagy, S., & Peraza, J. (2023). Radiative phase space extensions at all orders in r for self-dual Yang-Mills and gravity. Journal of High Energy Physics, 2023(2), Article 202. https://doi.org/10.1007/jhep02%282023%29202

Working in the self-dual sector for Yang-Mills and gravity, we show how to construct an extended phase space at null infinity, to all orders in the radial expansion. This formalises the symmetry origin of the infrared behaviour of these theories to a... Read More about Radiative phase space extensions at all orders in r for self-dual Yang-Mills and gravity.

Divisor-bounded multiplicative functions in short intervals (2023)
Journal Article
Mangerel, A. P. (2023). Divisor-bounded multiplicative functions in short intervals. Research in the Mathematical Sciences, 10(12), https://doi.org/10.1007/s40687-023-00376-0

We extend the Matomäki–Radziwiłł theorem to a large collection of unbounded multiplicative functions that are uniformly bounded, but not necessarily bounded by 1, on the primes. Our result allows us to estimate averages of such a function f in typica... Read More about Divisor-bounded multiplicative functions in short intervals.

Periodic measures and Wasserstein distance for analysing periodicity of time series datasets (2023)
Journal Article
Feng, C., Liu, Y., & Zhao, H. (2023). Periodic measures and Wasserstein distance for analysing periodicity of time series datasets. Communications in Nonlinear Science and Numerical Simulation, 120, Article 107166. https://doi.org/10.1016/j.cnsns.2023.107166

In this article, we establish the probability foundation of the periodic measure approach in analysing periodicity of a dataset. It is based on recent work of random periodic processes. While random periodic paths provide a pathwise model for time se... Read More about Periodic measures and Wasserstein distance for analysing periodicity of time series datasets.

Mutation-finite quivers with real weights (2023)
Journal Article
Felikson, A., & Tumarkin, P. (2023). Mutation-finite quivers with real weights. Forum of Mathematics, Sigma, 11, Article e9. https://doi.org/10.1017/fms.2023.8

We classify all mutation-finite quivers with real weights. We show that every finite mutation class not originating from an integer skew-symmetrisable matrix has a geometric realisation by reflections. We also explore the structure of acyclic represe... Read More about Mutation-finite quivers with real weights.