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All Outputs (49)

Classification of Width 1 Lattice Tetrahedra by Their Multi-Width (2024)
Journal Article
Hamm, G. (2024). Classification of Width 1 Lattice Tetrahedra by Their Multi-Width. Discrete and Computational Geometry, https://doi.org/10.1007/s00454-024-00659-5

We introduce themulti-width of a lattice polytope and use this to classify and count all lattice tetrahedrawith multi-width (1,w2,w3). The approach used in this classification can be extended into a computer algorithm to classify lattice tetrahedra o... Read More about Classification of Width 1 Lattice Tetrahedra by Their Multi-Width.

Isotropic and numerical equivalence for Chow groups and Morava K-theories (2024)
Journal Article
Vishik, A. (2024). Isotropic and numerical equivalence for Chow groups and Morava K-theories. Inventiones Mathematicae, https://doi.org/10.1007/s00222-024-01267-z

In this paper we prove the conjecture claiming that, over a flexible field, isotropic Chow groups coincide with numerical Chow groups (with Fp-coefficients). This shows that Isotropic Chow motives coincide with Numerical Chow motives. In particular,... Read More about Isotropic and numerical equivalence for Chow groups and Morava K-theories.

Period-like polynomials for L-series associated with half-integral weight cusp forms (2024)
Journal Article
Branch, J., Diamantis, N., Raji, W., & Rolen, L. (in press). Period-like polynomials for L-series associated with half-integral weight cusp forms. Research in the Mathematical Sciences,

Given the L-series of a half-integral weight cusp form, we construct polynomials behaving similarly to the classical period polynomial of an integral weight cusp form. We also define a lift of half-integral weight cusp forms to integral weight cusp f... Read More about Period-like polynomials for L-series associated with half-integral weight cusp forms.

Modelling the impact of wastewater flows and management practices on antimicrobial resistance in dairy farms (2024)
Journal Article
Todman, H., Helliwell, R., King, L., Blanchard, A., Gray-Hammerton, C. J., Hooton, S. P., …Stekel, D. J. (2024). Modelling the impact of wastewater flows and management practices on antimicrobial resistance in dairy farms. npj Antimicrobials & Resistance, 2(1), Article 13. https://doi.org/10.1038/s44259-024-00029-4

Dairy slurry is a major source of environmental contamination with antimicrobial resistant genes and bacteria. We developed mathematical models and conducted on-farm research to explore the impact of wastewater flows and management practices on antim... Read More about Modelling the impact of wastewater flows and management practices on antimicrobial resistance in dairy farms.

The mathematics pipeline in England: inclusion and the excellence stream (2024)
Journal Article
Brignell, C., Noyes, A., & Jacques, L. (2024). The mathematics pipeline in England: inclusion and the excellence stream. Teaching Mathematics and its Applications, https://doi.org/10.1093/teamat/hrae005

In England, there is currently heightened political interest in increasing mathematics attainment and maximizing post-16 participation. The latter is not merely an issue for upper secondary but requires a long-view of students’ mathematical progress.... Read More about The mathematics pipeline in England: inclusion and the excellence stream.

Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport (2024)
Journal Article
Houston, P., Hubbard, M., Radley, T., Sutton, O., & Widdowson, R. (in press). Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport. Journal of Scientific Computing,

We introduce an hp–version discontinuous Galerkin finite element method (DGFEM) for the linear Boltzmann transport problem. A key feature of this new method is that, while offering arbitrary order convergence rates, it may be implemented in an almost... Read More about Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport.

Shadows and properties of spin-induced scalarized black holes with and without a Ricci coupling (2024)
Journal Article
Fernandes, P. G., Burrage, C., Eichhorn, A., & Sotiriou, T. P. (2024). Shadows and properties of spin-induced scalarized black holes with and without a Ricci coupling. Physical Review D, 109(10), Article 104033. https://doi.org/10.1103/physrevd.109.104033

In this work, we explore the properties and shadows of spin-induced scalarized black holes, as well as investigate how a Ricci coupling influences them. Our findings reveal significant deviations from the Kerr metric in terms of the location and geod... Read More about Shadows and properties of spin-induced scalarized black holes with and without a Ricci coupling.

Estimating disease transmission in a closed population under repeated testing (2024)
Journal Article
Wascher, M., Schnell, P. M., Khuda Bukhsh, W. R., Quam, M. B. M., Tien, J. H., & Rempała, G. A. (2024). Estimating disease transmission in a closed population under repeated testing. Journal of the Royal Statistical Society: Series C, https://doi.org/10.1093/jrsssc/qlae021

The article presents a novel statistical framework for COVID-19 transmission monitoring and control, which was developed and deployed at The Ohio State University main campus in Columbus during the Autumn term of 2020. Our approach effectively handle... Read More about Estimating disease transmission in a closed population under repeated testing.

Iterative solution methods for high-order/hp–DGFEM approximation of the linear Boltzmann transport equation (2024)
Journal Article
Houston, P., Hubbard, M. E., & Radley, T. J. (2024). Iterative solution methods for high-order/hp–DGFEM approximation of the linear Boltzmann transport equation. Computers and Mathematics with Applications, 166, 37-49. https://doi.org/10.1016/j.camwa.2024.04.011

In this article we consider the iterative solution of the linear system of equations arising from the discretisation of the poly-energetic linear Boltzmann transport equation using a high-order/hp–version discontinuous Galerkin finite element approxi... Read More about Iterative solution methods for high-order/hp–DGFEM approximation of the linear Boltzmann transport equation.

A diffusion approach to Stein's method on Riemannian manifolds (2024)
Journal Article
Le, H., Lewis, A., Bharath, K., & Fallaize, C. (2024). A diffusion approach to Stein's method on Riemannian manifolds. Bernoulli, 30(2), 1079-1104. https://doi.org/10.3150/23-bej1625

We detail an approach to developing Stein’s method for bounding integral metrics on probability measures defined on a Riemannian manifold M. Our approach exploits the relationship between the generator of a diffusion on M having a target invariant me... Read More about A diffusion approach to Stein's method on Riemannian manifolds.

Numerical investigation of bubble dynamics and flow boiling heat transfer in cylindrical micro-pin-fin heat exchangers (2024)
Journal Article
El Mellas, I., Samkhaniani, N., Falsetti, C., Stroh, A., Icardi, M., & Magnini, M. (2024). Numerical investigation of bubble dynamics and flow boiling heat transfer in cylindrical micro-pin-fin heat exchangers. International Journal of Heat and Mass Transfer, 228, Article 125620. https://doi.org/10.1016/j.ijheatmasstransfer.2024.125620

Micro-pin-fin evaporators are a promising alternative to multi-microchannel heat sinks for two-phase cooling of high power-density devices. Within pin-fin evaporators, the refrigerant flows through arrays of obstacles in cross-flow and is not restric... Read More about Numerical investigation of bubble dynamics and flow boiling heat transfer in cylindrical micro-pin-fin heat exchangers.

A generalization of the first Tits construction (2024)
Journal Article
Pumpluen, S., & Moran, T. (2024). A generalization of the first Tits construction. Axioms, 13(5), Article 299. https://doi.org/10.3390/axioms13050299

Let F be a field of characteristic, not 2 or 3. The first Tits construction is a well-known tripling process to construct separable cubic Jordan algebras, especially Albert algebras. We generalize the first Tits construction by choosing the scalar em... Read More about A generalization of the first Tits construction.

Approximating Hessian matrices using Bayesian inference: a new approach for quasi-Newton methods in stochastic optimization (2024)
Journal Article
Carlon, A. G., Espath, L., & Tempone, R. (2024). Approximating Hessian matrices using Bayesian inference: a new approach for quasi-Newton methods in stochastic optimization. Optimization Methods and Software, https://doi.org/10.1080/10556788.2024.2339226

Using quasi-Newton methods in stochastic optimization is not a trivial task given the difficulty of extracting curvature information from the noisy gradients. Moreover, pre-conditioning noisy gradient observations tend to amplify the noise. We propos... Read More about Approximating Hessian matrices using Bayesian inference: a new approach for quasi-Newton methods in stochastic optimization.

Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach (2024)
Journal Article
Brevis, I., Muga, I., Pardo, D., Rodriguez, O., & van der Zee, K. G. (2024). Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach. Computers and Mathematics with Applications, 164, 139-149. https://doi.org/10.1016/j.camwa.2024.04.006

The efficient approximation of parametric PDEs is of tremendous importance in science and engineering. In this paper, we show how one can train Galerkin discretizations to efficiently learn quantities of interest of solutions to a parametric PDE. The... Read More about Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach.

Albert’s twisted field construction using division algebras with a multiplicative norm (2024)
Journal Article
Pumplün, S. (2024). Albert’s twisted field construction using division algebras with a multiplicative norm. Journal of Algebra and Its Applications, https://doi.org/10.1142/S0219498825502536

We generalize Albert’s twisted field construction, applying it to unital division algebras with a multiplicative norm. We give conditions for the resulting algebras to be division algebras. Four- and eight-dimensional real unital and non-unital divis... Read More about Albert’s twisted field construction using division algebras with a multiplicative norm.

Ringdowns for black holes with scalar hair: The large mass case (2024)
Journal Article
D’Addario, G., Padilla, A., Saffin, P. M., Sotiriou, T. P., & Spiers, A. (2024). Ringdowns for black holes with scalar hair: The large mass case. Physical Review D, 109(8), Article 084046. https://doi.org/10.1103/physrevd.109.084046

Deviations from general relativity can alter the quasinormal mode (QNM) ringdown of perturbed black holes. It is known that a shift-symmetric (hence massless) scalar can only introduce black hole hair if it couples to the Gauss-Bonnet invariant, in w... Read More about Ringdowns for black holes with scalar hair: The large mass case.

Describing financial crisis propagation through epidemic modelling on multiplex networks (2024)
Journal Article
Bozhidarova, M., Ball, F., van Gennip, Y., O'Dea, R. D., & Stupfler, G. (2024). Describing financial crisis propagation through epidemic modelling on multiplex networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2287), Article 20230787. https://doi.org/10.1098/rspa.2023.0787

This paper proposes a novel framework for modelling the spread of financial crises in complex networks, combining financial data, Extreme Value Theory and an epidemiological transmission model. We accommodate two key aspects of contagion modelling: f... Read More about Describing financial crisis propagation through epidemic modelling on multiplex networks.