Outputs (202)

From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions (2023)
Journal Article
Dorey, P., & Polvara, D. (2023). From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions. Journal of High Energy Physics, 2023(10), Article 177. https://doi.org/10.1007/jhep10%282023%29177

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams [1]. Using this method on the ADE series of Toda models, we computed the double- and single-pole co... Read More about From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions.

Patterning of nonlocal transport models in biology: The impact of spatial dimension (2023)
Journal Article
Jewell, T. J., Krause, A. L., Maini, P. K., & Gaffney, E. A. (2023). Patterning of nonlocal transport models in biology: The impact of spatial dimension. Mathematical Biosciences, Article 109093. https://doi.org/10.1016/j.mbs.2023.109093

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their awareness of other a... Read More about Patterning of nonlocal transport models in biology: The impact of spatial dimension.

Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature (2023)
Journal Article
Helmuth, T., & Mann, R. L. (2023). Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature. Quantum, 7, 1155. https://doi.org/10.22331/q-2023-10-25-1155

We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining th... Read More about Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature.

Three conjectures about character sums (2023)
Journal Article
Granville, A., & Mangerel, A. P. (2023). Three conjectures about character sums. Mathematische Zeitschrift, 305(3), Article 49. https://doi.org/10.1007/s00209-023-03374-8

We establish that three well-known and rather different looking conjectures about Dirichlet characters and their (weighted) sums, (concerning the Pólya–Vinogradov theorem for maximal character sums, the maximal admissible range in Burgess’ estimate f... Read More about Three conjectures about character sums.

Representatives of similarity classes of matrices over PIDs corresponding to ideal classes (2023)
Journal Article
Knight, L., & Stasinski, A. (2023). Representatives of similarity classes of matrices over PIDs corresponding to ideal classes. Glasgow Mathematical Journal, 1-16. https://doi.org/10.1017/s0017089523000356

For a principal ideal domain A, the Latimer–MacDuffee correspondence sets up a bijection between the similarity classes of matrices in Mn(A) with irreducible characteristic polynomial f(x) and the ideal classes of the order A[x]/(f(x)). We prove that... Read More about Representatives of similarity classes of matrices over PIDs corresponding to ideal classes.

Accelerating Bayesian inference for stochastic epidemic models using incidence data (2023)
Journal Article
Golightly, A., Wadkin, L. E., Whitaker, S. A., Baggaley, A. W., Parker, N. G., & Kypraios, T. (2023). Accelerating Bayesian inference for stochastic epidemic models using incidence data. Statistics and Computing, 33(6), Article 134. https://doi.org/10.1007/s11222-023-10311-6

We consider the case of performing Bayesian inference for stochastic epidemic compartment models, using incomplete time course data consisting of incidence counts that are either the number of new infections or removals in time intervals of fixed len... Read More about Accelerating Bayesian inference for stochastic epidemic models using incidence data.

VisualPDE: Rapid Interactive Simulations of Partial Differential Equations (2023)
Journal Article
Walker, B. J., Townsend, A. K., Chudasama, A. K., & Krause, A. L. (2023). VisualPDE: Rapid Interactive Simulations of Partial Differential Equations. Bulletin of Mathematical Biology, 85(11), Article 113. https://doi.org/10.1007/s11538-023-01218-4

Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in different ways. Using ubiquitous computing infrastructure, we provide a... Read More about VisualPDE: Rapid Interactive Simulations of Partial Differential Equations.

Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates (2023)
Journal Article
Xiao, D., Prior, C. B., & Yeates, A. R. (2023). Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates. Solar Physics, 298(10), Article 116. https://doi.org/10.1007/s11207-023-02211-9

Magnetic helicity has been used widely in the analysis and modelling of solar active regions. However, it is difficult to evaluate and interpret helicity in spherical geometry since coronal magnetic fields are rooted in the photosphere and helicity i... Read More about Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates.

2-index chiral gauge theories (2023)
Journal Article
Anber, M. M., & Chan, S. Y. L. (2023). 2-index chiral gauge theories. Journal of High Energy Physics, 2023(10), Article 25. https://doi.org/10.1007/jhep10%282023%29025

We undertake a systematic study of the 4-dimensional SU(N) 2-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the 2-index symmetric and anti-symmetric repre... Read More about 2-index chiral gauge theories.

Energy-Constrained Random Walk with Boundary Replenishment (2023)
Journal Article
Wade, A. R., & Grinfeld, M. (2023). Energy-Constrained Random Walk with Boundary Replenishment. Journal of Statistical Physics, 190(10), Article 155. https://doi.org/10.1007/s10955-023-03165-9

We study an energy-constrained random walker on a length-N interval of the one-dimensional integer lattice, with boundary reflection. The walker consumes one unit of energy for every step taken in the interior, and energy is replenished up to a capac... Read More about Energy-Constrained Random Walk with Boundary Replenishment.