Outputs (115)

A direction preserving discretization for computing phase-space densities (2021)
Journal Article
Chappell, D., Crofts, J. J., Richter, M., & Tanner, G. (2021). A direction preserving discretization for computing phase-space densities. SIAM Journal on Scientific Computing, 43(4), B884-B906. https://doi.org/10.1137/20M1352041

Ray flow methods are an efficient tool to estimate vibro-acoustic or electromagnetic energy transport in complex domains at high-frequencies. Here, a Petrov-Galerkin discretization of a phase-space boundary integral equation for transporting wave ene... Read More about A direction preserving discretization for computing phase-space densities.

Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling (2021)
Journal Article
King, J. R., Köry, J., & Ptashnyk, M. (2021). Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling. SIAM Journal on Applied Mathematics, 81(4), 1361-1388. https://doi.org/10.1137/19M1309626

In this paper we undertake a multiscale analysis of nutrient uptake by plant roots by considering different scale relations between the radius of root hairs and the distance between them. We combine the method of formal asymptotic expansions and rigo... Read More about Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling.

Cauliflower fractal forms arise from perturbations of floral gene networks (2021)
Journal Article
Azpeitia, E., Tichtinsky, G., Le Masson, M., Serrano-Mislata, A., Lucas, J., Gregis, V., Gimenez, C., Prunet, N., Farcot, E., Kater, M. M., Bradley, D., Madueño, F., Godin, C., & Parcy, F. (2021). Cauliflower fractal forms arise from perturbations of floral gene networks. Science, 373(6551), 192-197. https://doi.org/10.1126/science.abg5999

Throughout development, plant meristems regularly produce organs in defined spiral, opposite, or whorl patterns. Cauliflowers present an unusual organ arrangement with a multitude of spirals nested over a wide range of scales. How such a fractal, sel... Read More about Cauliflower fractal forms arise from perturbations of floral gene networks.

Constructing Non-Semisimple Modular Categories with Relative Monoidal Centers (2021)
Journal Article
Laugwitz, R., & Walton, C. (2022). Constructing Non-Semisimple Modular Categories with Relative Monoidal Centers. International Mathematics Research Notices, 2022(20), 15826-15868. https://doi.org/10.1093/imrn/rnab097

This paper is a contribution to the construction of non-semisimple modular categories. We establish when Müger centralizers inside non-semisimple modular categories are also modular. As a consequence, we obtain conditions under which relative monoida... Read More about Constructing Non-Semisimple Modular Categories with Relative Monoidal Centers.

Aperiodicity, rotational tiling spaces and topological space groups (2021)
Journal Article
Hunton, J., & Walton, J. J. (2021). Aperiodicity, rotational tiling spaces and topological space groups. Advances in Mathematics, 388, Article 107855. https://doi.org/10.1016/j.aim.2021.107855

We study the rotational structures of aperiodic tilings in Euclidean space of arbitrary dimension using topological methods. Classical topological approaches to the study of aperiodic patterns have largely concentrated just on translational structure... Read More about Aperiodicity, rotational tiling spaces and topological space groups.

Parameter estimation in fluorescence recovery after photobleaching: Quantitative analysis of protein binding reactions and diffusion (2021)
Journal Article
Williamson, D. E., Sahai, E., Jenkins, R. P., O'Dea, R. D., & King, J. R. (2021). Parameter estimation in fluorescence recovery after photobleaching: Quantitative analysis of protein binding reactions and diffusion. Journal of Mathematical Biology, 83, Article 1. https://doi.org/10.1007/s00285-021-01616-z

Fluorescence recovery after photobleaching (FRAP) is a common experimental method for investigating rates of molecular redistribution in biological systems. Many mathematical models of FRAP have been developed, the purpose of which is usually the est... Read More about Parameter estimation in fluorescence recovery after photobleaching: Quantitative analysis of protein binding reactions and diffusion.

High-Order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations (2021)
Book Chapter
Antonietti, P., Facciola, C., Houston, P., Mazzieri, I., Pennesi, G., & Verani, M. (2021). High-Order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations. In D. Di Pietro, L. Formaggia, & R. Masson (Eds.), Polyhedral methods in geosciences (159-225). Springer

The norm of a skew polynomial (2021)
Journal Article
Pumpluen, S., & Thompson, D. (2022). The norm of a skew polynomial. Algebras and Representation Theory, 25(4), 869–887. https://doi.org/10.1007/s10468-021-10051-z

Let D be a finite-dimensional division algebra over its center and R=D[t;σ,δ] a skew polynomial ring. Under certain assumptions on δ and σ, the ring of central quotients D(t;σ,δ)={f/g|f∈D[t;σ,δ],g∈C(D[t;σ,δ])} of D[t;σ,δ] is a central simple algebra... Read More about The norm of a skew polynomial.

Numerical black hole solutions in modified gravity theories: Axial symmetry case (2021)
Journal Article
Sullivan, A., Yunes, N., & Sotiriou, T. P. (2021). Numerical black hole solutions in modified gravity theories: Axial symmetry case. Physical Review D, 103(12), 1-16. https://doi.org/10.1103/physrevd.103.124058

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to solve the fu... Read More about Numerical black hole solutions in modified gravity theories: Axial symmetry case.

A generalisation of Amitsur's A-polynomials (2021)
Presentation / Conference Contribution
Pumpluen, S., & Owen, A. A generalisation of Amitsur's A-polynomials. Presented at 3rd International Workshop on Nonassociative Algebras in Málaga, Malaga, Spain

We find examples of polynomials f in D[t;\sigma,\delta] whose eigenring is a central simple algebra over the field F = C \cap Fix(\sigma) \cap Const(\delta).