Skip to main content

Research Repository

See what's under the surface

Browse


Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory (2020)
Journal Article
Mathieu, P., Murray, L., Schenkel, A., & Teh, N. J. (2020). Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory. Letters in Mathematical Physics, https://doi.org/10.1007/s11005-020-01269-x

We provide an elegant homological construction of the extended phase space for linear Yang-Mills theory on an oriented and time-oriented Lorentzian manifold M with a time-like boundary @M that was proposed by Donnelly and Freidel [JHEP 1609, 102 (201... Read More about Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory.

Brain-wave equation incorporating axodendritic connectivity (2020)
Journal Article
Ross, J., Margetts, M., Bojak, I., Nicks, R., Avitabile, D., & Coombes, S. (2020). Brain-wave equation incorporating axodendritic connectivity. Physical Review E, 101(2), https://doi.org/10.1103/physreve.101.022411

We introduce an integral model of a two-dimensional neural field that includes a third dimension representing space along a dendritic tree that can incorporate realistic patterns of axodendritic connectivity. For natural choices of this connectivity... Read More about Brain-wave equation incorporating axodendritic connectivity.

Regression modelling for size-and-shape data based on a Gaussian model for landmarks (2020)
Journal Article
Paine, P. J., Wood, A. T. A., Dryden, I. L., Kume, A., Paine, P. J., & Wood, A. T. A. (2020). Regression modelling for size-and-shape data based on a Gaussian model for landmarks. Journal of the American Statistical Association, 1-42. https://doi.org/10.1080/01621459.2020.1724115

In this paper we propose a regression model for size-and-shape response data. So far as we are aware, few such models have been explored in the literature to date. We assume a Gaussian model for labelled landmarks; these landmarks are used to represe... Read More about Regression modelling for size-and-shape data based on a Gaussian model for landmarks.

Cascading failures in networks of heterogeneous node behaviour (2020)
Journal Article
Smith, O., Crowe, J., Farcot, E., O'Dea, R., & Hopcraft, K. (in press). Cascading failures in networks of heterogeneous node behaviour. Physical Review E,

Variability in the dynamical function of nodes comprising a complex network impacts upon cascading failures that can compromise the network's ability to operate. Node types correspond to sources, sinks or passive conduits of a current ow, applicable... Read More about Cascading failures in networks of heterogeneous node behaviour.

Operations and poly-operations in Algebraic Cobordism (2020)
Journal Article
Vishik, A. (in press). Operations and poly-operations in Algebraic Cobordism. Advances in Mathematics,

We describe all operations from a theory A^* obtained from Algebraic Cobordism of M.Levine-F.Morel by change of coefficients to any oriented cohomology theory B^*. We prove that such an operation can be reconstructed out of it's action on the product... Read More about Operations and poly-operations in Algebraic Cobordism.

On the constitution of polar fibre-reinforced materials (2020)
Journal Article
Soldatos, K. P., Shariff, M. H. B. M., & Merodio, J. (in press). On the constitution of polar fibre-reinforced materials. Mechanics of Advanced Materials and Structures, https://doi.org/10.1080/15376494.2020.1729449

This article presents important constitutive refinements and simplifications in the theory of polar elasticity of materials reinforced by a single family of fibres resistant in bending. One of these simplifications is achieved by paying attention to... Read More about On the constitution of polar fibre-reinforced materials.

The role of node dynamics in shaping emergent functional connectivity patterns in the brain (2020)
Journal Article
Forrester, M., Crofts, J. J., Sotiropoulos, S., Coombes, S., & O’Dea, R. (2020). The role of node dynamics in shaping emergent functional connectivity patterns in the brain. Network Neuroscience, https://doi.org/10.1162/netn_a_00130

The contribution of structural connectivity to functional brain states remains poorly understood. We present a mathematical and computational study suited to assess the structure–function issue, treating a system of Jansen–Rit neural-mass nodes with... Read More about The role of node dynamics in shaping emergent functional connectivity patterns in the brain.

Modelling, Bayesian inference and model assessment for nosocomial pathogens using whole-genome-sequence data (2020)
Journal Article
Cassidy, R., Kypraios, T., & O'Neill, P. D. (in press). Modelling, Bayesian inference and model assessment for nosocomial pathogens using whole-genome-sequence data. Statistics in Medicine,

Whole genome sequencing of pathogens in outbreaks of infectious disease provides the potential to reconstruct transmission pathways and enhance the information contained in conventional epidemiological data. In recent years there have been numerous n... Read More about Modelling, Bayesian inference and model assessment for nosocomial pathogens using whole-genome-sequence data.

Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy (2020)
Journal Article
Ignat, R., Kurzke, M., & Lamy, X. (2020). Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy . SIAM Journal on Mathematical Analysis, 52(1), 524–542. https://doi.org/10.1137/19M1262978

For ε > 0, let uε : Ω → R 2 be a solution of the Ginzburg-Landau system −∆uε = 1 ε 2 uε(1 − |uε| 2) in a Lipschitz bounded domain Ω. In an energy regime that excludes interior vortices, we prove that 1 − |uε| is uniformly estimated by a positive powe... Read More about Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy .

A mathematical model to determine the effect of a sub-glycocalyx space (2020)
Journal Article
Dalwadi, M. P., King, J. R., Dyson, R. J., & Arkill, K. P. (in press). A mathematical model to determine the effect of a sub-glycocalyx space. Physical Review Fluids,

We consider the drainage of blood plasma across the capillary wall, focusing on the flow through the endothelial glycocalyx layer that coats the luminal surface of vascular endothelial cells. We investigate how the presence of a sub-glycocalyx space... Read More about A mathematical model to determine the effect of a sub-glycocalyx space.

Unruh effect and information flow (2020)
Journal Article
Sokolov, B., Louko, J., Maniscalco, S., & Vilja, I. (2020). Unruh effect and information flow. Physical Review D, 101(2), https://doi.org/10.1103/physrevd.101.024047

We study memory effects as information backflow for an accelerating two-level detector weakly interacting with a scalar field in the Minkowski vacuum. This is the framework of the well-known Unruh effect: the detector behaves as if it were in a therm... Read More about Unruh effect and information flow.

Bayesian protein sequence and structure alignment (2020)
Journal Article
Fallaize, C. J., Green, P., Mardia, K., & Barber, S. (2020). Bayesian protein sequence and structure alignment. Journal of the Royal Statistical Society: Series C, https://doi.org/10.1111/rssc.12394

© 2020 Royal Statistical Society The structure of a protein is crucial in determining its functionality and is much more conserved than sequence during evolution. A key task in structural biology is to compare protein structures to determine evolutio... Read More about Bayesian protein sequence and structure alignment.

Gaussian Thermal Operations and The Limits of Algorithmic Cooling (2020)
Journal Article
Adesso, G., Serafini, A., Hsieh, C., Lostaglio, M., Shackerley-Bennett, U., & Longden, S. (2020). Gaussian Thermal Operations and The Limits of Algorithmic Cooling. Physical Review Letters, 124(1), https://doi.org/10.1103/physrevlett.124.010602

The study of thermal operations allows one to investigate the ultimate possibilities of quantum states and of nanoscale thermal machines. Whilst fairly general, these results typically do not apply to continuous variable systems and do not take into... Read More about Gaussian Thermal Operations and The Limits of Algorithmic Cooling.

The dynamics of quasiregular maps of punctured space (2019)
Journal Article
Nicks, D. A., & Sixsmith, D. J. (2019). The dynamics of quasiregular maps of punctured space. Indiana University Mathematics Journal, 68(1), 323-352. https://doi.org/10.1512/iumj.2019.68.7556

The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been extended to quasiregular maps in more than two real dimensions. Our goal in this paper is similar; we extend the iteration theory of analytic self-maps... Read More about The dynamics of quasiregular maps of punctured space.

Cell 2-Representations and Categorification at Prime Roots of Unity (2019)
Journal Article
Laugwitz, R., & Miemietz, V. (2020). Cell 2-Representations and Categorification at Prime Roots of Unity. Advances in Mathematics, 361, https://doi.org/10.1016/j.aim.2019.106937

Motivated by recent advances in the categorification of quantum groups at prime roots of unity, we develop a theory of 2-representations for 2- categories, enriched with a p-differential, which satisfy finiteness conditions analogous to those of fini... Read More about Cell 2-Representations and Categorification at Prime Roots of Unity.

Cheeger-Simons differential characters with compact support and Pontryagin duality (2019)
Journal Article
Becker, C., Benini, M., Schenkel, A., & Szabo, R. J. (2019). Cheeger-Simons differential characters with compact support and Pontryagin duality. Communications in Analysis and Geometry, 27(7), 1473–1522

By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact... Read More about Cheeger-Simons differential characters with compact support and Pontryagin duality.

Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries (2019)
Journal Article
Radjen, A., Gradoni, G., & Tew, R. (2019). Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries. IMA Journal of Applied Mathematics, https://doi.org/10.1093/imamat/hxz029

Reflection and transmission phenomena associated with high-frequency linear wave incidence on irregular boundaries between adjacent acoustic or electromagnetic media, or upon the irregular free surface of a semi-infinite elastic solid, are studied in... Read More about Reflection and transmission of high-frequency acoustic, electromagnetic and elastic waves at a distinguished class of irregular, curved boundaries.

Operads for algebraic quantum field theory (2019)
Journal Article
Benini, M., Schenkel, A., & Woike, L. (in press). Operads for algebraic quantum field theory. Communications in Contemporary Mathematics,

We construct a colored operad whose category of algebras is the category of algebraic quantum field theories. This is achieved by a construction that depends on the choice of a category, whose objects provide the operad colors, equipped with an addit... Read More about Operads for algebraic quantum field theory.