Research Repository

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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. doi: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

Designing quantum experiments with a genetic algorithm (2019)
Journal Article
Nichols, R., Mineh, L., Rubio, J., Matthews, J. C. F., & Knott, P. A. (in press). Designing quantum experiments with a genetic algorithm. Quantum Science and Technology,

We introduce a genetic algorithm that designs quantum optics experiments for engineering quantum states with specic properties. Our algorithm is powerful and exible, and can easily be modied to nd methods of engineering states for a range of applicat... Read More

Virtual Element Method for Quasilinear Elliptic Problems (2019)
Journal Article
Cangiani, A., Chatzipantelidis, P., Diwan, G., & Georgoulis, E. (2019). Virtual Element Method for Quasilinear Elliptic Problems. IMA Journal of Numerical Analysis, 1-18. https://doi.org/10.1093/imanum/drz035

A Virtual Element Method (VEM) for the quasilinear equation −div(κ κ κ(u)gradu) = f using general polygonal and polyhedral meshes is presented and analysed. The nonlinear coefficient is evaluated with the piecewise polynomial projection of the virtua... Read More

An Integrated Pipeline for Combining In Vitro Data and Mathematical Models Using a Bayesian Parameter Inference Approach to Characterize Spatio-temporal Chemokine Gradient Formation (2019)
Journal Article
Kalogiros, D. I., Russell, M., Bonneuil, W., Frattolin, J., Watson, D., Moore Jr, J. E., …Brook, B. S. (2019). An Integrated Pipeline for Combining In Vitro Data and Mathematical Models Using a Bayesian Parameter Inference Approach to Characterize Spatio-temporal Chemokine Gradient Formation. Frontiers in Immunology, 10, https://doi.org/10.3389/fimmu.2019.01986

All protective and pathogenic immune and inflammatory responses rely heavily on leukocyte migration and localization. Chemokines are secreted chemoattractants that orchestrate the positioning and migration of leukocytes through concentration gradient... Read More

Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures (2019)
Journal Article
Soldatos, K. P., Aydogdu, M., & Gul, U. (in press). Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures. Journal of Mechanics of Materials and Structures,

This study investigates the flexural response of a linearly elastic rectangular strip reinforced in a functionally graded manner by a single family of straight fibres resistant in bending. Fibre bending resistance is associated with the thickness of... Read More

Synchrony in networks of Franklin bells (2019)
Journal Article
Sayli, M., Lai, Y. M., Thul, R., & Coombes, S. (2019). Synchrony in networks of Franklin bells. IMA Journal of Applied Mathematics, 84(5), 1001-1021. https://doi.org/10.1093/imamat/hxz023

The Franklin bell is an electro-mechanical oscillator that can generate a repeating chime in the presence of an electric field. Benjamin Franklin famously used it as a lightning detector. The chime arises from the impact of a metal ball on a metal be... Read More

Asymptotic analysis of breather modes in a two-dimensional mechanical lattice (2019)
Journal Article
Wattis, J., & Alzaidi, A. (2020). Asymptotic analysis of breather modes in a two-dimensional mechanical lattice. Physica D: Nonlinear Phenomena, 401, https://doi.org/10.1016/j.physd.2019.132207

We consider a two-dimensional square lattice in which each node is restricted to the plane of the lattice, but is permitted to move in both directions of the lattice. We assume nodes are connected to nearest neighbours along the lattice directions wi... Read More

Active vibration control of thin constrained composite damping plates with double piezoelectric layers (2019)
Journal Article
Cao, X., Tanner, G., & Chronopoulos, D. (2019). Active vibration control of thin constrained composite damping plates with double piezoelectric layers. Wave Motion, https://doi.org/10.1016/j.wavemoti.2019.102423

Vibrations and the damping behaviour of thin constrained composite plates with double piezoelectric layers are analytically explored by using Fourier transformation and classical laminated plate theory. Electric potential equations in the double piez... Read More

A novel wave-energy device with enhanced wave amplification and induction actuator (2019)
Conference Proceeding
Bokhove, O., Kalogirou, A., Henry, D., & Thomas, G. P. (2019). A novel wave-energy device with enhanced wave amplification and induction actuator

A novel wave-energy device will be presented. Both a preliminary proof-of-principle of a working, scaled laboratory version of the energy device will be shown as well as the derivation and analysis of a comprehensive mathematical and numerical model... Read More

Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds (2019)
Journal Article
Benini, M., Perin, M., & Schenkel, A. (2019). Model-independent comparison between factorization algebras and algebraic quantum field theory on Lorentzian manifolds. Communications in Mathematical Physics, https://doi.org/10.1007/s00220-019-03561-x

This paper investigates the relationship between algebraic quantum field theories and factorization algebras on globally hyperbolic Lorentzian manifolds. Functorial constructions that map between these two types of theories in both directions are dev... Read More

Diagonal Forms of Higher Degree Over Function Fields of p-adic Curves (2019)
Journal Article
Pumpluen, S. (2019). Diagonal Forms of Higher Degree Over Function Fields of p-adic Curves. International Journal of Number Theory, -. https://doi.org/10.1142/S1793042120500098

We investigate diagonal forms of degree d over the function field F of a smooth projective p-adic curve: if a form is isotropic over the completion of F with respect to each discrete valuation of F , then it is isotropic over certain fields F_U , F_P... Read More

Invariance and identifiability issues for word embeddings (2019)
Conference Proceeding
Carrington, R., Bharath, K., & Preston, S. (in press). Invariance and identifiability issues for word embeddings. In Advances in Neural Information Processing Systems 32 (NIPS 2019)

Word embeddings are commonly obtained as optimisers of a criterion function f of 1 a text corpus, but assessed on word-task performance using a different evaluation 2 function g of the test data. We contend that a possible source of disparity in 3 pe... Read More

Non-Orthogonal Bases for Quantum Metrology (2019)
Journal Article
Genoni, M. G., & Tufarelli, T. (2019). Non-Orthogonal Bases for Quantum Metrology. Journal of Physics A: Mathematical and Theoretical, 52(43), 1-18. https://doi.org/10.1088/1751-8121/ab3fe0

Many quantum statistical models are most conveniently formulated in terms of non-orthonormal bases. This is the case, for example, when mixtures and superpositions of coherent states are involved. In these instances, we show that the analytical evalu... Read More

A collisionless singular cucker-smale model with decentralized formation control (2019)
Journal Article
Peters, A. A., Choi, Y., Kalise, D., & Peszek, J. (in press). A collisionless singular cucker-smale model with decentralized formation control. SIAM Journal on Applied Dynamical Systems,

We address the design of decentralized feedback control laws inducing consensus and prescribed spatial patterns over a singular interacting particle system of Cucker-Smale type. The control design consists of a feedback term regulating the distance b... Read More

A master stability function approach to cardiac alternans (2019)
Journal Article
Lai, Y. M., Veasy, J., Coombes, S., & Thul, R. (in press). A master stability function approach to cardiac alternans. Applied Network Science,

During a single heartbeat, muscle cells in the heart contract and relax. Under healthy conditions, the behaviour of these muscle cells is almost identical from one beat to the next. However, this regular rhythm can be disturbed giving rise to a varie... Read More

Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems (2019)
Journal Article
Cangiani, A., Georgoulis, E. H., & Sabawi, Y. (2019). Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems. Journal of Computational and Applied Mathematics, doi:10.1016/j.cam.2019.112397

We prove a basic error contraction result of an adaptive discontinuous Galerkin method for an elliptic interface problem. The interface conditions considered model mass transfer of solutes through semi-permeable membranes and other filtering processe... Read More

The relative monoidal center and tensor products of monoidal categories (2019)
Journal Article
Laugwitz, R. (2019). The relative monoidal center and tensor products of monoidal categories. Communications in Contemporary Mathematics, https://doi.org/10.1142/s0219199719500688

This paper develops a theory of monoidal categories relative to a braided monoidal category, called augmented monoidal categories. For such categories, balanced bimodules are defined using the formalism of balanced functors. It is shown that there ex... Read More

Mutually disjoint, maximally commuting set of physical observables for optimum state determination (2019)
Journal Article
Smitha Rao, H. S., Sirsi, S., & Bharath, K. (2019). Mutually disjoint, maximally commuting set of physical observables for optimum state determination. Physica Scripta, 94(10), 1-7. doi:10.1088/1402-4896/ab2a85

We consider the state determination problem using mutually unbiased bases (MUBs). For spin-1, spin-3/2 and spin-2 systems, analogous to Pauli operators of spin-1/2 system, which are experimentally implementable and correspond to the optimum measureme... Read More

Four ways to fit an ion channel model (2019)
Journal Article
Clerx, M., Beattie, K., Gavaghan, D., & Mirams, G. (2019). Four ways to fit an ion channel model. Biophysical Journal, doi:10.1016/j.bpj.2019.08.001