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

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

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, 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

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,

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

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

The Price of Anarchy in flow networks as a function of node properties (2019)
Journal Article
Smith, O., Crowe, J., O'Dea, R. D., & Hopcraft, K. I. (2019). The Price of Anarchy in flow networks as a function of node properties. EPL, 127(1), doi:10.1209/0295-5075/127/18001

Many real-world systems such as traffic and electrical flow are described as flows following paths of least resistance through networks, with researchers often focusing on promoting efficiency by optimising network topology. Here, we instead focus on... Read More

Rapid characterisation of hERG channel kinetics I: using an automated high-throughput system (2019)
Journal Article
Lei, C. L., Clerx, M., Gavaghan, D. J., Polonchuk, L., Mirams, G. R., & Wang, K. (2019). Rapid characterisation of hERG channel kinetics I: using an automated high-throughput system. Biophysical Journal, doi:10.1016/j.bpj.2019.07.029

Predicting how pharmaceuticals may affect heart rhythm is a crucial step in drug-development, and requires a deep understanding of a compound’s action on ion channels. In vitro hERG-channel current recordings are an important step in evaluating the p... Read More

Distribution on warp maps for alignment of open and closed curves (2019)
Journal Article
Bharath, K., & Kurtek, S. (2019). Distribution on warp maps for alignment of open and closed curves. Journal of the American Statistical Association, https://doi.org/10.1080/01621459.2019.1632066

Alignment of curve data is an integral part of their statistical analysis, and can be achieved using model-or optimization-based approaches. The parameter space is usually the set of monotone, continuous warp maps of a domain. Infinite-dimensional na... Read More

Probabilistic Inference on Noisy Time Series (PINTS) (2019)
Journal Article
Clerx, M., Robinson, M., Lambert, B., Lei, C. L., Ghosh, S., Mirams, G. R., & Gavaghan, D. J. (2019). Probabilistic Inference on Noisy Time Series (PINTS). Journal of Open Research Software, 7(1), 23. doi:10.5334/jors.252

Time series models are ubiquitous in science, arising in any situation where researchers seek to understand how a system’s behaviour changes over time. A key problem in time series modelling is inference; determining properties of the underlying syst... Read More

A 4D gravity theory and G2-holonomy manifolds (2019)
Journal Article
Herfray, Y., Krasnov, K., Scarinci, C., & Shtanov, Y. (2019). A 4D gravity theory and G2-holonomy manifolds. Advances in Theoretical and Mathematical Physics, 22(8), 2001-2034. doi:10.4310/atmp.2018.v22.n8.a5

Bryant and Salamon gave a construction of metrics of G2 holonomy on the total space of the bundle of anti-self-dual (ASD) 2-forms over a 4-dimensional self-dual Einstein manifold. We generalise it by considering the total space of an SO(3) bundle (wi... Read More

Complex patterns of subcellular cardiac alternans (2019)
Journal Article
Veasy, J., Lai, Y. M., Coombes, S., & Thul, R. (2019). Complex patterns of subcellular cardiac alternans. Journal of Theoretical Biology, 478, 102-114. doi:10.1016/j.jtbi.2019.06.016

Cardiac alternans, in which the membrane potential and the intracellular calcium concentration exhibit alternating durations and peak amplitudes at consecutive beats, constitute a precursor to fatal cardiac arrhythmia such as sudden cardiac death. A... Read More

Asphericity and finiteness for certain group presentations (2019)
Journal Article
Edjvet, M., & Eljamel, N. (2019). Asphericity and finiteness for certain group presentations. Journal of Algebra, 536, 39-81. https://doi.org/10.1016/j.jalgebra.2019.06.028

We study diagrammatic reducibility for the relative group presentations Rn(k, l, ε) = H, x | t 3 x k t 2 x ε(k+l) where H = t | t n , n ≥ 7, k ≥ 1, l ≥ 0 and ε = ±1. We apply our results to classify finiteness for the group Gn(k, l, ε) defined by Rn(... Read More

Algebraic field theory operads and linear quantization (2019)
Journal Article
Bruinsma, S., & Schenkel, A. (2019). Algebraic field theory operads and linear quantization. Letters in Mathematical Physics, doi:10.1007/s11005-019-01195-7

We generalize the operadic approach to algebraic quantum field theory (arXiv:1709.08657) to a broader class of field theories whose observables on a spacetime are algebras over any single-colored operad. A novel feature of our framework is that it gi... Read More

Indistinguishability-enabled coherence for quantum metrology (2019)
Journal Article
Castellini, A., Lo Franco, R., Lami, L., Winter, A., Adesso, G., & Compagno, G. (2019). Indistinguishability-enabled coherence for quantum metrology. Physical Review A, 100(1), doi:10.1103/physreva.100.012308

Quantum coherence plays a fundamental and operational role in different areas of physics. A resource theory has been developed to characterize the coherence of distinguishable particles systems. Here we show that indistinguishability of identical par... Read More