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

On a relationship between randomly and non-randomly thresholded empirical average excesses for heavy tails (2019)
Journal Article
Stupfler, G. (in press). On a relationship between randomly and non-randomly thresholded empirical average excesses for heavy tails. Extremes,

Motivated by theoretical similarities between the classical Hill estimator of the tail index of a heavy-tailed distribution and one of its pseudo-estimator versions featuring a non-random threshold, we show a novel asymptotic representation of a clas... Read More

Self-organised reactivation maintains and reinforces memories despite synaptic turnover (2019)
Journal Article
Fauth, M. J., & van Rossum, M. C. (2019). Self-organised reactivation maintains and reinforces memories despite synaptic turnover. eLife, 2019(8), doi:10.7554/eLife.43717

Long-term memories are believed to be stored in the synapses of cortical neuronal networks. However, recent experiments report continuous creation and removal of cortical synapses, which raises the question how memories can survive on such a variable... Read More

A comparative study of estimation methods in quantum tomography (2019)
Journal Article
Acharya, A., Kypraios, T., & Guta, M. (2019). A comparative study of estimation methods in quantum tomography. Journal of Physics A: Mathematical and Theoretical, 52(23), 1-36. doi:10.1088/1751-8121/ab1958

As quantum tomography is becoming a key component of the quantum engineering toolbox, there is a need for a deeper understanding of the multitude of estimation methods available. Here we investigate and compare several such methods: maximum likelihoo... Read More

Higher Structures in Algebraic Quantum Field Theory: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory (2019)
Journal Article
Benini, M., & Schenkel, A. (2019). Higher Structures in Algebraic Quantum Field Theory: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory. Fortschritte der Physik / Progress of Physics, doi:10.1002/prop.201910015

A brief overview of the recent developments of operadic and higher categorical techniques in algebraic quantum field theory is given. The relevance of such mathematical structures for the description of gauge theories is discussed.

Effect of random forcing on fluid lubricated bearing (2019)
Journal Article
Bailey, N., Hibberd, S., Tretyakov, M., & Power, H. (2019). Effect of random forcing on fluid lubricated bearing. IMA Journal of Applied Mathematics, 84(3), 632–649. doi:10.1093/imamat/hxz007

A model for a fluid lubricated bearing is derived for operation under conditions where external forces are subject to random fluctuations that may act to destabilise the bearing. The fluid flow through the bearing is described by a Reynolds equation... Read More

Geometrical modelling of pulsed laser ablation of high performance metallic alloys (2019)
Journal Article
Cha, D., Axinte, D., & Billingham, J. (2019). Geometrical modelling of pulsed laser ablation of high performance metallic alloys. International Journal of Machine Tools and Manufacture, 141, 78-88. doi:10.1016/j.ijmachtools.2019.04.004

Modelling of Pulsed Laser Ablation (PLA) for the prediction of complex geometries has generally achieved limited success when aimed at large structures resulting from a high number of overlapped pulses, in particular for the ablation of metallic mate... Read More

Gorenstein formats, canonical and Calabi-Yau threefolds (2019)
Journal Article
Brown, G., Kasprzyk, A., & Zhu, L. (2019). Gorenstein formats, canonical and Calabi-Yau threefolds. Experimental Mathematics, doi:10.1080/10586458.2019.1592036

Gorenstein formats present the equations of regular canonical, Calabi–Yau and Fano varieties embedded by subcanonical divisors. We present a new algorithm for the enumeration of these formats based on orbifold Riemann-Roch and knapsack packing-type a... Read More

Generic bound coherence under strictly incoherent operations (2019)
Journal Article
Lami, L., Regula, B., & Adesso, G. (2019). Generic bound coherence under strictly incoherent operations. Physical Review Letters, 122(15), doi:10.1103/physrevlett.122.150402

We compute analytically the maximal rates of distillation of quantum coherence under strictly incoherent operations (SIO) and physically incoherent operations (PIO), showing that they coincide for all states, and providing a complete description of t... Read More

An empirical analysis of the design case law of the EU Member States (2019)
Journal Article
Derclaye, E., Church, O., & Stupfler, G. (2019). An empirical analysis of the design case law of the EU Member States. International Review of Intellectual Property and Competition Law, doi:10.1007/s40319-019-00813-0

This article empirically examines the substantive decisions on all types of design rights from the courts of the 28 Member States since the entry into force of the Design Directive and the Design Regulation, up to and including August 2017. The artic... Read More

Spherical Regression Models With General Covariates And Anisotropic Errors (2019)
Journal Article
Paine, P., Preston, S., Tsagris, M., & Wood, A. T. (2019). Spherical Regression Models With General Covariates And Anisotropic Errors. Statistics and Computing, doi:10.1007/s11222-019-09872-2

Existing parametric regression models in the literature for response data on the unit sphere assume that the covariates have particularly simple structure, for example that they are either scalar or are themselves on the unit sphere, and/or that the... Read More

Towards superresolution surface metrology: quantum estimation of angular and axial separations (2019)
Journal Article
Napoli, C., Piano, S., Leach, R., Adesso, G., & Tufarelli, T. (2019). Towards superresolution surface metrology: quantum estimation of angular and axial separations. Physical Review Letters, 122(14), doi:10.1103/physrevlett.122.140505

We investigate the localization of two incoherent point sources with arbitrary angular and axial separations in the paraxial approximation. By using quantum metrology techniques, we show that a simultaneous estimation of the two separations is achiev... Read More

Solvable crossed product algebras revisited (2019)
Journal Article
Brown, C., & Pumpluen, S. (2019). Solvable crossed product algebras revisited. Glasgow Mathematical Journal, doi:10.1017/S0017089519000089

For any central simple algebra over a field F which contains a maximal subfield M with non-trivial automorphism group G = AutF (M), G is solvable if and only if the algebra contains a finite chain of subalgebras which are generalized cyclic algebras... Read More

Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains (2019)
Journal Article
Khanam, A., Wattis, J. A., & Hassan, M. K. (2019). Effects of competition between random sequential nucleation of point-sized seeds and island growth by adsorption of finite-sized grains. Physical Review E, 99(4), doi:10.1103/PhysRevE.99.042110

We study random sequential adsorption of particles from a pool onto a one-dimensional substrate following ballistic deposition rules with separate nucleation and growth processes occurring simultaneously. Nucleation describes the formation of point-s... Read More

Chaos in a Ring Circuit (2019)
Journal Article
Farcot, E., Best, S., Edwards, R., Belgacem, I., Xu, X., & Gill, P. (2019). Chaos in a Ring Circuit. Chaos, 29(4), doi:10.1063/1.5079941

A ring-shaped logic circuit is proposed here as a robust design for a True Random Number Generator (TRNG). Most existing TRNGs rely on physical noise as a source of randomness, where the underlying idealized deterministic system is simply oscillatory... Read More

Chaos in a ring circuit (2019)
Journal Article
Farcot, E., Best, S., Edwards, R., Belgacem, I., Xu, X., & Gill, P. (2019). Chaos in a ring circuit. Chaos, 29(4), doi:10.1063/1.5079941

A ring-shaped logic circuit is proposed here as a robust design for a True Random Number Generator (TRNG). Most existing TRNGs rely on physical noise as a source of randomness, where the underlying idealized deterministic system is simply oscillatory... Read More

Quantifying age and model uncertainties in palaeoclimate data and dynamical climate models with a joint inferential analysis (2019)
Journal Article
Carson, J., Crucifix, M., Preston, S., & Wilkinson, R. (2019). Quantifying age and model uncertainties in palaeoclimate data and dynamical climate models with a joint inferential analysis. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2224), doi:10.1098/rspa.2018.0854

The study of palaeoclimates relies on information sampled in natural archives such as deep sea cores. Scientific investigations often use such information in multi- stage analyses, typically with an age model being fitted to a core to convert depths... Read More

Assisted work distillation (2019)
Journal Article
Morris, B., Lami, L., & Adesso, G. (2019). Assisted work distillation. Physical Review Letters, 122(13), doi:10.1103/physrevlett.122.130601

We study the process of assisted work distillation. This scenario arises when two parties share a bipartite quantum state ρAB and their task is to locally distill the optimal amount of work when one party is restricted to thermal operations, whereas... Read More

Fluid dynamics of the slip boundary condition for isothermal rimming flow with moderate inertial effects (2019)
Journal Article
Nicholson, J., Power, H., Tammisola, O., Hibberd, S., & Kay, E. (2019). Fluid dynamics of the slip boundary condition for isothermal rimming flow with moderate inertial effects. Physics of Fluids, 31(3), 1-17. doi:10.1063/1.5085497

Motivated by evaluating coating oil films within bearing chambers in an aero-engine application, an analysis is presented for the fluid dynamics relevant in their dual capacity as both coolant and lubricant in highly sheared flows that may approach m... Read More