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Method of regularised stokeslets: Flow analysis and improvement of convergence (2019)
Journal Article
Zhao, B., Lauga, E., & Koens, L. (in press). Method of regularised stokeslets: Flow analysis and improvement of convergence. Physical Review Fluids, 4(8), Article 084104. https://doi.org/10.1103/PhysRevFluids.4.084104

Since their development in 2001, regularised stokeslets have become a popular numerical tool for low-Reynolds number flows since the replacement of a point force by a smoothed blob overcomes many computational difficulties associated with flow singul... Read More about Method of regularised stokeslets: Flow analysis and improvement of convergence.

Algebra, matrices, and computers (2019)
Journal Article
Detinko, A., Flannery, D., & Hulpke, A. (2019). Algebra, matrices, and computers. Snapshots of modern mathematics from Oberwolfach, 5, 1-12. https://doi.org/10.14760/SNAP-2019-005-EN

What part does algebra play in representing the real world abstractly? How can algebra be used to solve hard mathematical problems with the aid of modern computing technology? We provide answers to these questions that rely on the theory of matrix gr... Read More about Algebra, matrices, and computers.

The strong approximation theorem and computing with linear groups (2019)
Journal Article
Detinko, A. S., Flannery, D. L., & Hulpke, A. (2019). The strong approximation theorem and computing with linear groups. Journal of Algebra, 529, 536-549. https://doi.org/10.1016/j.jalgebra.2019.04.011

We obtain a computational realization of the strong approximation theorem. That is, we develop algorithms to compute all congruence quotients modulo rational primes of a finitely generated Zariski dense group for . More generally, we are able to com... Read More about The strong approximation theorem and computing with linear groups.

Would two-stage scoring models alleviate bank exposure to bad debt? (2019)
Journal Article
Abdou, H. A., Mitra, S., Fry, J., & El Amer, A. (2019). Would two-stage scoring models alleviate bank exposure to bad debt?. Expert Systems with Applications, 128, 1-13. https://doi.org/10.1016/j.eswa.2019.03.028

The main aim of this paper is to investigate how far applying suitably conceived and designed credit scoring models can properly account for the incidence of default and help improve the decision-making process. Four statistical modelling techniques,... Read More about Would two-stage scoring models alleviate bank exposure to bad debt?.

Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field (2019)
Journal Article
Dommers, S., & Eichelsbacher, P. (in press). Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field. Stochastic processes and their applications, https://doi.org/10.1016/j.spa.2019.02.007

We study the inhomogeneous Curie-Weiss model with external field, where the inhomo-geneity is introduced by adding a positive weight to every vertex and letting the interaction strength between two vertices be proportional to the product of their wei... Read More about Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field.

Takeover deterrents and Cross Partial Ownerships: the case of golden shares (2019)
Journal Article
Serbera, J., & Fry, J. (2019). Takeover deterrents and Cross Partial Ownerships: the case of golden shares. Managerial and decision economics : MDE, 40(3), 243-250. https://doi.org/10.1002/mde.2998

We analyse takeovers in an industry with bilateral capital-linked firms in cross partial ownership (CPO). Before merger, CPO reduces the profitability of involved firms, confirming the “outsider effect.” However, the impact of CPO upon merger profita... Read More about Takeover deterrents and Cross Partial Ownerships: the case of golden shares.

Regional bias when benchmarking services using customer satisfaction scores (2019)
Journal Article
Brint, A., & Fry, J. (2021). Regional bias when benchmarking services using customer satisfaction scores. Total quality management & business excellence, 32(3-4), 344-358. https://doi.org/10.1080/14783363.2019.1568867

Regional monopoly service organisations such as electricity, gas and water distributors, health trusts, public transport, and local government are subject to regulatory oversight. A common element in this is benchmarking an organisation against simil... Read More about Regional bias when benchmarking services using customer satisfaction scores.

How easy is it to understand consumer finance? (2019)
Journal Article
Burke, M., & Fry, J. (2019). How easy is it to understand consumer finance?. Economics letters, 177, 1-4. https://doi.org/10.1016/j.econlet.2019.01.004

We consider the readability of payday loan websites against conventional lenders. Our findings show that credit card websites are harder to read and contain more complex terminology. Our central contribution is to provide the first known measurement... Read More about How easy is it to understand consumer finance?.

The near and far of a pair of magnetic capillary disks (2019)
Journal Article
Koens, L., Wang, W., Sitti, M., & Lauga, E. (2019). The near and far of a pair of magnetic capillary disks. Soft matter, 15(7), 1497-1507. https://doi.org/10.1039/c8sm02215a

Control on microscopic scales depends critically on our ability to manipulate interactions with different physical fields. The creation of micro-machines therefore requires us to understand how multiple fields, such as surface capillary or electro-ma... Read More about The near and far of a pair of magnetic capillary disks.

Computations of the slice genus of virtual knots (2018)
Journal Article
Rushworth, W. (2019). Computations of the slice genus of virtual knots. Topology and its Applications, 253, 57-84. https://doi.org/10.1016/j.topol.2018.11.028

A virtual knot is an equivalence class of embeddings of $ S^1 $ into thickened (closed oriented) surfaces, up to self-diffeomorphism of the surface and certain handle stabilisations. The slice genus of a virtual knot is defined diagrammatically, in d... Read More about Computations of the slice genus of virtual knots.

Early-time jet formation in liquid–liquid impact problems: theory and simulations (2018)
Journal Article
Cimpeanu, R., & Moore, M. R. (2018). Early-time jet formation in liquid–liquid impact problems: theory and simulations. Journal of Fluid Mechanics, 856, 764-796. https://doi.org/10.1017/jfm.2018.704

We perform a thorough qualitative and quantitative comparison of theoretical predictions and direct numerical simulations for the two-dimensional, vertical impact of two droplets of the same fluid. In particular, we show that the theoretical predicti... Read More about Early-time jet formation in liquid–liquid impact problems: theory and simulations.

The swimming of a deforming helix (2018)
Journal Article
Koens, L., Zhang, H., Moeller, M., Mourran, A., & Lauga, E. (2018). The swimming of a deforming helix. European Physical Journal E, 41(10), Article 119. https://doi.org/10.1140/epje/i2018-11728-2

Abstract.: Many microorganisms and artificial microswimmers use helical appendages in order to generate locomotion. Though often rotated so as to produce thrust, some species of bacteria such Spiroplasma, Rhodobacter sphaeroides and Spirochetes induc... Read More about The swimming of a deforming helix.

Booms, busts and heavy tails: the story of Bitcoin and cryptocurrency markets (2018)
Journal Article
Fry, J. (2018). Booms, busts and heavy tails: the story of Bitcoin and cryptocurrency markets. Economics letters, 171, 225-229. https://doi.org/10.1016/j.econlet.2018.08.008

We develop bespoke rational bubble models for Bitcoin and cryptocurrencies that incorporate both heavy tails and the probability of a complete collapse in asset prices. Empirically, we present robustified evidence of bubbles in Bitcoin and Ethereum.... Read More about Booms, busts and heavy tails: the story of Bitcoin and cryptocurrency markets.

Methods to solve half-plane partial slip contact problems (2018)
Journal Article
Hills, D., Ramesh, R., Barber, J., & Moore, M. (2018). Methods to solve half-plane partial slip contact problems. International Journal of Solids and Structures, 155, 155-159. https://doi.org/10.1016/j.ijsolstr.2018.07.019

There exists a family of methods for finding the extent of partial slip in contact problems between elastically similar bodies, capable of idealisation by half-planes. Closed form solutions are given to problems subject to a constant normal load and... Read More about Methods to solve half-plane partial slip contact problems.

Linear groups and computation (2018)
Journal Article
Detinko, A. S., & Flannery, D. L. (2019). Linear groups and computation. Expositiones Mathematicae, 37(4), 454-484. https://doi.org/10.1016/j.exmath.2018.07.002

We present an exposition of our ongoing project in a new area of applicable mathematics: practical computation with finitely generated linear groups over infinite fields. Methodology and algorithms available for this class of groups are surveyed. We... Read More about Linear groups and computation.

Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces (2018)
Journal Article
Olegovich Manturov, V., & Rushworth, W. (2018). Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces. Journal of Knot Theory and Its Ramifications, 27(9), https://doi.org/10.1142/S0218216518420014

We define additional gradings on two generalisations of Khovanov homology (one due to the first author, the other due to the second), and use them to define invariants of various kinds of embeddings. These include invariants of links in thickened sur... Read More about Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces.

The boundary integral formulation of Stokes flows includes slender-body theory (2018)
Journal Article
Koens, L., & Lauga, E. (2018). The boundary integral formulation of Stokes flows includes slender-body theory. Journal of Fluid Mechanics, 850, Article R1. https://doi.org/10.1017/jfm.2018.483

The incompressible Stokes equations can classically be recast in a boundary integral (BI) representation, which provides a general method to solve low-Reynolds-number problems analytically and computationally. Alternatively, one can solve the Stokes... Read More about The boundary integral formulation of Stokes flows includes slender-body theory.

Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials (2018)
Journal Article
Chongchitnan, S. (2018). Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials. Universe, 4(7), Article 77. https://doi.org/10.3390/universe4070077

We study a new class of inflation model parametrized by the Hubble radius, such that aH∝exp(−αφ)n. These potentials are plateau-like, and reduce to the power-law potentials in the simplest case n=2. We investigate the range of model parameters that i... Read More about Primordial Gravitational Waves and Reheating in a New Class of Plateau-Like Inflationary Potentials.