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Bayesian protein sequence and structure alignment (2020)
Journal Article
Fallaize, C., 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

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 evolutionary relationships, to estimate t... 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.

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.

Invariance and identifiability issues for word embeddings (2019)
Conference Proceeding
Carrington, R., Bharath, K., & Preston, S. (2019). 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 about Invariance and identifiability issues for word embeddings.

Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures (2019)
Journal Article
Soldatos, K., Soldatos, K. P., Aydogdu, M., & Gul, U. (2019). Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures. Journal of Mechanics of Materials and Structures, 14(4), 497-535. https://doi.org/10.2140/jomms.2019.14.497

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 about Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures.

Pair-based likelihood approximations for stochastic epidemic models (2019)
Journal Article
Stockdale, J. E., Kypraios, T., & O'Neill, P. D. (2019). Pair-based likelihood approximations for stochastic epidemic models. Biostatistics, https://doi.org/10.1093/biostatistics/kxz053

Fitting stochastic epidemic models to data is a non-standard problem because data on the infection processes defined in such models are rarely observed directly. This in turn means that the likelihood of the observed data is intractable in the sense... Read More about Pair-based likelihood approximations for stochastic epidemic models.

Linear Yang–Mills Theory as a Homotopy AQFT (2019)
Journal Article
Benini, M., Bruinsma, S., & Schenkel, A. (2019). Linear Yang–Mills Theory as a Homotopy AQFT. Communications in Mathematical Physics, https://doi.org/10.1007/s00220-019-03640-z

It is observed that the shifted Poisson structure (antibracket) on the solution complex of Klein–Gordon and linear Yang–Mills theory on globally hyperbolic Lorentzian manifolds admits retarded/advanced trivializations (analogs of retarded/advanced Gr... Read More about Linear Yang–Mills Theory as a Homotopy AQFT.

Cell 2-Representations and Categorification at Prime Roots of Unity (2019)
Journal Article
Laugwitz, R., & Miemietz, V. (in press). Cell 2-Representations and Categorification at Prime Roots of Unity. Advances in Mathematics, https://doi.org/10.1016/j.aim.2019.106

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.

Principal nested shape space analysis of molecular dynamics data (2019)
Journal Article
Dryden, I. L., Kim, K., Laughton, C. A., & Le, H. (2019). Principal nested shape space analysis of molecular dynamics data. Annals of Applied Statistics, 13(4), 2213-2234. https://doi.org/10.1214/19-AOAS1277

Molecular dynamics simulations produce huge datasets of temporal sequences of molecules. It is of interest to summarize the shape evolution of the molecules in a succinct, low-dimensional representation. However, Euclidean techniques such as principa... Read More about Principal nested shape space analysis of molecular dynamics data.

Next generation neural mass and field modelling (2019)
Journal Article
Byrne, Á., O' Dea, R., Coombes, S., Forrester, M., & Ross, J. (2019). Next generation neural mass and field modelling. Journal of Neurophysiology, https://doi.org/10.1152/jn.00406.2019

The Wilson-Cowan population model of neural activity has greatly influenced our understanding of the mechanisms for the generation of brain rhythms and the emergence of structured brain activity. As well as the many insights that have been obtained f... Read More about Next generation neural mass and field modelling.

Tail expectile process and risk assessment (2019)
Journal Article
Daouia, A., Girard, S., & Stupfler, G. (2020). Tail expectile process and risk assessment. Bernoulli, 26(1), 531-556. https://doi.org/10.3150/19-BEJ1137

Expectiles define a least squares analogue of quantiles. They are determined by tail expectations rather than tail probabilities. For this reason and many other theoretical and practical merits, expectiles have recently received a lot of attention, e... Read More about Tail expectile process and risk assessment.

How a nonassociative algebra reflects the properties of a skew polynomial (2019)
Journal Article
Brown, C., & Pumpluen, S. (in press). How a nonassociative algebra reflects the properties of a skew polynomial. Glasgow Mathematical Journal, 1-21. https://doi.org/10.1017/s0017089519000478

Let D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation. For each f ϵ D[t, σ, δ] of degree m > 1 with a unit as leading coefficient, there exists a unital nonasso... Read More about How a nonassociative algebra reflects the properties of a skew polynomial.

Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics (2019)
Journal Article
Anwar, M., & Graham, R. S. (2019). Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics. Journal of Polymer Science Part B: Polymer Physics, 57(24), 1692-1704. https://doi.org/10.1002/polb.24904

This work aims to improve the use of Molecular Dynamics simulations of Kremer-Grest chains to inform future developments of models of entangled polymer dynamics. We perform non-equilibrium molecular dynamics simulations, under shear flow, for well en... Read More about Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics.