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Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn (2020)
Journal Article
Alatawi, M., & Zhang, K. (2020). Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn. Journal of Convex Analysis, 27(4),

We establish error estimates and Hausdorff stability for approximations and interpolations for sampled functions in Rn by using compensated convex transforms introduced previously by K. Zhang [Compensated convexity and its applications, Ann. l’Instit... Read More about Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in Rn.

Incorporating age and delay into models for biophysical systems (2020)
Journal Article
KhudaBukhsh, W. R., Kang, H., Kenah, E., & Rempa?a, G. A. (2021). Incorporating age and delay into models for biophysical systems. Physical Biology, 18(1), Article 015002. https://doi.org/10.1088/1478-3975/abc2ab

In many biological systems, chemical reactions or changes in a physical state are assumed to occur instantaneously. For describing the dynamics of those systems, Markov models that require exponentially distributed inter-event times have been used wi... Read More about Incorporating age and delay into models for biophysical systems.

Predator size affects the intensity of mutual interference in a predatory mirid (2020)
Journal Article
Papanikolaou, N. E., Dervisoglou, S., Fantinou, A., Kypraios, T., Giakoumaki, V., & Perdikis, D. (2020). Predator size affects the intensity of mutual interference in a predatory mirid. Ecology and Evolution, 11(3), 1342-1351. https://doi.org/10.1002/ece3.7137

1. Interference competition occurs when access to an available resource is negatively affected by interactions with other individuals, where mutual interference involves individuals of the same species. The interactive phenomena among individuals may... Read More about Predator size affects the intensity of mutual interference in a predatory mirid.

ISOTROPIC MOTIVES (2020)
Journal Article
Vishik, A. (2020). ISOTROPIC MOTIVES. Journal of the Institute of Mathematics of Jussieu, 21(4), 1271-1330. https://doi.org/10.1017/S1474748020000560

In this article we introduce the local versions of the Voevodsky category of motives with Fp coefficients over a field k, parameterized by finitely-generated extensions of k. We introduce the, so-called, flexible fields, passage to which is conservat... Read More about ISOTROPIC MOTIVES.

Experiences of the COVID-19 pandemic: cross-sectional analysis of risk perceptions and mental health in a student cohort (2020)
Working Paper
Jia, R., Knight, H., Blake, H., Corner, J., Denning, C., Ball, J., …Vedhara, K. Experiences of the COVID-19 pandemic: cross-sectional analysis of risk perceptions and mental health in a student cohort

Objective: This study examined the COVID-19 risk perceptions and mental health of university students on returning to campus in the midst of the COVID-19 pandemic. Methods: An online survey was completed during the first four weeks of the academic... Read More about Experiences of the COVID-19 pandemic: cross-sectional analysis of risk perceptions and mental health in a student cohort.

Adaptive regularisation for ensemble Kalman inversion (2020)
Journal Article
Iglesias, M. A., & Yang, Y. (2021). Adaptive regularisation for ensemble Kalman inversion. Inverse Problems, 37(2), Article 025008. https://doi.org/10.1088/1361-6420/abd29b

We propose a new regularisation strategy for the classical ensemble Kalman inversion (EKI) framework. The strategy consists of: (i) an adaptive choice for the regularisation parameter in the update formula in EKI, and (ii) criteria for the early stop... Read More about Adaptive regularisation for ensemble Kalman inversion.

Heterogeneous Multi-Rate mass transfer models in OPENFOAM® (2020)
Journal Article
Municchi, F., Di Pasquale, N., Dentz, M., & Icardi, M. (2021). Heterogeneous Multi-Rate mass transfer models in OPENFOAM®. Computer Physics Communications, 261, Article 107763. https://doi.org/10.1016/j.cpc.2020.107763

© 2020 Elsevier B.V. We implement the Multi-Rate Mass Transfer (MRMT) model for mobile–immobile transport in porous media (Haggerty and Gorelick, 1995; Municchi and Icardi, 2019 [1]) within the open-source finite volume library OPENFOAM® (Foundation,... Read More about Heterogeneous Multi-Rate mass transfer models in OPENFOAM®.

On the monoidal center of Deligne's category Re̲p(St) (2020)
Journal Article
Flake, J., & Laugwitz, R. (2021). On the monoidal center of Deligne's category Re̲p(St). Journal of the London Mathematical Society, 103(3), 1153-1185. https://doi.org/10.1112/jlms.12403

We explicitly compute a monoidal subcategory of the monoidal center of Deligne’s interpolation category Rep(St), for t not necessarily a natural number, and we show that this subcategory is a ribbon category. For t = n, a natural number, there exists... Read More about On the monoidal center of Deligne's category Re̲p(St).

Tunnelling around bends—Wave scattering in curved shell structures (2020)
Journal Article
Mohammed, N. M., Creagh, S. C., & Tanner, G. (2021). Tunnelling around bends—Wave scattering in curved shell structures. Wave Motion, 101, Article 102697. https://doi.org/10.1016/j.wavemoti.2020.102697

A ray dynamics describing wave transport on curved and smooth thin shells can be obtained from the underlying wave equations via the Eikonal approximation. We analyse mid-frequency effects near the ring frequency for curved plates consisting of a cyl... Read More about Tunnelling around bends—Wave scattering in curved shell structures.

Smoothing splines on Riemannian manifolds, with applications to 3D shape space (2020)
Journal Article
Kim, K. R., Dryden, I. L., Le, H., & Severn, K. E. (2021). Smoothing splines on Riemannian manifolds, with applications to 3D shape space. Journal of the Royal Statistical Society: Series B, 83(1), 108-132. https://doi.org/10.1111/rssb.12402

© 2020 The Authors. Journal of the Royal Statistical Society: Series B (Statistical Methodology) published by John Wiley & Sons Ltd on behalf of Royal Statistical Society There has been increasing interest in statistical analysis of data lying in m... Read More about Smoothing splines on Riemannian manifolds, with applications to 3D shape space.

Diffraction of Wigner functions (2020)
Journal Article
Creagh, S., Sieber, M., Gradoni, G., & Tanner, G. K. (2021). Diffraction of Wigner functions. Journal of Physics A: Mathematical and Theoretical, 54(1), Article 015701. https://doi.org/10.1088/1751-8121/abc72a

We describe the contribution of diffractive orbits to semiclassical approximations of Wigner function propagators. These contributions are based on diffractively scattered rays used in the geometrical theory of diffraction (GTD). They provide an exte... Read More about Diffraction of Wigner functions.

Cylindrical rotating Rayleigh-Taylor instability (2020)
Journal Article
Scase, M. M., & Sengupta, S. (2021). Cylindrical rotating Rayleigh-Taylor instability. Journal of Fluid Mechanics, 907, Article A33. https://doi.org/10.1017/jfm.2020.842

We consider a spun-up system of an inner cylinder of fluid surrounded by an outer fluid layer within a rotating cylindrical container, in the absence of gravity. The outer layer may be of differing density and viscosity to the inner layer. If the inn... Read More about Cylindrical rotating Rayleigh-Taylor instability.

Discretization of linear problems in banach spaces: Residual minimization, nonlinear petrov-galerkin, and monotone mixed methods (2020)
Journal Article
Muga, I., & Van Der Zee, K. G. (2020). Discretization of linear problems in banach spaces: Residual minimization, nonlinear petrov-galerkin, and monotone mixed methods. SIAM Journal on Numerical Analysis, 58(6), 3406-3426. https://doi.org/10.1137/20M1324338

This work presents a comprehensive discretization theory for abstract linear operator equations in Banach spaces. The fundamental starting point of the theory is the idea of residual minimization in dual norms and its inexact version using discrete d... Read More about Discretization of linear problems in banach spaces: Residual minimization, nonlinear petrov-galerkin, and monotone mixed methods.

Interferometric Unruh Detectors for Bose-Einstein Condensates (2020)
Journal Article
Gooding, C., Biermann, S., Erne, S., Louko, J., Unruh, W. G., Schmiedmayer, J., & Weinfurtner, S. (2020). Interferometric Unruh Detectors for Bose-Einstein Condensates. Physical Review Letters, 125(21), Article 213603. https://doi.org/10.1103/PhysRevLett.125.213603

The Unruh effect predicts a thermal response for an accelerated detector moving through the vacuum. Here we propose an interferometric scheme to observe an analogue of the circular Unruh effect using a localized laser coupled to a Bose-Einstein conde... Read More about Interferometric Unruh Detectors for Bose-Einstein Condensates.

A network of transcriptional repressors modulates auxin responses (2020)
Journal Article
Truskina, J., Han, J., Chrysanthou, E., Galvan-Ampudia, C. S., Lainé, S., Brunoud, G., …Vernoux, T. (2020). A network of transcriptional repressors modulates auxin responses. Nature, 589, 116–119. https://doi.org/10.1038/s41586-020-2940-2

The regulation of signalling capacity, combined with the spatiotemporal distribution of developmental signals themselves, is pivotal in setting developmental responses in both plants and animals. The hormone auxin is a key signal for plant growth and... Read More about A network of transcriptional repressors modulates auxin responses.

On the accuracy limits of plate theories for vibro-acoustic predictions (2020)
Journal Article
Arasan, U., Marchetti, F., Chevillotte, F., Tanner, G., Chronopoulos, D., & Gourdon, E. (2021). On the accuracy limits of plate theories for vibro-acoustic predictions. Journal of Sound and Vibration, 493, Article 115848. https://doi.org/10.1016/j.jsv.2020.115848

Several vibro-acoustic models for either single wall or multi-layer constructions are based on classical plate and first order shear deformation theories. The equivalent or condensed plate models employ the thin plate model to extract the dynamic mec... Read More about On the accuracy limits of plate theories for vibro-acoustic predictions.

A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma (2020)
Journal Article
Curtin, L., Hawkins-Daarud, A., Porter, A. B., van der Zee, K. G., Owen, M. R., & Swanson, K. R. (2020). A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma. Bulletin of Mathematical Biology, 82(11), Article 143. https://doi.org/10.1007/s11538-020-00814-y

Glioblastoma (GBM) is the most aggressive primary brain tumor with a short median survival. Tumor recurrence is a clinical expectation of this disease and usually occurs along the resection cavity wall. However, previous clinical observations have su... Read More about A Mechanistic Investigation into Ischemia-Driven Distal Recurrence of Glioblastoma.

Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition (2020)
Journal Article
Fine, J., Krasnov, K., & Singer, M. (2020). Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition. Mathematische Annalen, 379, 569–588. https://doi.org/10.1007/s00208-020-02097-z

Let (M, g) be a compact oriented Einstein 4-manifold. Write R+ for the part of the curvature operator of g which acts on self-dual 2-forms. We prove that if R+ is negative definite then g is locally rigid: any other Einstein metric near to g is isome... Read More about Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition.

Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions (2020)
Journal Article
Biermann, S., Erne, S., Gooding, C., Louko, J., Schmiedmayer, J., Unruh, W. G., & Weinfurtner, S. (2020). Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions. Physical Review D, 102(8), Article 085006. https://doi.org/10.1103/PhysRevD.102.085006

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration a experiences Minkowski vacuum as a thermal state in the temperature Tlin=a/(2?), operationally measurable via the detailed balance condition between exci... Read More about Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions.

Assessing the impact of physicochemical parameters in the predictive capabilities of thermodynamics-based stoichiometric approaches under mesophilic and thermophilic conditions (2020)
Working Paper
Tomi-Andrino, C., Norman, R., Millat, T., Soucaille, P., Winzer, K., Barrett, D. A., …Kim, D. Assessing the impact of physicochemical parameters in the predictive capabilities of thermodynamics-based stoichiometric approaches under mesophilic and thermophilic conditions

Metabolic engineering in the post-genomic era is characterised by the development of new methods for metabolomics and fluxomics, supported by the integration of genetic engineering tools and mathematical modelling. Particularly, constraint-based stoi... Read More about Assessing the impact of physicochemical parameters in the predictive capabilities of thermodynamics-based stoichiometric approaches under mesophilic and thermophilic conditions.