Outputs (209)

Scheduling the repair of aircraft components - a case study (2016)
Journal Article
Avelino, C., Bourne, D., Ferreira, F., Rasteiro, D., & Santos, J. (2016). Scheduling the repair of aircraft components - a case study. Mathematics-in-industry case studies, 7(1), Article 5. https://doi.org/10.1186/s40929-016-0007-2

In aircraft components maintenance shops, components are distributed amongst repair groups and their respective technicians based on the type of repair, on the technicians skills and workload, and on the customer required dates. This distribution pla... Read More about Scheduling the repair of aircraft components - a case study.

Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere (2016)
Journal Article
Pasquinelli, I. (2016). Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere. Conformal Geometry and Dynamics, 20(12), 235-281. https://doi.org/10.1090/ecgd/299

Deligne and Mostow constructed a class of lattices in $ PU(2,1)$ using monodromy of hypergeometric functions. Thurston reinterpreted them in terms of cone metrics on the sphere. In this spirit we construct a fundamental domain for the lattices with t... Read More about Deligne-Mostow lattices with three fold symmetry and cone metrics on the sphere.

Blanchfield forms and Gordian distance (2016)
Journal Article
Borodzik, M., Friedl, S., & Powell, M. (2016). Blanchfield forms and Gordian distance. Journal of the Mathematical Society of Japan, 68(3), 1047-1080. https://doi.org/10.2969/jmsj/06831047

Given a link in S3S3 we will use invariants derived from the Alexander module and the Blanchfield pairing to obtain lower bounds on the Gordian distance between links, the unlinking number and various splitting numbers. These lower bounds generalise... Read More about Blanchfield forms and Gordian distance.

Resurgence in η-deformed Principal Chiral Models (2016)
Journal Article
Demulder, S., Dorigoni, D., & Thompson, D. (2016). Resurgence in η-deformed Principal Chiral Models. Journal of High Energy Physics, 2016(07), Article 088. https://doi.org/10.1007/jhep07%282016%29088

We study the SU(2) Principal Chiral Model (PCM) in the presence of an integrable η-deformation. We put the theory on R×S1R×S1 with twisted boundary conditions and then reduce the circle to obtain an effective quantum mechanics associated with the Whi... Read More about Resurgence in η-deformed Principal Chiral Models.

Uniqueness issues for evolution equations with density constraints (2016)
Journal Article
Di Marino, S., & Mészáros, A. R. (2016). Uniqueness issues for evolution equations with density constraints. Mathematical Models and Methods in Applied Sciences, 26(09), 1761-1783. https://doi.org/10.1142/s0218202516500445

In this paper, we present some basic uniqueness results for evolution equations under density constraints. First, we develop a rigorous proof of a well-known result (among specialists) in the case where the spontaneous velocity field satisfies a mono... Read More about Uniqueness issues for evolution equations with density constraints.

Study of knots in material culture (2016)
Journal Article
Scanlon, L. A. (2016). Study of knots in material culture. Journal of Knot Theory and Its Ramifications, 25(09), Article 1641015. https://doi.org/10.1142/s0218216516410157

In this paper we will discuss knots in material culture, giving an overview of their importance and range of usage. We will then discuss a method of characterization for these knots and a method to study these knots through cultural evolution. We the... Read More about Study of knots in material culture.

Roaming form factors for the tricritical to critical Ising flow (2016)
Journal Article
Horváth, D., Dorey, P., & Takács, G. (2016). Roaming form factors for the tricritical to critical Ising flow. Journal of High Energy Physics, 2016(7), Article 051. https://doi.org/10.1007/jhep07%282016%29051

We study the massless flows described by the staircase model introduced by Al.B. Zamolodchikov through the analytic continuation of the sinh-Gordon S-matrix, focusing on the renormalisation group flow from the tricritical to the critical Ising model.... Read More about Roaming form factors for the tricritical to critical Ising flow.

Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients (2016)
Journal Article
Stella, S., & Tumarkin, P. (2016). Exchange relations for finite type cluster algebras with acyclic initial seed and principal coefficients. Symmetry, integrability and geometry: methods and applications, 12, Article 067. https://doi.org/10.3842/sigma.2016.067

We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.

Gradient test for generalised linear models with random effects (2016)
Presentation / Conference Contribution
da Silva-Junior, A., Einbeck, J., & Craig, P. (2016, July). Gradient test for generalised linear models with random effects. Presented at International Workshop on Statistical Modelling, Rennes, France

This work develops the gradient test for parameter selection in generalised linear models with random effects. Asymptotically, the test statistic has a chi-squared distribution and the statistic has a compelling feature: it does not require computati... Read More about Gradient test for generalised linear models with random effects.

A diagnostic plot for assessing model fit in count data models (2016)
Presentation / Conference Contribution
Einbeck, J., & Wilson, P. (2016, July). A diagnostic plot for assessing model fit in count data models. Presented at International Workshop on Statistical Modelling, Rennes, France

Whilst many numeric methods, such as AIC and deviance, exist for assessing model fit, diagrammatic methods are few. We present here a diagnostic plot, to which we refer as `Christmas tree plot' due its characteristic shape, that may be used to visual... Read More about A diagnostic plot for assessing model fit in count data models.