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The Possible Impact of L5 Magnetograms on Non-Potential Solar Coronal Magnetic Field Simulations (2016)
Journal Article
Weinzierl, M., Mackay, D. H., Yeates, A. R., & Pevtsov, A. A. (2016). The Possible Impact of L5 Magnetograms on Non-Potential Solar Coronal Magnetic Field Simulations. Astrophysical Journal, 828(2), Article 102. https://doi.org/10.3847/0004-637x/828/2/102

The proposed Carrington-L5 mission would bring instruments to the L5 Lagrange point to provide us with crucial data for space weather prediction. To assess the importance of including a magnetograph, we consider the possible differences in non-potent... Read More about The Possible Impact of L5 Magnetograms on Non-Potential Solar Coronal Magnetic Field Simulations.

Ergodic backward stochastic difference equations (2016)
Journal Article
Allan, A. L., & Cohen, S. N. (2016). Ergodic backward stochastic difference equations. Stochastics: An International Journal of Probability and Stochastic Processes, 88(8), 1207-1239. https://doi.org/10.1080/17442508.2016.1224881

We consider ergodic backward stochastic differential equations in a discrete time setting, where noise is generated by a finite state Markov chain. We show existence and uniqueness of solutions, along with a comparison theorem. To obtain this result,... Read More about Ergodic backward stochastic difference equations.

A Converging Lagrangian Flow in the Space of Oriented Line (2016)
Journal Article
Guilfoyle, B., & Klingenberg, W. (2016). A Converging Lagrangian Flow in the Space of Oriented Line. Kyushu journal of mathematics, 70(2), 343-351. https://doi.org/10.2206/kyushujm.70.343

Under mean radius of curvature flow, a closed convex surface in Euclidean space is known to expand exponentially to infinity. In the three-dimensional case we prove that the oriented normals to the flowing surface converge to the oriented normals of... Read More about A Converging Lagrangian Flow in the Space of Oriented Line.

Knot theory in modern chemistry (2016)
Journal Article
Horner, K. E., Miller, M. A., Steed, J. W., & Sutcliffe, P. M. (2016). Knot theory in modern chemistry. Chemical Society Reviews, 45(23), 6432-6448. https://doi.org/10.1039/c6cs00448b

Knot theory is a branch of pure mathematics, but it is increasingly being applied in a variety of sciences. Knots appear in chemistry, not only in synthetic molecular design, but also in an array of materials and media, including some not traditional... Read More about Knot theory in modern chemistry.

On the micro-to-macro limit for first-order traffic flow models on networks (2016)
Journal Article
Cristiani, E., & Sahu, S. (2016). On the micro-to-macro limit for first-order traffic flow models on networks. Networks and Heterogeneous Media, 11(3), 395-413. https://doi.org/10.3934/nhm.2016002

Connections between microscopic follow-the-leader and macroscopic fluid-dynamics traffic flow models are already well understood in the case of vehicles moving on a single road. Analogous connections in the case of road networks are instead lacking.... Read More about On the micro-to-macro limit for first-order traffic flow models on networks.

Bayesian nonparametric system reliability using sets of priors (2016)
Journal Article
Walter, G., Aslett, L., & Coolen, F. (2017). Bayesian nonparametric system reliability using sets of priors. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 80(1), 67-88. https://doi.org/10.1016/j.ijar.2016.08.005

An imprecise Bayesian nonparametric approach to system reliability with multiple types of components is developed. This allows modelling partial or imperfect prior knowledge on component failure distributions in a flexible way through bounds on the f... Read More about Bayesian nonparametric system reliability using sets of priors.

Accurate Morphology Preserving Segmentation of Overlapping Cells based on Active Contours (2016)
Journal Article
Molnar, C., Jermyn, I. H., Kato, Z., Rahkama, V., Östling, P., Mikkonen, P., …Horvath, P. (2016). Accurate Morphology Preserving Segmentation of Overlapping Cells based on Active Contours. Scientific Reports, 6, Article 32412. https://doi.org/10.1038/srep32412

The identification of fluorescently stained cell nuclei is the basis of cell detection, segmentation, and feature extraction in high content microscopy experiments. The nuclear morphology of single cells is also one of the essential indicators of phe... Read More about Accurate Morphology Preserving Segmentation of Overlapping Cells based on Active Contours.

Holography on non-orientable surfaces (2016)
Journal Article
Maloney, A., & Ross, S. F. (2016). Holography on non-orientable surfaces. Classical and Quantum Gravity, 33(18), Article 185006. https://doi.org/10.1088/0264-9381/33/18/185006

We consider the holographic computation of two-dimensional conformal field theory partition functions on non-orientable surfaces. We classify the three dimensional geometries that give bulk saddle point contributions to the partition function, and fi... Read More about Holography on non-orientable surfaces.

Minimal mutation-infinite quivers (2016)
Journal Article
Lawson, J. (2017). Minimal mutation-infinite quivers. Experimental Mathematics, 26(3), 308-323. https://doi.org/10.1080/10586458.2016.1166353

Quivers constructed from hyperbolic Coxeter simplices give examples of minimal mutation-infinite quivers; however, they are not the only such quivers. We classify minimal mutation-infinite quivers through a number of moves and link the representative... Read More about Minimal mutation-infinite quivers.