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Outputs (6)

Relaxed disk packing (2015)
Conference Proceeding
Edelsbrunner, E., Iglesias-Ham, M., Kurlin, V., Kouhestani, B., & Rappaport, D. (2015). Relaxed disk packing. In Proceedings of the 27th Canadian Conference on Computational Geometry, August 10-12, 2015, Queen’s University, Kingston, Ontario Canada (128-135)

Motivated by biological questions, we study configurations of equal-sized disks in the Euclidean plane that neither pack nor cover. Measuring the quality by the probability that a random point lies in exactly one disk, we show that the regular hexago... Read More about Relaxed disk packing.

Data Analysis and Robust Modelling of the Impact of Renewable Generation on Long Term Security of Supply and Demand (2015)
Conference Proceeding
Troffaes, M. C., Williams, E., & Dent, C. J. (2015). Data Analysis and Robust Modelling of the Impact of Renewable Generation on Long Term Security of Supply and Demand. In 2015 IEEE Power and Energy Society General Meeting (1-5). https://doi.org/10.1109/pesgm.2015.7286070

This paper studies rigorous statistical techniques for modelling long term reliability of demand and supply of electrical power given uncertain variability in the generation and availability of wind power and conventional generation. In doing so, we... Read More about Data Analysis and Robust Modelling of the Impact of Renewable Generation on Long Term Security of Supply and Demand.

Modelling Uncertainty in Pore Pressure Using Dynamic Bayesian Networks (2015)
Conference Proceeding
Oughton, R., Wooff, D., Swarbrick, R., & Hobbs, R. (2015). Modelling Uncertainty in Pore Pressure Using Dynamic Bayesian Networks. . https://doi.org/10.3997/2214-4609.201413296

Pore pressure prediction is vital when drilling a well, as unexpected overpressure can cause drilling challenges and uncontrolled hydrocarbon leakage. Predictions often use porosity-based techniques, relying on an idealised compaction trend and using... Read More about Modelling Uncertainty in Pore Pressure Using Dynamic Bayesian Networks.

Complex hyperbolic free groups with many parabolic elements (2015)
Conference Proceeding
Parker, J. R., & Will, P. (2015). Complex hyperbolic free groups with many parabolic elements. In Geometry, groups and dynamics : ICTS program : groups, geometry and dynamics, December 3-16, 2012, Almora, India (327-348). https://doi.org/10.1090/conm/639/12782

We consider in this work representations of the of the fundamental group of the 3-punctured sphere in PU(2,1) such that the boundary loops are mapped to PU(2,1) . We provide a system of coordinates on the corresponding representation variety, and ana... Read More about Complex hyperbolic free groups with many parabolic elements.

A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages (2015)
Conference Proceeding
Kurlin, V. (2015). A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages. In Proceedings of the 6th International Conference on Information Visualization Theory and Applications, IVAPP-2015, 11-14 March 2015, Berlin, Germany (5-16). https://doi.org/10.5220/0005259900050016

We introduce simple codes and fast visualization tools for knotted structures in molecules and neural networks. Knots, links and more general knotted graphs are studied up to an ambient isotopy in Euclidean 3-space. A knotted graph can be represented... Read More about A Linear Time Algorithm for Visualizing Knotted Structures in 3 Pages.