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Bak-Sneppen-type models and rank-driven processes (2011)
Journal Article
Grinfeld, M., Knight, P. A., & Wade, A. R. (2011). Bak-Sneppen-type models and rank-driven processes. Physical review E: Statistical, nonlinear, and soft matter physics, 84(4), Article 041124. https://doi.org/10.1103/physreve.84.041124

The Bak-Sneppen model is a well-known stochastic model of evolution that exhibits self-organized criticality; only a few analytical results have been established for it so far. We report a surprising connection between Bak-Sneppen-type models and mor... Read More about Bak-Sneppen-type models and rank-driven processes.

A Generalized Flux Function for Three-dimensional Magnetic Reconnection (2011)
Journal Article
Yeates, A., & Hornig, G. (2011). A Generalized Flux Function for Three-dimensional Magnetic Reconnection. Physics of Plasmas, 18(10), Article 102118. https://doi.org/10.1063/1.3657424

The definition and measurement of magnetic reconnection in three-dimensional magnetic fields with multiple reconnection sites is a challenging problem, particularly in fields lacking null points. We propose a generalization of the familiar two-dimens... Read More about A Generalized Flux Function for Three-dimensional Magnetic Reconnection.

Open multiple M2-branes I: quantum geometry of the M5-brane in a C-field. (2011)
Journal Article
Chu, C., & Smith, D. J. (2011). Open multiple M2-branes I: quantum geometry of the M5-brane in a C-field. General Relativity and Gravitation, 43(9), 2467-2478. https://doi.org/10.1007/s10714-010-1127-9

We show that the Nahm equation and the Basu–Harvey equation which provide the fuzzy funnel description can be understood as the boundary condition of the F1-strings or M2-branes probing the intersecting branes system. In particular the noncommutative... Read More about Open multiple M2-branes I: quantum geometry of the M5-brane in a C-field..

Probability boxes on totally preordered spaces for multivariate modelling (2011)
Journal Article
Troffaes, M. C., & Destercke, S. (2011). Probability boxes on totally preordered spaces for multivariate modelling. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 52(6), 767-791. https://doi.org/10.1016/j.ijar.2011.02.001

A pair of lower and upper cumulative distribution functions, also called probability box or p-box, is among the most popular models used in imprecise probability theory. They arise naturally in expert elicitation, for instance in cases where bounds a... Read More about Probability boxes on totally preordered spaces for multivariate modelling.

MHV diagrams from an all-loop recursion relation (2011)
Journal Article
Bullimore, M. (2011). MHV diagrams from an all-loop recursion relation. Journal of High Energy Physics, 2011(08), Article 107. https://doi.org/10.1007/jhep08%282011%29107

We derive an all-loop recursion relation for the rational integrands of scattering amplitudes in planar N=4 super Yang-Mills theory. The recursion relation is generated by an all-line shift of momentum twistors. We solve the recursion relation in det... Read More about MHV diagrams from an all-loop recursion relation.

A proof of the correlation function/supersymmetric Wilson loop correspondence (2011)
Journal Article
Adamo, T., Bullimore, M., Mason, L., & Skinner, D. (2011). A proof of the correlation function/supersymmetric Wilson loop correspondence. Journal of High Energy Physics, 2011(08), Article 076. https://doi.org/10.1007/jhep08%282011%29076

We prove that in the limit when its insertion points become pairwise null-separated, the ratio of certain n-point correlation functions in N=4 SYM is equal to a supersymmetric Wilson loop on twistor space, acting in the adjoint representation. In the... Read More about A proof of the correlation function/supersymmetric Wilson loop correspondence.

Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm (2011)
Journal Article
Faulkner, T., Liu, H., & Rangamani, M. (2011). Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm. Journal of High Energy Physics, 2011(8), Article 051. https://doi.org/10.1007/jhep08%282011%29051

We formulate a holographic Wilsonian renormalization group flow for strongly coupled systems with a gravity dual, motivated by the need to extract efficiently low energy behavior of such systems. Starting with field theories defined on a cut-off surf... Read More about Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm.