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Quantifying reconnective activity in braided vector fields (2018)
Journal Article
Prior, C., & Yeates, A. (2018). Quantifying reconnective activity in braided vector fields. Physical Review E, 98(1), Article 013204. https://doi.org/10.1103/physreve.98.013204

We introduce a technique for evaluating the changing connectivity of a vector field whose integral curves (field lines) form tangled tubular bundles. Applications of such fields include magnetic flux ropes, relativistic plasma jets, stirred two-dimen... Read More about Quantifying reconnective activity in braided vector fields.

Convergence of non-symmetric diffusion processes on RCD spaces (2018)
Journal Article
Suzuki, K. (2018). Convergence of non-symmetric diffusion processes on RCD spaces. Calculus of Variations and Partial Differential Equations, 57(5), Article 120. https://doi.org/10.1007/s00526-018-1398-7

We construct non-symmetric diffusion processes associated with Dirichlet forms consisting of uniformly elliptic forms and derivation operators with killing terms on RCD spaces by aid of non-smooth differential structures introduced by Gigli (Mem Am M... Read More about Convergence of non-symmetric diffusion processes on RCD spaces.

Energy spectra and passive tracer cascades in turbulent flows (2018)
Journal Article
Jolly, M., & Wirosoetisno, D. (2018). Energy spectra and passive tracer cascades in turbulent flows. Journal of Mathematical Physics, 59(7), Article 073104. https://doi.org/10.1063/1.5046773

We study the influence of the energy spectrum on the extent of the cascade range of a passive tracer in turbulent flows. The interesting cases are when there are two different spectra over the potential range of the tracer cascade (in 2D when the tra... Read More about Energy spectra and passive tracer cascades in turbulent flows.

Rigidity theorems for multiplicative functions (2018)
Journal Article
Klurman, O., & Mangerel, A. P. (2018). Rigidity theorems for multiplicative functions. Mathematische Annalen, 372(1-2), 651–697. https://doi.org/10.1007/s00208-018-1724-6

We establish several results concerning the expected general phenomenon that, given a multiplicative function f:N→C
, the values of f(n) and f(n+a) are “generally” independent unless f is of a “special” form. First, we classify all bounded completel... Read More about Rigidity theorems for multiplicative functions.

Iterative Importance Sampling for Estimating Expectation Bounds Under Partial Probability Specifications (2018)
Presentation / Conference Contribution
Troffaes, M. C., Fetz, T., & Oberguggenberger, M. (2018, July). Iterative Importance Sampling for Estimating Expectation Bounds Under Partial Probability Specifications. Presented at 8th International Workshop on Reliable Engineering Computing (REC2018), Liverpool, UK

In this paper, we explore and enhance importance sampling techniques for calculating lower and upper expectations with respect to sets of probability distributions. We formalize an iterative algorithm that we proposed in earlier work, by formulating... Read More about Iterative Importance Sampling for Estimating Expectation Bounds Under Partial Probability Specifications.

Local convergence of spectra and pseudospectra (2018)
Journal Article
Boegli, S. (2018). Local convergence of spectra and pseudospectra. Journal of Spectral Theory, 8(3), 1051-1098. https://doi.org/10.4171/jst/222

We prove local convergence results for the spectra and pseudospectra of sequences of linear operators acting in different Hilbert spaces and converging in generalised strong resolvent sense to an operator with possibly non-empty essential spectrum. W... Read More about Local convergence of spectra and pseudospectra.

Box-Cox response transformations for random effect models (2018)
Presentation / Conference Contribution
Almohaimeed, A., & Einbeck, J. (2018, July). Box-Cox response transformations for random effect models. Presented at International Workshop on Statistical Modelling, Bristol

For the linear model with random effects of unspecified distribution, we develop methodology for simultaneous response transformation and estimation of regres- sion parameters. This is achieved by extending the Nonparametric Maximum Likelihood toward... Read More about Box-Cox response transformations for random effect models.

New worldsheet formulae for conformal supergravity amplitudes (2018)
Journal Article
Farrow, J. A., & Lipstein, A. E. (2018). New worldsheet formulae for conformal supergravity amplitudes. Journal of High Energy Physics, 2018(7), Article 074. https://doi.org/10.1007/jhep07%282018%29074

We use 4d ambitwistor string theory to derive new worldsheet formulae for tree-level conformal supergravity amplitudes supported on refined scattering equations. Unlike the worldsheet formulae for super-Yang-Mills or supergravity, the scattering equa... Read More about New worldsheet formulae for conformal supergravity amplitudes.

Real Space Sextics and their Tritangents (2018)
Presentation / Conference Contribution
Kulkarni, A., Ren, Y., Sayyary Namin, M., & Sturmfels, B. (2018, December). Real Space Sextics and their Tritangents. Presented at Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation

The intersection of a quadric and a cubic surface in 3-space is a canonical curve of genus 4. It has 120 complex tritangent planes. We present algorithms for computing real tritangents, and we study the associated discriminants. We focus on space sex... Read More about Real Space Sextics and their Tritangents.

Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM (2018)
Journal Article
Heslop, P., & Tran, V. (2018). Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM. Journal of High Energy Physics, 2018(07), Article 068. https://doi.org/10.1007/jhep07%282018%29068

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N = 4 super Yang-Mills contains a certain combination of n-point amplitude in... Read More about Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM.

Sub-picosecond proton tunnelling in deformed DNA hydrogen bonds under an asymmetric double-oscillator model (2018)
Journal Article
Luo, J. (2018). Sub-picosecond proton tunnelling in deformed DNA hydrogen bonds under an asymmetric double-oscillator model. The European Physical Journal E, 41(7), Article 81. https://doi.org/10.1140/epje/i2018-11690-y

We present a model of proton tunnelling across DNA hydrogen bonds, compute the characteristic tunnelling time (CTT) from donor to acceptor and discuss its biological implications. The model is a double oscillator characterised by three geometry param... Read More about Sub-picosecond proton tunnelling in deformed DNA hydrogen bonds under an asymmetric double-oscillator model.

Bayesian graphical models for high complexity testing: aspects of implementation (2018)
Book Chapter
Wooff, D., Goldstein, M., & Coolen, F. (2018). Bayesian graphical models for high complexity testing: aspects of implementation. In R. Kenett, F. Ruggeri, & F. Faltin (Eds.), Analytic methods in systems and software testing (213-243). Wiley. https://doi.org/10.1002/9781119357056.ch8

This chapter presents a brief review of the Bayesian graphical models (BGM) approach to software testing, which the authors developed in close collaboration with industrial software testers. It provides discussion of a range of topics for practical i... Read More about Bayesian graphical models for high complexity testing: aspects of implementation.

Bakry-Émery Curvature Functions on Graphs (2018)
Journal Article
Cushing, D., Liu, S., & Peyerimhoff, N. (2020). Bakry-Émery Curvature Functions on Graphs. Canadian Journal of Mathematics, 72(1), 89-143. https://doi.org/10.4153/cjm-2018-015-4

We study local properties of the Bakry-Émery curvature function KG,x:(0,∞]→R at a vertex x of a graph G systematically. Here KG,x(N) is defined as the optimal curvature lower bound K in the Bakry-Émery curvature-dimension inequality CD(K,N) that x sa... Read More about Bakry-Émery Curvature Functions on Graphs.

Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses (2018)
Journal Article
Luo, J., & Piette, B. (2018). Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses. Physical Review E, 98(1), Article 012401. https://doi.org/10.1103/physreve.98.012401

We study the propagation of α-helix polarons in a model describing the nonadiabatic interaction between an electron and a lattice of quantum mechanical oscillators at physiological temperature. We show that when excited by a subpicosecond electric pu... Read More about Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses.

Imprecise Monte Carlo simulation and iterative importance sampling for the estimation of lower previsions (2018)
Journal Article
Troffaes, M. C. (2018). Imprecise Monte Carlo simulation and iterative importance sampling for the estimation of lower previsions. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 101, 31-48. https://doi.org/10.1016/j.ijar.2018.06.009

We develop a theoretical framework for studying numerical estimation of lower previsions, generally applicable to two-level Monte Carlo methods, importance sampling methods, and a wide range of other sampling methods one might devise. We link consist... Read More about Imprecise Monte Carlo simulation and iterative importance sampling for the estimation of lower previsions.

Large-scale messengers from massive higher spin fields (2018)
Journal Article
Anber, M. M. (2018). Large-scale messengers from massive higher spin fields. Journal of High Energy Physics, 2018(6), Article 154. https://doi.org/10.1007/jhep06%282018%29154

We show that nonperturbative production of massive higher spin fields from vacuum will accompany the generation of non-vanishing macroscopic energy-momentum tensor correlators. This argument is based on the general causal field formalism, which gives... Read More about Large-scale messengers from massive higher spin fields.

The KDIGO acute kidney injury guidelines for cardiac surgery patients in critical care: a validation study (2018)
Journal Article
Howitt, S. H., Grant, S. W., Caiado, C., Carlson, E., Kwon, D., Dimarakis, I., Malagon, I., & McCollum, C. (2018). The KDIGO acute kidney injury guidelines for cardiac surgery patients in critical care: a validation study. BMC Nephrology, 19(1), Article 149. https://doi.org/10.1186/s12882-018-0946-x

Background The Kidney Disease: Improving Global Outcomes (KDIGO) Acute Kidney Injury (AKI) guidelines assign the same stage of AKI to patients whether they fulfil urine output criteria, serum creatinine criteria or both criteria for that stage. This... Read More about The KDIGO acute kidney injury guidelines for cardiac surgery patients in critical care: a validation study.

GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings (2018)
Journal Article
Abel, S., Dienes, K. R., & Mavroudi, E. (2018). GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings. Physical Review D, 97(12), Article 126017. https://doi.org/10.1103/physrevd.97.126017

Recent work has established a method of constructing nonsupersymmetric string models that are stable, with near-vanishing one-loop dilaton tadpoles and cosmological constants. This opens up the tantalizing possibility of realizing stable string model... Read More about GUT precursors and entwined SUSY: The phenomenology of stable nonsupersymmetric strings.