Outputs (203)

Doubly slice knots and metabelian obstructions (2021)
Journal Article
Orson, P., & Powell, M. (2022). Doubly slice knots and metabelian obstructions. Journal of Topology and Analysis, 14(4), 847-873. https://doi.org/10.1142/s1793525321500229

An n-dimensional knot Sn⊂Sn+2 is called doubly slice if it occurs as the cross section of some unknotted (n+1)-dimensional knot. For every n it is unknown which knots are doubly slice, and this remains one of the biggest unsolved problems in high-dim... Read More about Doubly slice knots and metabelian obstructions.

Ising model as a U(1) lattice gauge theory with a θ -term (2021)
Journal Article
Sulejmanpasic, T. (2021). Ising model as a U(1) lattice gauge theory with a θ -term. Physical Review D, 103(3), Article 034512. https://doi.org/10.1103/physrevd.103.034512

We discuss a gauged XY model a θ -term on an arbitrary lattice in 1 + 1 dimensions and show that the theory reduces exactly to the 2d Ising model on the dual lattice in the limit of the strong gauge coupling, provided that the topological term is def... Read More about Ising model as a U(1) lattice gauge theory with a θ -term.

Modality-Constrained Density Estimation via Deformable Templates (2021)
Journal Article
Dasgupta, S., Pati, D., Jermyn, I. H., & Srivastava, A. (2021). Modality-Constrained Density Estimation via Deformable Templates. Technometrics, 63(4), 536-547. https://doi.org/10.1080/00401706.2020.1867647

Estimation of a probability density function (pdf) from its samples, while satisfying certain shape constraints, is an important problem that lacks coverage in the literature. This article introduces a novel geometric, deformable template constrained... Read More about Modality-Constrained Density Estimation via Deformable Templates.

Efficient Algorithms for Approximating Quantum Partition Functions (2021)
Journal Article
Helmuth, T., & Mann, R. (2021). Efficient Algorithms for Approximating Quantum Partition Functions. Journal of Mathematical Physics, 62(2), Article 022201. https://doi.org/10.1063/5.0013689

Justified Stories with Agent-Based Modelling for Local COVID-19 Planning (2021)
Journal Article
Badham, J., Barbrook-Johnson, P., Caiado, C., & Castellani, B. (2021). Justified Stories with Agent-Based Modelling for Local COVID-19 Planning. Journal of Artificial Societies and Social Simulation, 24(1), Article 8. https://doi.org/10.18564/jasss.4532

This paper presents JuSt-Social, an agent-based model of the COVID-19 epidemic with a range of potential social policy interventions. It was developed to support local authorities in North East England who are making decisions in a fast moving crisis... Read More about Justified Stories with Agent-Based Modelling for Local COVID-19 Planning.

Teaching a large-scale crystallography school with Zoom Webinar (2021)
Journal Article
Ferrara, J. D., Cochran, A., Del Campo, M., Gob, C. R., Le Magueres, P., Meyer, M., Puschmann, H., Schurmann, C., Stanley, A., Swepston, P. N., Tripathi, A., White, F., & Wojciechowski, J. (2021). Teaching a large-scale crystallography school with Zoom Webinar. Structural Dynamics, 8(1), Article 010401. https://doi.org/10.1063/4.0000078

G 4 flux, algebraic cycles and complex structure moduli stabilization (2021)
Journal Article
Braun, A., & Valandro, R. (2021). G 4 flux, algebraic cycles and complex structure moduli stabilization. Journal of High Energy Physics, 2021(1), Article 207. https://doi.org/10.1007/jhep01%282021%29207

We construct G4 fluxes that stabilize all of the 426 complex structure moduli of the sextic Calabi-Yau fourfold at the Fermat point. Studying flux stabilization usually requires solving Picard-Fuchs equations, which becomes unfeasible for models with... Read More about G 4 flux, algebraic cycles and complex structure moduli stabilization.

Optimal unstirred state of a passive scalar (2021)
Journal Article
Chen, L., Yeates, A., & Russell, A. (2021). Optimal unstirred state of a passive scalar. Journal of Fluid Mechanics, 911, https://doi.org/10.1017/jfm.2020.1154

The construction of Green currents and singular theta lifts for unitary groups (2021)
Journal Article
Funke, J., & Hofmann, E. (2021). The construction of Green currents and singular theta lifts for unitary groups. Transactions of the American Mathematical Society, 374(4), 2909-2947. https://doi.org/10.1090/tran/8289

With applications in the Kudla program in mind we employ singular theta lifts for the reductive dual pair $ \mathrm {U}(p,q)\times \mathrm {U}(1,1)$ to construct two different kinds of Green forms for codimension $ q$-cycles in Shimura varieties asso... Read More about The construction of Green currents and singular theta lifts for unitary groups.

N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space (2021)
Journal Article
Armstrong, C., Farrow, J. A., & Lipstein, A. E. (2021). N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space. Journal of High Energy Physics, 2021(1), Article 181. https://doi.org/10.1007/jhep01%282021%29181

We derive an on-shell diagram recursion for tree-level scattering amplitudes in N = 7 supergravity. The diagrams are evaluated in terms of Grassmannian integrals and momentum twistors, generalising previous results of Hodges in momentum twistor space... Read More about N = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space.