Skip to main content

Research Repository

Advanced Search

All Outputs (235)

Framed cobordism and flow category moves (2018)
Journal Article
Lobb, A., Orson, P., & Schuetz, D. (2018). Framed cobordism and flow category moves. Algebraic & geometric topology, 18, 2821-2858. https://doi.org/10.2140/agt.2018.18.2821

Framed flow categories were introduced by Cohen, Jones and Segal as a way of encoding the flow data associated to a Floer functional. A framed flow category gives rise to a CW complex with one cell for each object of the category. The idea is that th... Read More about Framed cobordism and flow category moves.

Navier–Stokes equations on the β-plane: Determining modes and nodes (2018)
Journal Article
Miyajima, N., & Wirosoetisno, D. (2019). Navier–Stokes equations on the β-plane: Determining modes and nodes. Physica D: Nonlinear Phenomena, 386-387, 31-37. https://doi.org/10.1016/j.physd.2018.08.005

We revisit the 2d Navier–Stokes equations on the periodic β-plane, with the Coriolis parameter varying asβy, and obtain bounds on the number of determining modes and nodes of the flow. The number of modesand nodes scale as c G1/20+ c′(M/β)1/2and c G2... Read More about Navier–Stokes equations on the β-plane: Determining modes and nodes.

Relativistic collapse of axion stars (2018)
Journal Article
Michel, F., & Moss, I. G. (2018). Relativistic collapse of axion stars. Physics Letters B, 785, 9-13. https://doi.org/10.1016/j.physletb.2018.07.063

We study the gravitational collapse of axion dark matter in null coordinates, assuming spherical symmetry. Compared with previous studies, we use a simpler numerical scheme which can run, for relevant parameters, in a few minutes or less on a desktop... Read More about Relativistic collapse of axion stars.

On the topological computation of K_4 of the Gaussian and Eisenstein integers (2018)
Journal Article
Gangl, H., Dutour Sikiriˇc, M., Gunnells, P., Hanke, J., Schuermann, A., & Yasaki, D. (2019). On the topological computation of K_4 of the Gaussian and Eisenstein integers. Journal of Homotopy and Related Structures, 14, 281-291. https://doi.org/10.1007/s40062-018-0212-8

In this paper we use topological tools to investigate the structure of the algebraic K-groups K4(R) for R=Z[i] and R=Z[ρ] where i:=−1−−−√ and ρ:=(1+−3−−−√)/2. We exploit the close connection between homology groups of GLn(R) for n≤5 and those of rela... Read More about On the topological computation of K_4 of the Gaussian and Eisenstein integers.

Synthesis, crystal structure and DNA/protein binding of tetranuclear Cu(II) complexes with a double-open-cubane like core framework (2018)
Journal Article
Paul, A., Puschmann, H., & Manna, S. C. (2018). Synthesis, crystal structure and DNA/protein binding of tetranuclear Cu(II) complexes with a double-open-cubane like core framework. Polyhedron, 155, 447-456. https://doi.org/10.1016/j.poly.2018.08.020

The copper(II) complexes [Cu4(L)2(HL)2(H2O)2]∙2(ClO4)∙2(H2O)∙DMF (1) and [Cu4(L)2(HL)2(H2O)2]∙(tp) (2) [H2L = 2-ethoxy-6-[(1-hydroxymethyl-propylimino)-methyl]-phenol; tp = terephthalate] have been synthesized and characterized by single crystal X-ra... Read More about Synthesis, crystal structure and DNA/protein binding of tetranuclear Cu(II) complexes with a double-open-cubane like core framework.

A Monte Carlo approach to the 4D scattering equations (2018)
Journal Article
Farrow, J. A. (2018). A Monte Carlo approach to the 4D scattering equations. Journal of High Energy Physics, 2018(8), Article 85. https://doi.org/10.1007/jhep08%282018%29085

The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current difficulti... Read More about A Monte Carlo approach to the 4D scattering equations.

The infrared fixed points of 3d N = 4 USp(2N) SQCD theories (2018)
Journal Article
Assel, B., & Cremonesi, S. (2018). The infrared fixed points of 3d N = 4 USp(2N) SQCD theories. SciPost Physics, 5(2), Article 015. https://doi.org/10.21468/scipostphys.5.2.015

We derive the algebraic description of the Coulomb branch of 3d N = 4 U S p ( 2 N ) SQCD theories with N f fundamental hypermultiplets and determine their low energy physics in any vacuum from the local geometry of the moduli space, identifying the i... Read More about The infrared fixed points of 3d N = 4 USp(2N) SQCD theories.

Paralogues of the PXY and ER receptor kinases enforce radial patterning in plant vascular tissue (2018)
Journal Article
Wang, N., Bagdassarian, K. S., Doherty, R. E., Wang, X. Y., Kroon, J. T., Wang, W., Jermyn, I. H., Turner, S. R., & Etchells, J. P. Paralogues of the PXY and ER receptor kinases enforce radial patterning in plant vascular tissue. https://doi.org/10.1101/357244. Manuscript submitted for publication

Plant cell walls do not allow cells to migrate, thus plant growth and development is entirely the consequence of changes to cell division and cell elongation. Where tissues are arranged in concentric rings, expansion of inner tissue, such as that whi... Read More about Paralogues of the PXY and ER receptor kinases enforce radial patterning in plant vascular tissue.

Thermal effects on nonlinear acceleration waves in the Biot theory of porous media (2018)
Journal Article
Straughan, B., & Tibullo, V. (2018). Thermal effects on nonlinear acceleration waves in the Biot theory of porous media. Mechanics Research Communications, 94, 70-73. https://doi.org/10.1016/j.mechrescom.2018.08.001

We generalize a theory of Biot for a porous solid based on nonlinear elasticity theory to incorporate temperature effects. Acceleration waves are studied in detail in the fully nonlinear theory. The wavespeeds are found explicitly and the amplitudes... Read More about Thermal effects on nonlinear acceleration waves in the Biot theory of porous media.

Commutators of trace zero matrices over principal ideal rings (2018)
Journal Article
Stasinski, A. (2018). Commutators of trace zero matrices over principal ideal rings. Israel Journal of Mathematics, 228(1), 211-227. https://doi.org/10.1007/s11856-018-1762-5

We prove that for every trace zero square matrix A of size at least 3 over a principal ideal ring R, there exist trace zero matrices X, Y over R such that XY−YX = A. Moreover, we show that X can be taken to be regular mod every maximal ideal of R. Th... Read More about Commutators of trace zero matrices over principal ideal rings.

Global Non-Potential Magnetic Models of the Solar Corona During the March 2015 Eclipse (2018)
Journal Article
Yeates, A., Amari, T., Contopoulos, I., Feng, X., Mackay, D., Mikic, Z., Wiegelmann, T., Hutton, J., Lowder, C., Morgan, H., Petrie, G., Rachmeler, L., Upton, L., Canou, A., Chopin, P., Downs, C., Druckmuller, M., Linker, J., Seaton, D., & Torok, T. (2018). Global Non-Potential Magnetic Models of the Solar Corona During the March 2015 Eclipse. Space Science Reviews, 214, Article 99. https://doi.org/10.1007/s11214-018-0534-1

Seven different models are applied to the same problem of simulating the Sun’s coronal magnetic field during the solar eclipse on 2015 March 20. All of the models are non-potential, allowing for free magnetic energy, but the associated electric curre... Read More about Global Non-Potential Magnetic Models of the Solar Corona During the March 2015 Eclipse.

Hopfions in chiral magnets (2018)
Journal Article
Sutcliffe, P. (2018). Hopfions in chiral magnets. Journal of Physics A: Mathematical and Theoretical, 51(37), Article 375401. https://doi.org/10.1088/1751-8121/aad521

A magnetic Hopfion is a three-dimensional topological soliton that consists of a closed loop of a twisted magnetic Skyrmion string. The results of numerical simulations are presented that demonstrate the existence of a stable Hopfion in a nanocylinde... Read More about Hopfions in chiral magnets.

Twisted Hilbert spaces of 3d supersymmetric gauge theories (2018)
Journal Article
Bullimore, M., & Ferrari, A. (2018). Twisted Hilbert spaces of 3d supersymmetric gauge theories. Journal of High Energy Physics, 2018(08), Article 018. https://doi.org/10.1007/jhep08%282018%29018

We study aspects of 3d N=2 supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line. We propose a constru... Read More about Twisted Hilbert spaces of 3d supersymmetric gauge theories.

Improved linear programming methods for checking avoiding sure loss (2018)
Journal Article
Nakharutai, N., Troffaes, M. C., & Caiado, C. C. (2018). Improved linear programming methods for checking avoiding sure loss. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 101, 293-310. https://doi.org/10.1016/j.ijar.2018.07.013

We review the simplex method and two interior-point methods (the affine scaling and the primal-dual) for solving linear programming problems for checking avoiding sure loss, and propose novel improvements. We exploit the structure of these problems t... Read More about Improved linear programming methods for checking avoiding sure loss.

A robust weighted SVR-based software reliability growth model (2018)
Journal Article
Utkin, L., & Coolen, F. (2018). A robust weighted SVR-based software reliability growth model. Reliability Engineering & System Safety, 176, 93-101. https://doi.org/10.1016/j.ress.2018.04.007

This paper proposes a new software reliability growth model (SRGM), which can be regarded as an extension of the non-parametric SRGMs using support vector regression to predict probability measures of time to software failure. The first novelty under... Read More about A robust weighted SVR-based software reliability growth model.

Elastic and diffractive scattering at the LHC (2018)
Journal Article
Khoze, V., Martin, A., & Ryskin, M. (2018). Elastic and diffractive scattering at the LHC. Physics Letters B, 784, 192-198. https://doi.org/10.1016/j.physletb.2018.07.054

Inspired by the new TOTEM data on elastic pp scattering at 13 TeV, we study the possibility to describe all the diffractive collider data (, , ) in a wide interval of energy (0.0625 to 13 TeV) in the framework of a two-channel eikonal model. We show... Read More about Elastic and diffractive scattering at the LHC.