Outputs (222)

Going round in circles: Geometry in the early years (2023)
Journal Article
Oughton, R. H., Wheadon, D. M., Bolden, D. S., Nichols, K., Fearn, S., Darwin, S., Dixon-Jones, S., Mistry, M., Peyerimhoff, N., & Townsend, A. (2023). Going round in circles: Geometry in the early years. Mathematics teaching, 286, 29-34

The research described here came from a collaboration between university-based mathematicians and early years (EY) educators. The project emerged naturally, driven by the felt need of the EY educators to develop a broader understanding and appreciati... Read More about Going round in circles: Geometry in the early years.

Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory (2023)
Journal Article
Dorigoni, D., Green, M. B., Wen, C., & Xie, H. (2023). Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory. Journal of High Energy Physics, 2023(4), Article 114. https://doi.org/10.1007/jhep04%282023%29114

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in N
= 4 supersymmetric Yang-Mills theory with a general classical gauge group GN. Here we determine g... Read More about Modular-invariant large-N completion of an integrated correlator in N= 4 supersymmetric Yang-Mills theory.

Activation of telomerase by TA-65 enhances immunity and reduces inflammation post myocardial infarction (2023)
Journal Article
Bawamia, B., Spray, L., Wangsaputra, V. K., Bennaceur, K., Vahabi, S., Stellos, K., Kharatikoopaei, E., Ogundimu, E., Gale, C. P., Keavney, B., Maier, R., Hancock, H., Richardson, G., Austin, D., & Spyridopoulos, I. (2023). Activation of telomerase by TA-65 enhances immunity and reduces inflammation post myocardial infarction. GeroScience, 45(4), 2689-2705. https://doi.org/10.1007/s11357-023-00794-6

Myocardial infarction (MI) accelerates immune ageing characterised by lymphopenia, expansion of terminally differentiated CD8+ T-lymphocytes (CD8+ TEMRA) and inflammation. Pre-clinical data showed that TA-65, an oral telomerase activator, reduced imm... Read More about Activation of telomerase by TA-65 enhances immunity and reduces inflammation post myocardial infarction.

Accelerating inference for stochastic kinetic models (2023)
Journal Article
Lowe, T., Golightly, A., & Sherlock, C. (2023). Accelerating inference for stochastic kinetic models. Computational Statistics & Data Analysis, 185, Article 107760. https://doi.org/10.1016/j.csda.2023.107760

Stochastic kinetic models (SKMs) are increasingly used to account for the inherent stochasticity exhibited by interacting populations of species in areas such as epidemiology, population ecology and systems biology. Species numbers are modelled using... Read More about Accelerating inference for stochastic kinetic models.

Parameterized Counting and Cayley Graph Expanders (2023)
Journal Article
Peyerimhoff, N., Roth, M., Schmitt, J., Stix, J., Vdovina, A., & Wellnitz, P. (2023). Parameterized Counting and Cayley Graph Expanders. SIAM Journal on Discrete Mathematics, 37(2), 405-486. https://doi.org/10.1137/22m1479804

Given a graph property \Phi , we consider the problem \# EdgeSub(\Phi ), where the input is a pair of a graph G and a positive integer k, and the task is to compute the number of k-edge subgraphs in G that satisfy \Phi . Specifically, we study the pa... Read More about Parameterized Counting and Cayley Graph Expanders.

Random Unitary Representations of Surface Groups II: The large n limit (2023)
Journal Article
Magee, M. (in press). Random Unitary Representations of Surface Groups II: The large n limit. Geometry & Topology,

Let Σg be a closed surface of genus g ≥ 2 and Γg denote the fundamental group of Σg. We establish a generalization of Voiculescu’s theorem on the asymptotic ∗-freeness of Haar unitary matrices from free groups to Γg. We prove that for a random repres... Read More about Random Unitary Representations of Surface Groups II: The large n limit.

Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs (2023)
Journal Article
Helmuth, T., Jenssen, M., & Perkins, W. (2023). Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 59(2), 817-848. https://doi.org/10.1214/22-aihp1263

For ∆ ≥ 5 and q large as a function of ∆, we give a detailed picture of the phase transition of the random cluster model on random ∆-regular graphs. In particular, we determine the limiting distribution of the weights of the ordered and disordered ph... Read More about Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs.

Computing Lagrangian means (2023)
Journal Article
Kafiabad, H. A., & Vanneste, J. (2023). Computing Lagrangian means. Journal of Fluid Mechanics, 960, Article A36. https://doi.org/10.1017/jfm.2023.228

Lagrangian averaging plays an important role in the analysis of wave–mean-flow interactions and other multiscale fluid phenomena. The numerical computation of Lagrangian means, e.g. from simulation data, is, however, challenging. Typical implementati... Read More about Computing Lagrangian means.

Exhange graphs for mutation-finite non-integer quivers (2023)
Journal Article
Felikson, A., & Lampe, P. (2023). Exhange graphs for mutation-finite non-integer quivers. Journal of Geometry and Physics, 188, Article 104811. https://doi.org/10.1016/j.geomphys.2023.104811

Skew-symmetric non-integer matrices with real entries can be viewed as quivers with noninteger arrow weights. Such quivers can be mutated following the usual rules of quiver mutation. Felikson and Tumarkin show that mutation-finite non-integer quiver... Read More about Exhange graphs for mutation-finite non-integer quivers.

On the domino shuffle and matrix refactorizations (2023)
Journal Article
Chhita, S., & Duits, M. (2023). On the domino shuffle and matrix refactorizations. Communications in Mathematical Physics, 401(2), 1417-1467. https://doi.org/10.1007/s00220-023-04676-y

This paper is motivated by computing correlations for domino tilings of the Aztec diamond. It is inspired by two of the three distinct methods that have recently been used in the simplest case of a doubly periodic weighting, that is, the two-periodic... Read More about On the domino shuffle and matrix refactorizations.