Skip to main content

Research Repository

Advanced Search

All Outputs (4295)

On Equal Consecutive Values of Multiplicative Functions (2024)
Journal Article
Mangerel, A. P. (in press). On Equal Consecutive Values of Multiplicative Functions. Discrete Analysis,

Let f : N → C be a multiplicative function for which ∑ p: | f (p)|̸ =1 1 p = ∞. We show under this condition alone that for any integer h ̸ = 0 the set {n ∈ N : f (n) = f (n + h) ̸ = 0} has logarithmic density 0. We also prove a converse result, alon... Read More about On Equal Consecutive Values of Multiplicative Functions.

Iterated-logarithm laws for convex hulls of random walks with drift (2024)
Journal Article
Cygan, W., Sandrić, N., Šebek, S., & Wade, A. R. (2024). Iterated-logarithm laws for convex hulls of random walks with drift. Transactions of the American Mathematical Society, 377(9), 6695-6724

We establish laws of the iterated logarithm for intrinsic volumes of the convex hull of many-step, multidimensional random walks whose increments have two moments and a non-zero drift. Analogous results in the case of zero drift, where the scaling is... Read More about Iterated-logarithm laws for convex hulls of random walks with drift.

Further investigation into the impact of manuring on stable carbon (δ13C) and nitrogen isotope (δ15N) values in pulses: a four-year experiment examining Celtic bean (Vicia faba) (2024)
Journal Article
Treasure, E. R., Gröcke, D. R., Lester, J. J., Bishop, R. R., Jackson, S. E., & Church, M. J. (in press). Further investigation into the impact of manuring on stable carbon (δ13C) and nitrogen isotope (δ15N) values in pulses: a four-year experiment examining Celtic bean (Vicia faba). Archaeological and Anthropological Sciences,

Plant stable carbon (δ13C) and nitrogen (δ15N) isotope values can be used to directly investigate crop husbandry practices such as manuring; a key variable in understanding the scale and intensity of past farming practices. We present new results fro... Read More about Further investigation into the impact of manuring on stable carbon (δ13C) and nitrogen isotope (δ15N) values in pulses: a four-year experiment examining Celtic bean (Vicia faba).

The Emergence of Order in Many Element Systems (2024)
Journal Article
Einav, A. (2024). The Emergence of Order in Many Element Systems. Journal of Statistical Physics, 191(7), Article 86. https://doi.org/10.1007/s10955-024-03307-7

Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a giv... Read More about The Emergence of Order in Many Element Systems.

Superdiffusive planar random walks with polynomial space–time drifts (2024)
Journal Article
da Costa, C., Menshikov, M., Shcherbakov, V., & Wade, A. (2024). Superdiffusive planar random walks with polynomial space–time drifts. Stochastic Processes and their Applications, 176, Article 104420. https://doi.org/10.1016/j.spa.2024.104420

We quantify superdiffusive transience for a two-dimensional random walk in which the vertical coordinate is a martingale and the horizontal coordinate has a positive drift that is a polynomial function of the individual coordinates... Read More about Superdiffusive planar random walks with polynomial space–time drifts.

Structured prior distributions for the covariance matrix in latent factor models (2024)
Journal Article
Heaps, S. E., & Jermyn, I. H. (2024). Structured prior distributions for the covariance matrix in latent factor models. Statistics and Computing, 34(4), Article 143. https://doi.org/10.1007/s11222-024-10454-0

Factor models are widely used for dimension reduction in the analysis of multivariate data. This is achieved through decomposition of a p×p covariance matrix into the sum of two components. Through a latent factor representation, they can be interpre... Read More about Structured prior distributions for the covariance matrix in latent factor models.

Training neural networks with universal adiabatic quantum computing (2024)
Journal Article
Abel, S., Criado, J. C., & Spannowsky, M. (in press). Training neural networks with universal adiabatic quantum computing. Frontiers in Artificial Intelligence, 7, Article 1368569. https://doi.org/10.3389/frai.2024.1368569

The training of neural networks (NNs) is a computationally intensive task requiring significant time and resources. This article presents a novel approach to NN training using adiabatic quantum computing (AQC), a paradigm that leverages the principle... Read More about Training neural networks with universal adiabatic quantum computing.

Using a prognostic medical device for early identification of pressure ulcers: protocol for study design. (2024)
Journal Article
Keltie, K., Parker, R., Dervin, H., Pagnamenta, F., Milne, J., Belilios, E., Latimer, L., Wason, J., Ogundimu, E., McParlin, C., & Sims, A. (2024). Using a prognostic medical device for early identification of pressure ulcers: protocol for study design. British Journal of Nursing, 33(12), S8-S18. https://doi.org/10.12968/bjon.2024.0158

Background: An objective, physiological measurement taken using a medical device may reduce the incidence of pressure ulcers through earlier detection of problems signs before visual signs appear. Research in this field is hampered by variations in... Read More about Using a prognostic medical device for early identification of pressure ulcers: protocol for study design..

Excitable and magnetic knots (2024)
Book Chapter
Sutcliffe, P. (2024). Excitable and magnetic knots. In R. Ricca, & X. Liu (Eds.), Knotted Fields (141-168). Springer Nature. https://doi.org/10.1007/978-3-031-57985-1

Three-dimensional excitable media host vortex filaments that can be created with a range of knotted and linked topologies. The evolution of these excitable knots and links is both complex and fascinating, as shown by examples of knot untangling and t... Read More about Excitable and magnetic knots.

Directed Spatial Permutations on Asymmetric Tori (2024)
Journal Article
Helmuth, T., & Hammond, A. (in press). Directed Spatial Permutations on Asymmetric Tori. Annals of Probability,

We investigate a model of random spatial permutations on two-dimensional tori, and establish that the joint distribution of large cycles is asymptotically given by the Poisson--Dirichlet distribution with parameter one. The asymmetry of the tori we c... Read More about Directed Spatial Permutations on Asymmetric Tori.

The Batchelor–Howells–Townsend spectrum: large velocity case (2024)
Journal Article
Jolly, M. S., & Wirosoetisno, D. (2024). The Batchelor–Howells–Townsend spectrum: large velocity case. Nonlinearity, 37(7), Article 075025. https://doi.org/10.1088/1361-6544/ad5265

We consider the behaviour of a passive tracer θ governed by ∂tθ+u⋅∇θ=Δθ+g in two space dimensions with prescribed smooth random incompressible velocity u(x, t) and source g(x). In 1959, Batchelor et al (J. Fluid Mech. 5 113) predicted that the tracer... Read More about The Batchelor–Howells–Townsend spectrum: large velocity case.

High-dimensional detection of Landscape Dynamics: a Landsat time series-based algorithm for forest disturbance mapping and beyond (2024)
Journal Article
Morresi, D., Maeng, H., Marzano, R., Lingua, E., Motta, R., & Garbarino, M. (2024). High-dimensional detection of Landscape Dynamics: a Landsat time series-based algorithm for forest disturbance mapping and beyond. GIScience and Remote Sensing, 61(1), Article 2365001. https://doi.org/10.1080/15481603.2024.2365001

Time series analysis of medium-resolution multispectral satellite imagery is critical to investigate forest disturbance dynamics at the landscape scale. In particular, the spatial, temporal, and radiometric consistency of Landsat time series data pro... Read More about High-dimensional detection of Landscape Dynamics: a Landsat time series-based algorithm for forest disturbance mapping and beyond.

A distribution-free method for change point detection in non-sparse high dimensional data (2024)
Journal Article
Drikvandi, R., & Modarres, R. (2024). A distribution-free method for change point detection in non-sparse high dimensional data. Journal of Computational and Graphical Statistics, https://doi.org/10.1080/10618600.2024.2365733

We propose a distribution-free distance-based method for high dimensional change points that can address challenging situations when the sample size is very small compared to the dimension as in the so-called HDLSS data or when non-sparse changes may... Read More about A distribution-free method for change point detection in non-sparse high dimensional data.

Basic metric geometry of the bottleneck distance (2024)
Journal Article
Che, M., Galaz-García, F., Guijarro, L., Membrillo Solis, I., & Valiunas, M. (2024). Basic metric geometry of the bottleneck distance. Proceedings of the American Mathematical Society, https://doi.org/10.1090/proc/16776

Given a metric pair (X, A), i.e. a metric space X and a distinguished closed set A ⊂ X, one may construct in a functorial way a pointed pseudometric space D∞(X, A) of persistence diagrams equipped with the bottleneck distance. We investigate the basi... Read More about Basic metric geometry of the bottleneck distance.

Six-dimensional correlators from a five-dimensional operator product expansion (2024)
Journal Article
Lambert, N., Lipstein, A., & Mouland, R. (2024). Six-dimensional correlators from a five-dimensional operator product expansion. Journal of High Energy Physics, 2024(6), Article 055. https://doi.org/10.1007/jhep06%282024%29055

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conforma... Read More about Six-dimensional correlators from a five-dimensional operator product expansion.