Outputs (208)

A Non-Symmetric Kesten Criterion and Ratio Limit Theorem for Random Walks on Amenable Groups (2024)
Journal Article
Dougall, R., & Sharp, R. (2024). A Non-Symmetric Kesten Criterion and Ratio Limit Theorem for Random Walks on Amenable Groups. International Mathematics Research Notices, 2024(7), 6209-6223. https://doi.org/10.1093/imrn/rnae014

We consider random walks on countable groups. A celebrated result of Kesten says that the spectral radius of a symmetric walk (whose support generates the group as a semigroup) is equal to one if and only if the group is amenable. We give an analogue... Read More about A Non-Symmetric Kesten Criterion and Ratio Limit Theorem for Random Walks on Amenable Groups.

Mathematical diversity of parts for a continuous distribution (2024)
Journal Article
Rajaram, R., Ritchey, N., & Castellani, B. (2024). Mathematical diversity of parts for a continuous distribution. Journal of Physics Communications, 8(2), Article 025008. https://doi.org/10.1088/2399-6528/ad2560

The current paper is part of a series exploring how to link diversity measures (e.g., Gini-Simpson index, Shannon entropy, Hill numbers) to a distribution’s original shape and to compare parts of a distribution, in terms of diversity, with the whole.... Read More about Mathematical diversity of parts for a continuous distribution.

Thermal convection with a Cattaneo heat flux model (2024)
Journal Article
Gentile, M., & Straughan, B. (2024). Thermal convection with a Cattaneo heat flux model. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2282), Article 20230771. https://doi.org/10.1098/rspa.2023.0771

The problem of thermal convection in a layer of viscous incompressible fluid is analysed. The heat flux law is taken to be one of Cattaneo type. The time derivative of the heat flux is allowed to be a material derivative, or a general objective deriv... Read More about Thermal convection with a Cattaneo heat flux model.

Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories (2024)
Journal Article
Delduc, F., Hoare, B., & Magro, M. (2024). Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories. Journal of Physics A: Mathematical and Theoretical, 57(6), Article 065401. https://doi.org/10.1088/1751-8121/ad1d91

Symmetric space sine-Gordon theories are two-dimensional massive integrable field theories, generalising the sine-Gordon and complex sine-Gordon theories. To study their integrability properties on the real line, it is necessary to introduce a subtra... Read More about Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories.

Refinement of X‐ray and electron diffraction crystal structures using analytical Fourier transforms of Slater‐type atomic wavefunctions in Olex2 (2024)
Journal Article
Kleemiss, F., Peyerimhoff, N., & Bodensteiner, M. (2024). Refinement of X‐ray and electron diffraction crystal structures using analytical Fourier transforms of Slater‐type atomic wavefunctions in Olex2. Journal of Applied Crystallography, 57, 161-174. https://doi.org/10.1107/s1600576723010981

An implementation of Slater‐type spherical scattering factors for X‐ray and electron diffraction for elements in the range Z = 1–103 is presented within the software Olex2. Both high‐ and low‐angle Fourier behaviour of atomic electron density and ele... Read More about Refinement of X‐ray and electron diffraction crystal structures using analytical Fourier transforms of Slater‐type atomic wavefunctions in Olex2.

Estimating the reproduction number, R0, from individual-based models of tree disease spread (2024)
Journal Article
Wadkin, L. E., Holden, J., Ettelaie, R., Holmes, M. J., Smith, J., Golightly, A., …Baggaley, A. W. (2024). Estimating the reproduction number, R0, from individual-based models of tree disease spread. Ecological Modelling, 489, Article 110630. https://doi.org/10.1016/j.ecolmodel.2024.110630

Tree populations worldwide are facing an unprecedented threat from a variety of tree diseases and invasive pests. Their spread, exacerbated by increasing globalisation and climate change, has an enormous environmental, economic and social impact. Com... Read More about Estimating the reproduction number, R0, from individual-based models of tree disease spread.

Viscous dissipation and dynamics in simulations of rotating, stratified plane-layer convection (2024)
Journal Article
Lance, S. R. W., Currie, L. K., & Browning, M. K. (2024). Viscous dissipation and dynamics in simulations of rotating, stratified plane-layer convection. Monthly Notices of the Royal Astronomical Society, 528(4), 6720-6734. https://doi.org/10.1093/mnras/stae240

Convection in stars and planets must be maintained against viscous and Ohmic dissipation. Here, we present the first systematic investigation of viscous dissipation in simulations of rotating, density-stratified plane layers of convection. Our simula... Read More about Viscous dissipation and dynamics in simulations of rotating, stratified plane-layer convection.

Turing Instabilities are Not Enough to Ensure Pattern Formation (2024)
Journal Article
Krause, A. L., Gaffney, E. A., Jewell, T. J., Klika, V., & Walker, B. J. (2024). Turing Instabilities are Not Enough to Ensure Pattern Formation. Bulletin of Mathematical Biology, 86(2), Article 21. https://doi.org/10.1007/s11538-023-01250-4

Symmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, such as in Turing’s reaction–diffusion theory, which connects cellular signalling and transport with the d... Read More about Turing Instabilities are Not Enough to Ensure Pattern Formation.

Nearly critical superfluids in Keldysh-Schwinger formalism (2024)
Journal Article
Donos, A., & Kailidis, P. (2024). Nearly critical superfluids in Keldysh-Schwinger formalism. Journal of High Energy Physics, 2024(1), Article 110. https://doi.org/10.1007/jhep01%282024%29110

We examine the effective theory of critical dynamics near superfluid phase transitions in the framework of the Keldysh-Schwinger formalism. We focus on the sector capturing the dynamics of the complex order parameter and the conserved current corresp... Read More about Nearly critical superfluids in Keldysh-Schwinger formalism.

Algebraic Dynamical Systems in Machine Learning (2024)
Journal Article
Jones, I., Swan, J., & Giansiracusa, J. (2024). Algebraic Dynamical Systems in Machine Learning. Applied Categorical Structures, 32(1), Article 4. https://doi.org/10.1007/s10485-023-09762-9

We introduce an algebraic analogue of dynamical systems, based on term rewriting. We show that a recursive function applied to the output of an iterated rewriting system defines a formal class of models into which all the main architectures for dynam... Read More about Algebraic Dynamical Systems in Machine Learning.