The role of spatial dimension in the emergence of localised radial patterns from a Turing instability
Hill, D
(27 May 2024)
https://arxiv.org/abs/2405.16927v3
On the interlacing property for zeros of Bessel functions
Hill, D
(29 Sep 2025)
https://arxiv.org/abs/2509.24612v2
Localised Radial Patterns on the Free Surface of a Ferrofluid
Hill, D
Lloyd, D
Turner, M
(27 Mar 2020)
https://arxiv.org/abs/2003.12324v4
Existence of localised radial patterns in a model for dryland vegetation
Hill, D
(27 Jul 2021)
https://arxiv.org/abs/2107.12678v2
Dihedral rings of patterns emerging from a Turing bifurcation
Hill, D
Bramburger, J
Lloyd, D
(24 Oct 2022)
https://arxiv.org/abs/2210.13122v2
Localized Patterns
Bramburger, J
Hill, D
Lloyd, D
(23 Apr 2024)
https://arxiv.org/abs/2404.14987v2
Predicting the emergence of localised dihedral patterns in models for dryland vegetation
Hill, D
(06 Sep 2023)
https://arxiv.org/abs/2309.02956v2
Radial amplitude equations for fully localised planar patterns
Hill, D
Lloyd, D
(05 Mar 2024)
https://arxiv.org/abs/2403.02949v2
On function spaces for radial functions
Groves, M
Hill, D
(14 Mar 2024)
https://arxiv.org/abs/2403.09372v2
Global bifurcation of localised 2D patterns emerging from spatial heterogeneity
Hill, D
Lloyd, D
Turner, M
(03 Oct 2025)
https://arxiv.org/abs/2510.02867v2