254 citations · 3k across the 56 of their papers we have counts for
6 papers · 1 filter
Weaving knotted vector fields with tunable helicity
Hridesh Kedia, David Foster, Mark R. Dennis +1
We present a general construction of divergence-free knotted vector fields from complex scalar fields, whose closed field lines encode many kinds of knots and links, including toru…
Vortex knots in tangled quantum eigenfunctions
Alexander J Taylor, Mark R Dennis
Tangles of string typically become knotted, from macroscopic twine down to long-chain macromolecules such as DNA. Here we demonstrate that knotting also occurs in quantum wavefunct…
Geometry of Calugareanu's theorem
M. R. Dennis, J. H. Hannay
A central result in the space geometry of closed twisted ribbons is Calugareanu's theorem (also known as White's formula, or the Calugareanu-White-Fuller theorem). This enables the…
Correlations between Maxwell's multipoles for gaussian random functions on the sphere
M. R. Dennis
Maxwell's multipoles are a natural geometric characterisation of real functions on the sphere (with fixed ). The correlations between multipoles for gaussian random functions…
Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere
M. R. Dennis
Any eigenfunction of the laplacian on the sphere is given in terms of a unique set of directions: these are Maxwell's multipoles, their existence and uniqueness being known as Sylv…
Correlations and screening of topological charges in gaussian random fields
M. R. Dennis
2-point topological charge correlation functions of several types of geometric singularity in gaussian random fields are calculated explicitly, using a general scheme: zeros of …