40 citations · 66 across the 4 of their papers we have counts for
5 papers
Knotting and weak knotting in confined, open random walks using virtual knots
Keith Alexander, Alexander J Taylor, Mark R Dennis
We probe the character of knotting in open, confined polymers, assigning knot types to open curves by identifying their projections as virtual knots. In this sense, virtual knots a…
Universal statistics of vortex tangle in three-dimensional wave chaos
Alexander J. Taylor
The tangled nodal lines (wave vortices) in random, three-dimensional wavefields are studied as an exemplar of a fractal loop soup. Their statistics are a three-dimensional counterp…
The Spectral Position of Neumann domains on the torus
Ram Band, Sebastian K. Egger, Alexander Taylor
Neumann domains of Laplacian eigenfunctions form a natural counterpart of nodal domains. The restriction of an eigenfunction to one of its nodal domains is the first Dirichlet eige…
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 and scaling of tangled vortex lines in three-dimensional random wave fields
Alexander J. Taylor, Mark R. Dennis
The short- and long-scale behaviour of tangled wave vortices (nodal lines) in random three-dimensional wave fields is studied via computer experiment. The zero lines are tracked in…