17 citations · 27 across the 7 of their papers we have counts for
4 papers · 1 filter
Neumann Domains on Quantum Graphs
Lior Alon, Ram Band
The Neumann points of an eigenfunction on a quantum (metric) graph are the interior zeros of . The Neumann domains of are the sub-graphs bounded by the Neumann points.…
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…
Lyndon word decompositions and pseudo orbits on q-nary graphs
R. Band, J. M. Harrison, M. Sepanski
A foundational result in the theory of Lyndon words (words that are strictly earlier in lexicographic order than their cyclic permutations) is the Chen-Fox-Lyndon theorem which sta…
Nodal domains of a non-separable problem - the right angled isosceles triangle
Amit Aronovitch, Ram Band, David Fajman +1
We study the nodal set of eigenfunctions of the Laplace operator on the right angled isosceles triangle. A local analysis of the nodal pattern provides an algorithm for computing t…