17 citations · 27 across the 7 of their papers we have counts for
8 papers
Defining the spectral position of a Neumann domain
Ram Band, Graham Cox, Sebastian Egger
A Laplacian eigenfunction on a two-dimensional Riemannian manifold provides a natural partition into Neumann domains (a.k.a. a Morse--Smale complex). This partition is generated by…
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.…
Neumann Domains on Graphs and Manifolds
Lior Alon, Ram Band, Michael Bersudsky +1
The nodal set of a Laplacian eigenfunction forms a partition of the underlying manifold or graph. Another natural partition is based on the gradient vector field of the eigenfuncti…
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…
Courant-sharp eigenvalues of Neumann 2-rep-tiles
Ram Band, Michael Bersudsky, David Fajman
We find the Courant-sharp Neumann eigenvalues of the Laplacian on some 2-rep-tile domains. In the domains we consider are the isosceles right triangle and the rectangle wi…
Topological Properties of Neumann Domains
Ram Band, David Fajman
A Laplacian eigenfunction on a two-dimensional manifold dictates some natural partitions of the manifold; the most apparent one being the well studied nodal domain partition. An al…
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…