2 papers
math.SP2025
The Critical Point Degree of a Periodic Graph
Matthew Faust, Jonah Robinson, Frank Sottile
The critical point degree of a periodic graph operator is the number of critical points of its complex Bloch variety. Determining it is a step towards the spectral edges conjecture…
math.SP2025
The Spectral Edges Conjecture via Corners
Matthew Faust, Frank Sottile
The Spectral Edges Conjecture is a well-known and widely believed conjecture in the theory of discrete periodic operators. It states that the extrema of the dispersion relation are…