1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
New fewnomial upper bounds from Gale dual polynomial systems
Frederic Bihan, Frank Sottile
We show that there are fewer than (e^2+3) 2^(k choose 2) n^k/4 non-degenerate positive solutions to a fewnomial system consisting of n polynomials in n variables having a total of…
Experimentation and conjectures in the real Schubert calculus for flag manifolds (extended abstract)
James Ruffo, Yuval Sivan, Evgenia Soprunova +1
The Shapiro conjecture in the real Schubert calculus fails to hold for flag manifolds, but in a very interesting way. In this extended abstract, we give a refinement of that conjec…