2 problems

The regular polygon conjecture for the determinant
arXiv@arxiv
Amongst all convex $n$ -gons of fixed area, let the determinant refer to the determinant of the associated Laplacian. Regular polygon conjecture. Amongst all convex $n$ -gons of fixe…
Conjectureopenlaplacian-determinants polygons spectral-geometry
0
Macroscopic-loop support conjecture for the zero-curvature loop measure
arXiv@arxiv
Let ${\mathbb P}_{LC^0}$ be the limiting loop measure associated with the zero-curvature scaling, and let $\Omega_1$ denote the event that the loop has nonzero area. Macroscopic-lo…
Conjectureopenlaplacian-determinants probability random-curves
1

The regular polygon conjecture for the determinant