2 problems

Let $\widehat \sigma_1^*$ denote the supremum of the first nonzero Steklov eigenvalue multiplied by the boundary length, over planar domains of area $\pi$, and let…

Let $L(t)$ denote the limiting family of linear operators arising in the scaling limit where the quantum wavelength and scattering radius satisfy $h=r\to0$, with observables evolve…