The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index
The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index
Abstract The asymptotic law for the expected nodal volume of random non-Gaussian monochromatic band-limited functions is determined in vast generality. Our methods combine microlocal analytic techniques and modern probability theory. A particularly challenging obstacle that we need to overcome is the possible concentration of nodal volume on a small portion …