It is known for standard communication models with long-range dependence that under two different scalings in time and space either fractional Brownian motion or stable Lévy processes arises in the asymptotic limit. In a third, intermediate, scaling regime a limit process appears, which is neither Gaussian nor stable, and not self-similar. In this paper such a limit theorem is established for t...

Stieltjes moment problem is considered to recover a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained through maximum entropy technique, under the constraint of few fractional moments. The latter are numerically obtained from the infinite sequence of ordinary moments and are chosen in such a way as to convey the max...

Realistic multiport interferometers (beamsplitter meshes) are sensitive to component imperfections, and this sensitivity increases with size. Self-configuration techniques can be employed correct these but not all equal. This paper highlights the importance of algorithmic stability in self-configuration. Na\"{\i}ve approaches based on sequentially setting matrix elements unstable perform poorly...

We develop an analytical framework for self-stabilizing optical manipulation of freestanding metasurfaces in three dimensions. Our reveals that the challenging problem stabilization against translational and rotational perturbations dimensions is reduced to a simpler scattering analysis metasurface unit cell two derive universal stiffness coefficients applicable arbitrary three-dimensional radi...