The basic current-carrying mechanism through a superconducting weak link embedded in a resistive environment undergoes a continuous crossover, as the voltage increases, from Josephson Cooper pair transfer exciting electromagnetic modes in the environment to multiple Andreev reflections leading to the creation of quasiparticles. We corroborate these ideas through measurements of the dc current-v...

In this paper we address the problem of determining and efficiently computing an approximation to the eigenvalues of the negative Laplacian −" on general domain Ω ⊂ R2 subject to homogeneous Dirichlet or Neumann boundary conditions. The basic idea is to look for eigenfunctions as the superposition of generalized eigenfunctions of the corresponding free space operator in the spirit of the classi...

Nilpotency for discrete groups can be defined in terms of central extensions. In this paper, the analogous definition for spaces is stated in terms of principal fibrations having infinite loop spaces as fibers, yielding a new invariant we compare with classical cocategory, but also with the more recent notion of homotopy nilpotency introduced by Biedermann and Dwyer. This allows us to character...

The Lipschitz and C harmonic capacities κ and κc in R n can be considered as high-dimensional versions of the so-called analytic and continuous analytic capacities γ and α (respectively). In this paper we provide a dual characterization of κc in the spirit of the classical one for the capacity α by means of the Garabedian function. Using this new characterization, we show that κ(E) = κ(∂oE) for...

Liberation is the act of setting free from internal and social oppression (Afuape, 2011), in 2019 it was Trail fire that raged through our place, turning living essence livelihood, belongings to dust. The dust had barely settled when torrential rains drenched remains, weeping over ashes. These ashes were not just things, houses, furniture, but also trees, ferns, animals all sizes. Next, isolati...