We construct holographic superconductors at zero density. The model enjoys a luxury property that the background geometry dual to ground state is analytically available. It has hyperscaling-violating in IR and asymptotically AdS UV. Classification by geometries gives new insights on supergravity solutions. numerically finite temperature solution of hairy black holes verify phase transition tuni...

We compute the BRST cohomology of the holomorphic part of the N=2 string at arbitrary ghost and picture number. We confirm the expectation that the relative cohomology at non-zero momentum consists of a single massless state in each picture. The absolute cohomology is obtained by an independent method based on homological algebra. For vanishing momentum, the relative and absolute cohomologies b...

One-dimensional (1D) electron-hole (e-h) systems in a high-density regime is investigated by means of bozonization techniques. It turned out that the systems are insulating even at the high density limit and that the exciton Mott transition (insulator-to-metal transition) never occurs at absolute zero temperature. The insulating ground state exhibits a strong instability towards the crystalliza...

One of the remaining challenges when reconstructing a surface from a finite sample is recovering non-smooth surface features like sharp edges. There is practical evidence showing that a two step approach could be an aid to this problem, namely, first computing a polyhedral reconstruction isotopic to the sampled surface, and secondly minimizing the absolute Gaussian curvature of this reconstruct...

The equilibrium configurations of a one-dimensional variational model that combines terms expressing the bulk energy of a deformable crystal and its surface energy are studied. After elimination of the displacement, the problem reduces to the minimization of a nonconvex and nonlocal functional of a single function, the thickness. Depending on a parameter which strengthens one of the terms compr...

In the paper we developed a new method to determine the absolute amount of adsorption. This method relies on the excess adsorption isotherm and the density profile in the pore of one material. To compute the density profile and decrease complex calculation of obtaining the absolute amount of adsorption we introduced Simplified Local-Density (SLD) model. A few of appropriate parameters were ...

Assume that the surplus of an insurer follows a compound Poisson surplus process. When the surplus is below zero or the insurer is on deficit, the insurer could borrow money at a debit interest rate to pay claims. Meanwhile, the insurer will repay debts from her premium income. The negative surplus may return to a positive level if debts are reasonable. However, when the negative surplus is bel...

I review statistical parallax absolute magnitude determinations which employ data from the Hipparcos satellite for RR Lyrae and Cepheid variables, and for several other stellar classes. Five groups have studied the RR Lyrae stars, and the results are reassuringly consistent: MV (RR) = 0.77 ± 0.13 mag at [Fe/H] = –1.6 dex. Extensive Monte Carlo simulations showed that systematic errors are small...