Recent work @Phys. Fluids 10, 2701 ~1998!# has shown that for Hele-Shaw flows sufficiently near a finite-time pinching singularity, there is a breakdown of the leading-order solutions perturbative in a small parameter e controlling the large-scale dynamics. To elucidate the nature of this breakdown we study the structure of these solutions at higher order. We find a finite radius of convergence...

We show that the existence of a minimum measurable length and the related generalized uncertainty principle (GUP), predicted by theories of quantum gravity, influence all quantum Hamiltonians. Thus, they predict quantum gravity corrections to various quantum phenomena. We compute such corrections to the Lamb shift, the Landau levels, and the tunneling current in a scanning tunneling microscope....

Abstract The large-N master field of the Lorentzian IIB matrix model can, in principle, give rise to a particular degenerate metric relevant regularized big bang. length parameter this is then calculated terms IIB-matrix-model scale.

Two main computational problems serve as security foundations of current fully homomorphic encryption schemes: Regev’s Learning With Errors problem (LWE) and HowgraveGraham’s Approximate Greatest Common Divisor problem (AGCD). Our first contribution is a reduction from LWE to AGCD. As a second contribution, we describe a new AGCD-based fully homomorphic encryption scheme, which outperforms all ...

Looping patterns, where channels divide and reconnect further downstream, are widespread in natural rivers. Here, we build an extensive dataset of different gravel-bed sand-bed rivers around the world encompassing a wide range physiographic sedimentological conditions. Field data show existence quasi-universal relations for anabranches length when scaled with bankfull hydraulic geometry variabl...