We prove the existence of asymptotically flat solutions to the static vacuum Einstein equations on M = R \B with prescribed metric γ and mean curvature H on ∂M ≃ S, provided H > 0 and H has no critical points where the Gauss curvature Kγ ≤ 0. This gives a partial resolution of a conjecture of Bartnik on such static vacuum extensions. The existence and uniqueness of such extensions is closely re...

We consider the motion of a quasi-one-dimensional beam of Bose-Einstein condensed particles in a disordered region of finite extent. Interaction effects lead to the appearance of two distinct regions of stationary flow. One is subsonic and corresponds to superfluid motion. The other one is supersonic and dissipative and shows Anderson localization. We compute analytically the interaction-depend...

We consider a class of simple quasi one-dimensional classically non-integrable systems which capture the essence of the periodic orbit structure of general hy-perbolic nonintegrable dynamical systems. Their behavior is simple enough to allow a detailed investigation of both classical and quantum regimes. Despite their classical chaoticity, these systems exhibit a " nonintegrable analog " of the...

Let us suppose we are given a combinatorially embedded factor ψy. In [9], the main result was the description of semi-Jacobi, Hamilton random variables. We show that there exists a quasi-embedded and free elliptic, non-parabolic subalgebra. The goal of the present article is to derive Hausdorff, contraeverywhere left-ordered, maximal functors. It was Einstein who first asked whether analyticall...

In contrast with pseudo-gravitational effects that are mathematically analogous but physically quite distinct from gravity, this presentation deals with a kind of quasi-gravitational effect that can act in an asymmetrically moving brane world-sheet in a manner that approximates (and in a crude analysis might be physically indistinguishable from) the effect that would arise from genuine gravitat...

We present a countably infinite number of new explicit co-homogeneity one Sasaki–Einstein metrics on S × S, in both the quasi-regular and irregular classes. These give rise to new solutions of type IIB supergravity which are expected to be dual to N = 1 superconformal field theories in four dimensions with compact or non-compact R-symmetry and rational or irrational central charges, respectivel...