It is shown that, with an appropriate scaling, the energy of low-lying excitations of the (1, 1,. .. , 1) interface in the d-dimensional quantum Heisenberg model are given by the spectrum of the d − 1-dimensional Lapla-cian on an suitable domain.

We investigate the initial value problem for some energy supercritical semilinear wave equations. We establish local existence in suitable spaces with continuous flow. We also obtain some ill-posedness/weak ill-posedness results. The proof uses the finite speed of propagation and a quantitative study of the associated ODE. It does not require any scaling invariance of the equation.

We present a 9 GW peak power, three-cycle, 2.2 microm optical parametric chirped-pulse amplification source with 1.5% rms energy and 150 mrad carrier envelope phase fluctuations. These characteristics, in addition to excellent beam, wavefront, and pulse quality, make the source suitable for long-wavelength-driven high-harmonic generation. High stability is achieved by careful optimization of su...

in this paper, we characterize multiresolution analysis(mra) parseval frame multiwavelets in l^2(r^d) with matrix dilations of the form (d f )(x) = sqrt{2}f (ax), where a is an arbitrary expanding dtimes d matrix with integer coefficients, such that |deta| =2. we study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of mra tight frame multiwav...

Steel-concrete-steel (SCS) sandwich panels are composed of two steel plates with low thicknesses and high densities and strengths and one thick layer between both plates with low strength and density known as core that is composed of concrete. Cohesive material-epoxy resin or shear connectors are usually used to connect the plates to the concrete core. SCS sandwich composites are being develope...

Architecture selection is one of the key steps in a multi-standard front-end design flow. By choosing a suitable front-end architecture, problems in the building block design (DC-offsets, flicker noise, high power consumption) can be avoided. In this paper the selection of the most suitable architecture for a multi-standard front-end for DECT and Bluetooth is presented. An important selection c...

Rapid field evaluation of RO feed filtration requirements, selection of effective antiscalant type and dose, and estimation of suitable scale-free RO recovery level were demonstrated using a novel approach based on direct observation of mineral scaling and flux decline measurements, utilizing an automated Membrane Monitor (MeMo). The MeMo, operated in a stand-alone single-pass desalting mode, e...

The purpose of this paper is to compare the characteristics of EEGs, which typically exhibit non-stationarity and long-range correlations, by calculating its scaling exponents in between sleep apnea and the normal conditions. Detrended fluctuation analysis (DFA), which is suitable for non-stationary time series, is used to analyze the fluctuation of the EEG dynamics by calculating its scaling e...