We present an algorithm for characterising the generalised Dirichlet to Neumann map for moving initial-boundary value problems. This algorithm is derived by combining the so-called global relation, which couples the initial and boundary values of the problem, with a new method for inverting certain one-dimensional integrals. This new method is based on the spectral analysis of an associated ODE...

Caustics are a generic feature of the nonlinear growth of structure in the dark matter distribution. If the dark matter were absolutely cold, its mass density would diverge at caustics, and the integrated annihilation probability would also diverge for individual particles participating in them. For realistic dark matter candidates, this behaviour is regularised by small but non-zero initial th...

According to numerous studies, there are basic and initial scaling relationship for the geometric and kinematic characteristics of faults. The study area is located in the northern part of the Kerman coal province. The statistical calculations are consisting of:  measure the surface density of faults per unite area and division of the area, determining the direction of the dominant faulting and...

lndustrial disputes in general are settled through the mechanism of collective bargaining at the initial stage. The failure of collective bargaining leads the disputes to the system of conciliation under the statutory compulsion. The lndustrial Disputes Act 1947 under Section 2(K) defines the industrial dispute as "any dispute or difference between employers and employers or between employers a...

In recent years, encryption technology has been developed rapidly the chaos based cryptographic algorithms. Chaos owns certain critical properties such as sensitive dependence on initial condition, random-like behavior, and continuous broadband power spectrum, which match the confusion, diffusion, and key sensitivity requirements for cryptography. Chaos based cryptographic offer sundry features...

N-body simulations sample their initial conditions on an initial particle distribution, which for cosmological simulations is usually a glass or grid, whilst a Poisson distribution is used for galaxy models, spherical collapse etc. These pre-initial conditions have inherent correlations, noise due to discreteness and preferential alignments, whilst the glass distribution is poorly defined and c...

Field theory in de Sitter space admits a one-parameter family of vacua determined by a superselection parameter α. Of these vacua, the Euclidean vacuum uniquely extrapolates to the vacuum of flat Minkowski space. States which resemble the α-vacua can be constructed as excitations above the Euclidean vacuum. Such states have modes α(k) which decay faster that k. Fields in such states exhibit non...

Some linkages between kernel and penalty methods of density estimation are explored. It is recalled that classical Gaussian kernel density estimation can be viewed as the solution of the heat equation with initial condition given by data. We then observe that there is a direct relationship between the kernel method and a particular penalty method of density estimation. For this penalty method, ...

We study the physical limitations placed on CMB temperature and polarization measurements of the initial power spectrum by geometric projection, acoustic physics, gravitational lensing and the joint fitting of cosmological parameters. Detailed information on the spectrum is greatly assisted by polarization information and localized to the acoustic regime k = 0.02 − 0.2 Mpc with a fundamental re...

We have investigated time evolutions of power spectra of density fluctuations for long time after the first appearance of caustics in the expanding onedimensional universe. It is found that when an initial power spectrum is sale-free with a power index n, a self-similarity of the time evolution of the power spectrum is achieved. We find that the power spectrum can be separated roughly into thre...