the purpose of this study is to compare the results of different probabilistic methods such as the perturbation method, stochastic finite element method (sfem) and monte carlo method. these methods were used to study the convergence of direct approach for slope stability analysis and are developed for a linear soil behavior. in this study, two dimensional random fields are used and both the fir...

naturally occurred soil deposits inherit heterogeneity and anisotropy in their strength properties. the main purpose of this paper is to model the soil stratum with anisotropy consideration and spatially varying undrained shear strength by using random field theory coupled with finite difference numerical analysis to evaluate their effect on the bearing capacity of the shallow foundations. in t...

This paper studies the asymptotic behavior of a particle with large initial velocity and subject to a force field which is randomly time dependent and inhomogenous in space. We analyze the diffusive limit ǫ → 0 of the position–velocity pair under the appropriate space-time rescaling: ( ǫY (s/ǫ), ǫẎ (s/ǫ) ) . Two alternative approaches are proposed. The first one is based on hydrodynamic limits ...

We discuss D-dimensional scalar field interacting with a scale invariant random metric which is either a Gaussian field or a square of a Gaussian field. The metric depends on d dimensional coordinates (where d < D). By a projection to a lower dimensional subspace we obtain a scale invariant non-Gaussian model of Euclidean quantum field theory in D − d or d dimensions.

Medium-band imaging with HST/WFPC2 in the F410M filter has previously revealed a population of compact Lyman-α emission objects around the radio galaxy 53W002 at z ≃ 2.4. We report detections of similar objects at z ≃ 2.4 in random, high-latitude HST parallel observations of three additional fields, lending support to the idea that they constitute a widespread population at these redshifts. The...

In the standard model for structure formation, bound objects originate from the gravitational collapse of small perturbations arising from quantum fluctuations with random phases. In other scenarios, based on defects, structures are seeded by localized energy density. In principle, it is possible to differentiate between these models on the basis of their statistical properties; only in the for...

Space-time event detection is one of major tasks in wireless sensor network. The event always represents the complex space-time relationship. Despite there are great progress in this area, most of the existing works on event detection are restricted to inference and study in the spatial or the temporal field separately, the accuracy of event detection is not so high. Based on the description a ...

The spectrum of electromagnetic emission generated by relativistic electrons scattered on small-scale random magnetic fields, implied by current models of the magnetic field generation in the gamma-ray burst sources, is considered. The theory developed includes both perturbative and non-perturbative versions and, therefore, suggests a general treatment of the radiation in arbitrary small-scale ...