within the effective-field theory with correlations (eft), a transverse random field spin-1 ising model on the simple cubic (z=6) lattice is studied. the phase diagrams, the behavior of critical points, transverse magnetization,  internal energy, magnetic specific heat are obtained numerically and discussed for different values of p the concentration of the random transverse field.

Random field theory is used in the statistical analysis of SPM’s whenever there is a spatial component to the inference. Most important is the question of detecting an effect or activation at an unknown spatial location. Very often we do not know in advance where to look for an effect, and we are interested in searching the whole brain, or part of it. This presents special statistical problems ...

in recent years, some statisticians have studied the signal detection problem by using the random field theory. in this paper we have considered point estimation of the gaussian scale space random field parameters in the bayesian approach. since the posterior distribution for the parameters of interest dose not have a closed form, we introduce the markov chain monte carlo (mcmc) algorithm to ap...

In this paper we start a systematic study of quantum field theory on random trees. Using precise probability estimates their Galton–Watson branches and multiscale analysis, establish the general power counting averaged Feynman amplitudes check that they behave indeed as living an effective space dimension 4/3, spectral “just renormalizable” case prove convergence amplitude any completely conver...

<p style='text-indent:20px;'>We propose the novel augmented Gaussian random field (AGRF), which is a universal framework incorporating data of observable and derivatives any order. Rigorous theory established. We prove that under certain conditions, its order are governed by single field, aforementioned AGRF. As corollary, statement "the derivative process remains process" validated, sinc...