This paper gives an introduction to the Random Field Ising Model (RFIM). Since its rst discussion in the paper by Imry and Ma 1] there has been great interest in this model, since Ising or Ising-like systems in random elds are a good representation of a large number of impure materials. These show features that can not be understood by studying ideal systems (i.e. Ising model). There are a lot ...

Subsampling techniques developed by Hartigan (for independent observations) and by Carlstein (for mixing processes on the integers) are extended to estimate variances and covariances of statistics of spatial processes. If the process is stationary, and dependence weakens rapidly with increasing distance, then the procedure is consistent in the sense that, as the region available for observation...

Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the ...

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.

Pathology image analysis is an essential procedure for clinical diagnosis of many diseases. To boost the accuracy and objectivity detection, nowadays, increasing number computer-aided (CAD) system proposed. Among these methods, random field models play indispensable role in improving performance. In this review, we present a comprehensive overview pathology based on markov fields (MRFs) conditi...