This paper introduces a new model and methodological approach for dealing with the probabilistic nature of mobile networks based on the theory of random graphs. Probabilistic dependence between the random links prevents the direct application of the theory of random graphs to communication networks. The new model, termed Random Network Model, generalizes conventional random graph models to allo...

texture image analysis is one of the most important working realms of imageprocessing in medical sciences and industry. up to present, different approacheshave been proposed for segmentation of texture images. in this paper, we offeredunsupervised texture image segmentation based on markov random field (mrf)model. first, we used gabor filter with different parameters’ (frequency,orientation) va...

We develop the theory of invariant random fields in vector bundles. The spectral decomposition of an invariant random field in a homogeneous vector bundle generated by an induced representation of a compact connected Lie group G is obtained. We discuss an application to the theory of cosmic microwave background, where G = SO(3). A theorem about equivalence of two different groups of assumptions...

We show that the cornerstone of QM – Born's rule – can be obtained from detection theory (SDT) for subquantum (classical) random field. The basic assumption of SDT is that the probability of detection of a field (=signal) is proportional to the power of this field (its L 2-norm). Our approach has some similarities with the semi-classical approach to the electromagnetic field. However, formalism...

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.

The exact results for thermodynamical properties of one-dimensional spin-1 2 isotropic XY model with Dzyaloshinskii-Mo-riya interaction in random lorentzian transverse field are obtained. This permits to discuss some approximate methods of disordered spin systems theory. The approximate scheme of examining the thermodynamics of one-dimensional spin-1 2 XXZ Heisenberg model with Dzyaloshinskii-M...