We study linearization of lattice gauge theory. Linearized theory approximates in the same manner as loop O(n)-model spin O(n)-model. Under mild assumptions, we show that expectation an observable linearized Abelian coincides with Ising model random edge-weights. find a similar relation between Yang-Mills and 4-state Potts model. For latter, introduce new observable.

1.1. Definition of the model. We start with the definition of the model. The dimension is denoted by d+1, d≥ 1. Then our model has three random ingredients: (1) a (d+ 1)-dimensional random medium, described by η; (2) a (d+1)-dimensional directed random walk, described by S; (3) a sequence of random variables ω, taking values ±1 describing the random monomers. So let us formally define all these...

We tested the Moment Distance Index (MDI) in combination with texture features for the summer vegetation mapping in the eastern Pamir Mountains, Tajikistan using the 2014 Landsat OLI (Operational Land Imager) image. The five major classes identified were sparse vegetation, medium-dense vegetation, dense vegetation, barren land, and water bodies. By utilizing object features in a random forest (...

The spectral formulation of the stochastic finite-element method is applied to the problem of heat conduction in a random medium. Specifically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random fluctuations. Using the spectral stochastic finiteelement method, this paper analyzes the sensitivity of heat conduction proble...

Language resources extracted from structured data (e.g. Linked Open Data) have already been used in various scenarios to improve conventional Natural Language Processing techniques. The meanings of words and the relations between them are made more explicit in RDF graphs, in comparison to human-readable text, and hence have a great potential to improve legacy applications. In this paper, we des...