Random discrete structures such as random graphs or matrices play an important role in several disciplines, including combinatorics, coding theory, computational complexity theory, and the theory of algorithms. Over the past about 20 years, non-rigorous techniques from statistical mechanics have been adapted for/applied to many of these problems. The monographs [3, 4, 8] provide an overview of ...

I present ongoing developments on hybrid models which combine the potential model, for the description of the background, with the R-matrix model, for the description of discrete states. Physical parameters of discrete states are converted into formal R-matrix parameters, taking into account the potential background. The nuclear part of this potential is constructed by a new variant of an inver...

Phase noise is one of the main impairments in wireless communications systems, due to its strong distortion of the transmitted signal. In this work, a discrete time phase noise model for simulation environments is proposed. This model can be used to obtain a better understanding of the effects of phase noise on the behavior of communications systems. It has already been shown that phase noise c...

edge detection and edge enhancement techniques play an essential role in interpreting potential field data. this paper describes the application of various edge detection techniques to gravity data in order to delineate the edges of subsurface structures. the edge detection methods comprise analytic signal, total horizontal derivative (thdr), theta angle, tilt angle, hyperbolic of tilt angle (h...

the speech is an easily accessible signal which clearly represents the characteristics of larynx and vocal folds. therefore, application of some proper machine learning algorithms on a small part of a recorded speech signal may help in non-invasive diagnosing of vocal fold diseases. since there are some experimental evidences that suggest the existence of chaotic behavior in speech production s...

We numerically investigate the necessary ingredients for reentrant behavior in the phase diagram of physical systems. Studies on the possibly simplest model that exhibits reentrance, the two-dimensional random-bond Ising model, show that reentrant behavior is generic whenever frustration is present in the model. For both discrete and continuous disorder distributions, the phase diagram in the d...

the microstructure of dual phase steels can be considered as a matrix of ferrite phase reinforced by martensite particles. recent measurements show that the mechanical properties of the ferrite phase are changed with the distance from the martensite grains. in this paper, a new method has been proposed to consider this phenomenon in finite element modeling of dual phase steels microstructure. i...