In this paper, we study the dynamics of contagious spreading processes taking place in complex contact networks. We specifically present a lower-bound on the decay rate of the number of nodes infected by a susceptible-infectedsusceptible (SIS) stochastic spreading process. A precise quantification of this decay rate is crucial for designing efficient strategies to contain epidemic outbreaks. Ho...

In the literature, very few researchers considered approximating Brownian motion using Bernstein polynomials. Kowalski 1 is the first one who uses this method. In fact, if we restrict Brownian motion on 0, 1 , it is a real process with finite second order moment. In this paper, we will approximate all of the complex second order moment processes on a, b by Bernstein polynomials and other classi...

In this article, we derive an asymptotic formula for the second moment of S(t) which includes the lower order terms using a prediction from the ratios conjecture of Conrey, Farmer and Zirnbauer. The formula matches very well with actual values of the second moment.

with respect to the new aspects of earthquake engineering in the area of performance besed design, accurate estimation of structural response becomes more important. this requires precise recognizing of relevant parameters in the behavior of structures and using proper methods for applying the effects of distribution of these parameters in the desired response. in this study the effect of distr...

This paper concerns with numerical approximations of solutions of fully nonlinear second order partial differential equations (PDEs). A new notion of weak solutions, called moment solutions, is introduced for fully nonlinear second order PDEs. Unlike viscosity solutions, moment solutions are defined by a constructive method, called the vanishing moment method, and hence, they can be readily com...