Stochastic velocity motions and processes with random time

Fuzzy Modelling Stochastic Processes Describing Brownian Motions

Random Variables and Stochastic Processes

Stochastic Processes and Random Fields

Stochastic processes in random graphs

We study the asymptotics of large, moderate and normal deviations for the connected components of the sparse random graph by the method of stochastic processes. We obtain the logarithmic asymptotics of large deviations of the joint distribution of the number of connected components, of the sizes of the giant components, and of the numbers of the excess edges of the giant components. For the sup...

Fractional Poisson Processes and Related Planar Random Motions

We present three different fractional versions of the Poisson process and some related results concerning the distribution of order statistics and the compound Poisson process. The main version is constructed by considering the difference-differential equation governing the distribution of the standard Poisson process, N(t), t > 0, and by replacing the time-derivative with the fractional Dzerba...