
Stochastic system dynamics modelling mainly involves stochastic processes, both continuous-time and discrete-time (time series). The talks planned today are heterogeneous in content but share as common denominator the analysis of the stochastic evolution of phenomena common to many models. Motivated by modelling issues in different fields, in this webinar E. Di Nardo will cover topics within the First Passage Time (FPT) problem, consisting in finding the distribution of the random variable representing the time a stochastic process crosses a threshold for the first time. S. Herrmann will introduce a new technique for the path approximation of one-dimensional stochastic processes. The results apply to the Brownian motion and to some families of stochastic differential equations whose distributions could be represented as a function of a time-changed Brownian motion (usually known as L and G-classes). L.A. Gil-Alana will focus on fractional integration methods to obtain new evidence on polar amplification. The adopted modelling framework is very general since it allows the differencing parameter to take any real value, including fractional ones, and provides useful information on both the short and the long run. Finally O.S. Yaya will investigate cointegration and dynamic connectedness in market volatility of cryptocurrency pairs within an updated cointegration framework.
Date: 31 October 2024
Time: 09:00 am CET | 04:00 pm CST (Asia)
Webinar ID: 849 2546 3316
Webinar Secretariat: journal.webinar@mdpi.com


The webinar on Stochastic processes and Applications, presented by researchers from the University of Turin (Italy), the University of Navarra (Spain) and the Institut de Mathématiques de Bourgogne (France), explored latest research in the area of stochastic modeling of dynamic systems that evolve over time. Stochastic system dynamics modelling mainly involves stochastic processes, both continuous-time and discrete-time. The talks planned today are heterogeneous in content but share as common denominator the analysis of the stochastic evolution of certain phenomena common to many models and the employment of computational methods to get information on the modelling. It began with a method useful in approximating first passage time probability density of a suitable class of stochastic processes, offering insights into a new acceptance-rejection method to sample instances from the density. Next, fractional integration methods are presented to obtain new evidence on polar amplification providing useful information on both the short and the long run. The session ends introducing a new technique for the path approximation of one-dimensional stochastic processes. The results apply to the Brownian motion and to some families of stochastic differential equations whose distributions could be represented as a function of a time-changed Brownian motion. These insights are expected to inspire further research and collaborations.
The webinar was hosted via Zoom and required registration to attend. The full recording can be found below. In order to learn about future webinars, you can sign up to our newsletter by clicking “Subscribe” at the top of the page.
Stochastic Processes and Its Applications
Edited by Dr. Elvira Di Nardo and Prof. Dr. Luis Alberiko Gil-Alana
Deadline for submission: 31 May 2025