Random walks constitute one of the most fundamental models in the study of stochastic processes, representing systems that evolve in a sequence of random steps.

Mathematical analysis and modelling is central to infectious disease epidemiology. Here, we provide an intuitive introduction to the process of disease transmission, how this stochastic process ...

Theory of stochastic processes Stochastic processes are at the center of probability theory, both from a theoretical and an applied viewpoint. Stochastic processes have applications in many ...

This project aims at developing mathematical statistics and probability theory to provide methodologies for modeling and analysis of complex random systems. Statistical methods enable analysis of ...

Researchers at Rice University have developed a mathematical model that enhances our understanding of ovarian aging and the timing of menopause, revealing mechanisms that could inform future ...

Content: Stochastic processes in discrete and continuous time; Markov chains: Markov property, Chapman-Kolmogorov equation, classification of states, stationary distribution, examples of infinite ...

Their wide readership includes leading researchers in the many fields in which stochastic models are used, including operations research, telecommunications, computer engineering, epidemiology, ...

In research area C, we will focus on the development and foundation of mathematical models and their approximations that are relevant in the life sciences, physics, chemistry, and engineering. We will ...

SIAM Journal on Numerical Analysis, Vol. 55, No. 3 (2017), pp. 1243-1263 (21 pages) The Heston stochastic volatility model is one of the most fundamental models in mathematical finance. In the ...