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.

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 ...

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

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 ...

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 ...

A broad introduction to stochastic processes for postgraduates with an emphasis on financial and actuarial applications. The course examines Martingales, Poisson Processes, Brownian motion, stochastic ...

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

Stochastic Sauna is a traditional workshop that brings together researchers and students working on probability, statistics, and their applications. The 2022 occasion will be held on 20th December ...

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 ...