This review intends to provide both a tutorial for beginners without prior experience and a high-level overview of the current state-of-the-art developments for experts in process systems engineering ...

A practical and accessible introduction to numerical methods for stochastic differential equations is given. The reader is assumed to be familiar with Euler's method for deterministic differential ...

This tutorial provides an introduction to Palm distributions for spatial point processes. Initially, in the context of finite point processes, we give an explicit definition of Palm distributions in ...

In this tutorial paper, we discuss the design of geometric observers on Lie groups in the presence of noise. First we review Lie groups, and the mathematical definition of noises on Lie groups, both ...

Kardar-Parisi-Zhang (KPZ) equation: A nonlinear stochastic partial differential equation that describes the temporal evolution of growing interfaces, accounting for local growth, smoothing, and ...

Tian, J. P., & Kannan, D. (2006). Lumpability and Commutativity of Markov Processes. Stochastic Analysis and Applications, 24, 685-702.

Stochastic processes provide a probabilistic framework to model the time-evolving uncertainty intrinsic to financial markets. By characterising random movements such as asset prices, interest ...