Randomness is inherent to real world problems so faculty research in this area includes the development and application of probabilistic tools to model, predict, and analyze randomness in applications ...

This course provides doctoral students the foundations of applied probability and stochastic modeling. The first part of the course covers basic concepts in probability, such as the Borel Cantelli ...

Systematic study of Markov chains and some of the simpler Markov processes including renewal theory, limit theorems for Markov chains, branching processes, queuing theory, birth and death processes, ...

Semi-Markov jump systems represent dynamical processes in which the system parameters switch according to a stochastic rule that allows the dwelling time in each mode to follow an arbitrary ...

Composite materials, characterised by their heterogeneous architecture, present significant challenges in predicting dynamic behaviour under real-world conditions. Stochastic analysis integrates ...

a) KLA-Tencor Corporation, Austin, TX 78759, U.S.A. b) KLA-Tencor Corporation, Milpitas, CA 95035, U.S.A. Stochastics effects are the ultimate limiter of optical lithography technology and are a major ...