Wiener's Polynomial Chaos for the Analysis and Control of Nonlinear Dynamical Systems with Probabilistic Uncertainties

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

Dongbin Xiu, George Em Karniadakis · SIAM Journal on Scientific Computing · 2002 · 4.7K citations

Natural Sciences, Computational Engineering, Mathematics +16

The Homogeneous Chaos

Norbert Wiener · American Journal of Mathematics · 1938 · 3K citations

Remarks on a Multivariate Transformation

Murray Rosenblatt · The Annals of Mathematical Statistics · 1952 · 2.9K citations · Full text

Natural Sciences, Biostatistics, Measurement Invariance +4

Global sensitivity analysis using polynomial chaos expansions

Bruno Sudret · Reliability Engineering & System Safety · 2007 · 2.4K citations

Natural Sciences, Computational Engineering, Mathematics +12

Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses

G. Zames · IEEE Transactions on Automatic Control · 1981 · 2.3K citations

Natural Sciences, Mathematics, Systems Engineering +16