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Cycle structure of Dickson permutation polynomials
2016Let \(D_n(x,a)\) be the Dickson polynomial over the finite field \(\mathbb F_q\) of degree \(n\) and with parameter \(a\in \mathbb F_q\). It is well known that \(D_n(x,0)=x^n\) permutes \(\mathbb F_q\) if and only if \(\gcd(n,q- 1)=1\), and for \(a\ne 0\), \(D_n(x,a)\) permutes \(\mathbb F_q\) if and only if \(\gcd(n,q^ 2-1)=1\). Furthermore, for fixed
Lidl, Rudolf, Mullen, Gary L.
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Simple Local Polynomial Density Estimators
Journal of the American Statistical Association, 2020Matias D Cattaneo, Michael Jansson
exaly
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
Annual Review of Fluid Mechanics, 2009Habib N Najm
exaly
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1980Richard F Riesenfeld
exaly
Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion
Reliability Engineering and System Safety, 2012Sergey Oladyshkin, Wolfgang Nowak
exaly

