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Can I read Stein's Method, Heat Kernel, and Linear Functions on the Orthogonal Groups on EtoBox?
Stein's Method, Heat Kernel, and Linear Functions on the Orthogonal Groups by Fulman, Jason; Röllin, Adrian is a scholarly article available to read on EtoBox.
What is Stein's Method, Heat Kernel, and Linear Functions on the Orthogonal Groups about?
Combining Stein's method with heat kernel techniques, we study the function Tr(AO), where A is a fixed n by n real matrix over such that Tr(AA^t)=n, and O is from the Haar measure of the orthogonal group O(n,R). It is shown that the total variation distance of the random variable Tr(AO) to a standard normal random variable is bounded by 2 * squareroot(2) /(n-1), slightly improving the constant in a bound of Meckes, which was obtained by completely different methods.
- Author
- Fulman, Jason; Röllin, Adrian
- Published
- 2011
- Language
- EN