Stein's Method and Characters of Compact Lie Groups

Details Stein's Method and Characters of Compact Lie Groups Stein's Method and Characters of Compact Lie Groups

2008-06-13

arxiv.org/abs/0806.2168v2

Mathematics

Probability

22 pages; same results, but more efficient exposition in Section 3.1

Scientific paper

Stein's method is used to study the trace of a random element from a compact Lie group or symmetric space. Central limit theorems are proved using very little information: character values on a single element and the decomposition of the square of the trace into irreducible components. This is illustrated for Lie groups of classical type and Dyson's circular ensembles. The approach in this paper will be useful for the study of higher dimensional characters, where normal approximations need not hold.

Affiliated with

Also associated with

No associations

Rating

Stein's Method and Characters of Compact Lie Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stein's Method and Characters of Compact Lie Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stein's Method and Characters of Compact Lie Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122797