Stein's method, heat kernel, and traces of powers of elements of compact Lie groups
Probability
2010-05-11 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
Combining Stein's method with heat kernel techniques, we show that the trace of the jth power of an element of U(n,C), USp(n,C) or SO(n,R) has a normal limit with error term of order j/n. In contrast to previous works, here j may be growing with n. The technique should prove useful in the study of the value distribution of approximate eigenfunctions of Laplacians.
Keywords
Cite
@article{arxiv.1005.1306,
title = {Stein's method, heat kernel, and traces of powers of elements of compact Lie groups},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:1005.1306},
year = {2010}
}
Comments
17 pages