%0 Journal Article %T Fine Structure of the Zeros of Orthogonal Polynomials, II. OPUC With Competing Exponential Decay %A Barry Simon %J Mathematics %D 2004 %I arXiv %X We present a complete theory of the asymptotics of the zeros of OPUC with Verblunsky coefficients $\alpha_n = \sum_{\ell=1}^L C_\ell b_\ell^n + O((b\Delta)^n)$ where $\Delta <1$ and $\abs{b_\ell} = b<1$. %U http://arxiv.org/abs/math/0411392v1