No title
Let $mu$ be a Gibbs measure of the doubling map $T$ of the circle. For a $mu$-generic point $x$ and a given sequence ${r_n} subset R^+$, consider the intervals $(T^nx - r_n pmod 1, T^nx + r_n pmod 1)$. In analogy to the classical Dvoretzky covering of the circle we study the covering properties of this sequence of intervals. This study is closely related to the local entropy function of the Gibbs
