Multifractal behavior of polynomial Fourier series
arXiv:1208.6533
Abstract
We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives the Hausdorff dimension of the set of points with a given Hölder exponent for f.
36 pages, 2 figures. Submitted for publication