Large deviation spectra based on wavelet leaders (Q346654)

Let \(f\) be a locally bounded real function, and \(h_{f}(x)\) its Hölder coefficient at the point \(x\). Let \(B_h\) denote the set of points \(x\) where \(h_{f}(x)=h\), and \(d_{f}(h)\) the Hausdorff dimension of \(B_h\). The function \(d_{f}(h)\) is called multifractal spectrum of \(f\). The authors obtain certain estimates for it in terms of characteristics of wavelet expansions of the function \(f\).