The p-spectrum of Random Wavelet Series

Multifractal analysis of functionsWeierstrass' continuous nowhere differentiable functions :with 0 < a < 1, b and odd integer and ab > 1 + 3/2.Given a function f : R R, we want to study the regularity in each of its points : the significance of the different singularities by computing the Hausdorff dimension of the sets of points sharing a common regularity :Weierstrass' continuous nowhere differentiable functions :with 0 < a < 1, b and odd integer and ab > 1 + 3/2.Given a function f : R R, we want to study the regularity in each of its points : the significance of the different singularities by computing the Hausdorff dimension of the sets of points sharing a common regularity :