@article{oai:nagoya.repo.nii.ac.jp:00031044,
author = {Jaerisch, Johannes and Sumi, Hiroki},
issue = {2},
journal = {Journal of Mathematical Analysis and Applications},
month = {Nov},
note = {We extend the multifractal formalism for the local dimension spectrum of a Gibbs measure μ supported on the attractor Λ of a conformal iterated functions system on the real line. Namely, for α∈ℝ, we establish the multifractal formalism for the Hausdorff dimension of the set of x∈Λ for which the μ-measure of a ball of radius rn centred at x obeys a power law rn^α, for a sequence rn→0. This allows us to investigate the Hölder regularity of various fractal functions, such as distribution functions and conjugacy maps associated with conformal iterated function systems., ファイル公開：2022-11-15},
title = {Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line},
volume = {491},
year = {2020}
}