Equality of Hölder exponents for distribution functions of Gibbs measures

Pieter Allaart, Johannes Jaerisch

公開日: 2025/9/15

Abstract

We show that the pointwise H\"older spectrum of the distribution function of a Gibbs measure supported on the attractor of a self-conformal subset of the real line satisfies the multifractal formalism.

Equality of Hölder exponents for distribution functions of Gibbs measures | SummarXiv | SummarXiv