Measures and their dimension spectrums for cookie-cutter sets in ℝd

A multifractal zeta function for Gibbs measures supported on cookie-cutter sets

“…Here I i n (x) denotes the n-th level basic set containing x. Combining this with the proof of Theorem 4.3 in [4] we obtain dim loc µ(x) = δ for all x ∈ Λ.…”