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math.DS2023
Multifractal analysis via Lagrange duality
Alex Rutar
We provide a self-contained exposition of the well-known multifractal formalism for self-similar measures satisfying the strong separation condition. At the heart of our method lie…
math.DS2023
Tangents of invariant sets
Antti Käenmäki, Alex Rutar
We study the fine scaling properties of sets satisfying various weak forms of invariance. For general attractors of possibly overlapping bi-Lipschitz iterated function systems, we…