Mycielski-Regularity of Gibbs Measures on Cookie-Cutter Sets

Jeremiah J. Bass

doi:10.14321/realanalexch.43.2.0249

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Home > Journals > Real Anal. Exchange > Volume 43 > Issue 2 > Article

2018 Mycielski-Regularity of Gibbs Measures on Cookie-Cutter Sets

Jeremiah J. Bass

Real Anal. Exchange 43(2): 249-262 (2018). DOI: 10.14321/realanalexch.43.2.0249

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Abstract

It has been shown that all Radon probability measures on $\mathbb{R}$ are Mycielski-regular, as well as Lebesgue measure on the unit cube and certain self-similar measures. In this paper, these results are extended to Gibbs measures on cookie-cutter sets.

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Jeremiah J. Bass. "Mycielski-Regularity of Gibbs Measures on Cookie-Cutter Sets." Real Anal. Exchange 43 (2) 249 - 262, 2018. https://doi.org/10.14321/realanalexch.43.2.0249