Multifractal Analysis of inhomogeneous Bernoulli products
Athanasios Batakis (MAPMO), Benoit Testud (LAMFA)
TL;DR
This paper investigates the multifractal properties of inhomogeneous Bernoulli measures, establishing conditions for the multifractal formalism and revealing the potential for dense phase transitions.
Contribution
It provides new conditions for the validity of the multifractal formalism and demonstrates the possibility of dense phase transitions in inhomogeneous Bernoulli measures.
Findings
Conditions ensuring the validity of the multifractal formalism.
Existence of dense sets of phase transitions in these measures.
Enhanced understanding of the multifractal structure of coin tossing measures.
Abstract
We are interested to the multifractal analysis of inhomogeneous Bernoulli products which are also known as coin tossing measures. We give conditions ensuring the validity of the multifractal formalism for such measures. On another hand, we show that these measures can have a dense set of phase transitions.
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