This book contains latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. It presents a rigorous foundation for the multifractal structure of random geometrically graph directed self-similar measures developed by the author.

Olsen, Lars

1. Introduction 2. Definitions and Statements of Results 3. Examples 4. Proofs of Auxiliary Results 5. The Random Variable Xu,q 6. The Random Multifractal Construction Measure Mu, q and the Qu, q Measure 7. Proofs of Main Results