Year: 2010
Type: preprint
Abstract: New proofs of theorems on the multifractal formalism are given. They yield results even at points q for which Olsen's functions b(q) and B(q) differ. Indeed, we provide an example of measure for which functions b and B differ and for which the Hausdorff dimension of the level sets of the local Holder exponent are given by the Legendre transform of b and their packing dimension by the Legendre transform of B.
Source: arXiv (Cornell University)
Authors: Nasr, Fathi Ben, Peyrière, Jacques
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1674382033