Multifractal formalism derived from thermodynamics for general dynamical systems
Multifractal formalism derived from thermodynamics for general dynamical systems
We show that under quite general conditions, various multifractal spectra may be obtained as Legendre transforms of functions $T$: $ \RR\to \RR$ arising in the thermodynamic formalism. We impose minimal requirements on the maps we consider, and obtain partial results for any continuous map $f$ on a compact metric space. …