On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity.

On a General Concept of Multifractality : Multifractal Spectra for Dimensions , Entropies , and Lyapunov Exponents

Multifractal Spectra and Multifractal Rigidity for Horseshoes

We discuss a general concept of multifractality, and give a complete description of the multifractal spectra for Gibbs measures on two-dimensional horseshoes. We discuss a multifractal characterization of surface diffeomorphisms.

The Graduate School THERMODYNAMIC FORMALISM AND MULTIFRACTAL

We investigate to what degree results in dimension theory and multifractal formalism can be derived as a direct consequence of thermodynamic properties of a dynamical system. We show that under quite general conditions, various multifractal spectra (the entropy spectrum for Birkhoff averages and the dimension spectrum for pointwise dimensions, among others) may be obtained as Legendre transform...

Presence of Multifractality in High-Energy Nuclear Collisions

In the present study an attempt is made to examine multifractality in multiparticle production in relativistic nuclear collisions; multifractality is investigated in 14.5 A GeV/c 28Si-nucleus collisions. For this, Gq-moments are calculated and variations of ln q G with lnδη − are looked into. Values of mass exponents, tq, and generalised dimensions, Dq, are obtained. Analysis of multifractal mo...

Lyapunov Spectrum of Asymptotically Sub-additive Potentials

For general asymptotically sub-additive potentials (resp. asymptotically additive potentials) on general topological dynamical systems, we establish some variational relations between the topological entropy of the level sets of Lyapunov exponents, measuretheoretic entropies and topological pressures in this general situation. Most of our results are obtained without the assumption of the exist...