Higher-dimensional multifractal analysis

Journal des Mathematiques Pures et Appliquees

Volumn 81, Issue 1, 2002, Pages 67-91

  Barreira, Luis ^a   Saussol, Benoît ^b   Schmeling, Jörg ^c  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^c LUND UNIVERSITY   (Sweden)

Author keywords

Multifractal analysis; Variational principle

Indexed keywords

EID: 0036238495     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(01)01228-4     Document Type: Article

References (14)

1. Dimension and product structure of hyperbolic measures
2. Variational principles and mixed multifractal spectra
3. Applications of multifractal analysis to number theory
4. Sets of "non-typical" points have full topological entropy and full Hausdorff dimension
5. The fractional dimension of a set defined by decimal properties
6. Recurrence, dimension and entropy
7. Rotation, entropy, and equilibrium states
8. Equilibrium States in Ergodic Theory
9. Dimension Theory in Dynamical Systems: Contemporary Views and Applications
10. Thermodynamic Formalism
11. Symbolic dynamics for β-shifts and self-normal numbers
12. On the completeness of multifractal spectra
13. Pointwise dimension for regular hyperbolic measures for endomorphisms
14. On the variational principle for the topological entropy of certain non-compact sets