Multifractal analysis of hyperbolic flows

Communications in Mathematical Physics

Volumn 214, Issue 2, 2000, Pages 339-371

  Barreira, L ^a   Saussol, B ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034348253     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000268     Document Type: Article

References (12)

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2. 2. Barreira, L., Pesin, Ya. and Schmeling, J.: Dimension and product structure of hyperbolic measures. Ann. of Math. (2) 149, 755-783 (1999)
3. 3. Barreira, L. and Schmeling, J.: Sets of "non-typical" points have full topological entropy and full Hausdorff dimension. Israel J. Math. 116, 29-70 (2000)
4. 4. Bowen, R.: Symbolic dynamics for hyperbolic flows. Am. J. Math. 95, 429-460 (1973)
5. 5. Bowen, R. and Walters, P.: Expansive one-parameter flows. J. Diff. Eqs. 12, 180-193 (1972)
6. 6. Katok, A. and Hasselblatt, B.: Introduction to the modern theory of dynamical systems. Encyclopedia of Mathematics and its Applications, vol. 54, Cambridge: Cambridge Univ. Press, 1995
7. 7. Pesin, Ya.: Dimension theory in dynamical systems: Contemporary views and applications. Chicago Lectures in Mathematics, Chicago, IL: Chicago University Press, 1997
8. 8. Pesin, Ya. and Sadovskaya, V.: Multifractal analysis of conformal axiom A flows, Preprint
9. 9. Pesin, Ya. and Weiss, H.: A multifractal analysis of equilibrium measures for conformal expanding maps and Markov Moran geometric constructions. J. Statist. Phys. 86, 233-275 (1997)
10. 10. Ratner, M.: Markov partitions for Anosov flows on n-dimensional manifolds. Israel J. Math. 15, 92-114 (1973)
11. 11. Schmeling, J.: On the completeness of multifractal spectra. Ergodic Theory Dynam. Systems 19, 1595-1616 (1999)
12. 12. Schmeling, J.: Entropy preservation under Markov coding. Preprint