Super-exponential convergence of Gibbs states in iterated schemes lattice models

References

• R. E. Bowen Hausdorff dimension of quasi-circles Publ. Math. IHES 1979 50 11 25
   Google Scholar
• D. Fried Zeta function of Ruelle and Selberg I Ann. Sci Es. Nor. Sup 1986 9 491 517
   Google Scholar
• A. Grothendieck Produits tensoriels topologiques et espaces nucléaires Mem. Amer. Math. Soc 1955 16
   Google Scholar
• A. Grothendieck La theórie de Fredholm Bull. Soc. Math. France 1956 84 319 384
   Google Scholar
• O. Jenkinson M. Pollicott Computing invariant densities and metric entropy Comm. Math. Phys 2000 211 687 703
   Google Scholar
• O. Jenkinson M. Pollicott Calculating Hausdorff dimension of Julia sets and Kleinian limit sets Amer. J. Math 2002 124 495 545
   Web of Science ®Google Scholar
• A. Katok B. Hasselblatt Introduction to the Modern Theory of Dynamical Systems Cambridge Univ. Press 1995
   Google Scholar
• J. F. King J. S. Geronimo Singularity spectrum for recurrent IPS attractors Nonlinearity 1992 6 337 348
   Google Scholar
• A. M. Mesón F. Vericat A statistical mechanics approach for a rigidity problem J. Stat. Phys 2007 126 2 391 417
   Google Scholar
• M. Pollicott H. Weiss How smooth is your wavelet? Wavelet regularity vis thermodynamic formalism Commun. Math. Phys., to appear
   Google Scholar
• D. Ruelle Thermodynamic Formalism, Enciclopedia of Mathematics Addison-Wesley 1978
   Google Scholar
• H. Sumi M. Urbanski Real analyticity of Hausdorff dimension for expanding rational semigroups aeXiv: 0707.2447v2 (2007)k
   Google Scholar