Entropy function for multifractals

@article{citeulike:688076, abstract = {Following an analogy to the formalism of statistical mechanics; an entropy function and a free energy are introduced for multifractals. These functions give a full description of the scaling behaviors of multifractals. The method of Halsey et al . [Phys. Rev. A 33 ; 1141 (1986)] for characterizing multifractals can naturally be interpreted by the use of these functions. For the invariant set of a dynamical system; these functions are furthermore related to the measure-theoretic (Kolmogolov-Sinai) entropy; the topological entropy; and the Lyapunov exponent.}, author = {Kohmoto, Mahito }, citeulike-article-id = {688076}, doi = {http://dx.doi.org/10.1103/PhysRevA.37.1345}, journal = {Physical Review A}, keywords = {fractal, incommensurate, multifractal}, month = {February}, number = {4}, pages = {1345+}, posted-at = {2006-06-07 10:19:24}, priority = {3}, publisher = {American Physical Society}, title = {Entropy function for multifractals}, url = {http://dx.doi.org/10.1103/PhysRevA.37.1345}, volume = {37}, year = {1988} }

TY - JOUR ID - citeulike:688076 L3 - citeulike-article-id:688076 TI - Entropy function for multifractals JF - Physical Review A VL - 37 IS - 4 SP - 1345 PB - American Physical Society N2 - Following an analogy to the formalism of statistical mechanics; an entropy function and a free energy are introduced for multifractals. These functions give a full description of the scaling behaviors of multifractals. The method of Halsey et al . [Phys. Rev. A 33 ; 1141 (1986)] for characterizing multifractals can naturally be interpreted by the use of these functions. For the invariant set of a dynamical system; these functions are furthermore related to the measure-theoretic (Kolmogolov-Sinai) entropy; the topological entropy; and the Lyapunov exponent. KW - fractal KW - incommensurate KW - multifractal AU - Kohmoto, Mahito PY - 1988/02/15/ UR - http://dx.doi.org/10.1103/PhysRevA.37.1345 ER -