Thermodynamic Formalism, Large Deviation, and Multifractals
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منابع مشابه
Thermodynamic formalism and large deviations for multiplication-invariant potentials on lattice spin systems
We introduce the multiplicative Ising model and prove basic properties of its thermodynamic formalism such as existence of pressure and entropies. We generalize to one-dimensional “layer-unique” Gibbs measures for which the same results can be obtained. For more general models associated to a d-dimensional multiplicative invariant potential, we prove a large deviation theorem in the uniqueness ...
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In an earlier paper MR] the authors introduced the inverse measure y (dt) of a given measure (dt) on 0; 1] and presented thèinversion formula' f y () = f(1==) which was argued to link the respective multifractal spectra of and y. A second paper RM2] established the formula under the assumption that and y are continuous measures. Here, we investigate the general case which reveals telling detail...
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In an earlier paper MR the authors introduced the inverse measure y dt of a given measure dt on and presented the inversion formula f f which was argued to link the respective multifractal spectra of and y A second paper RM established the formula under the assumption that and y are continuous measures Here we investigate the general case which reveals telling details of interest to the full un...
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