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Fractals, Multifractals, and Thermodynamics
The basic concept of fractals and multifractals are introduced for pedagogical purposes, and the present status is reviewed. The emphasis is put on illustrative examples with simple mathematical structures rather than on numerical methods or experimental techniques. As a general characterization of fractals and multifractals a thermodynamical formalism is introduced, establishing a connection between fractal properties and the statistical mechanics of spin chains.