In this article a definition of optimal cover for fractal structures is proposed. Expression for Minkowsky dimension is rewritten in terms of functional equation on areas of covers that constructed for different scales.Given the definition, the functional equation is resolved and possible shapes of optimal coverage are defined in correspondence with fractal dimension values.
On the functional equation f(p(z))=g(q(z)), where p,q are "generalized" polynomials and f,g are meromorphic functions
How natural is the definition of the Filippov vector field?
A new definition of t-entropy for transfer operators
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