The minimum value of the $\alpha$ concentration of Procaccia of elements in Fuchsian groups with zero trace generators.

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Summary *

The $alpha$ concentration of Procaccia of different elements of a fractal set $\Omega$ have been interpreted in terms of entropic/energetic relationships between different states in a quantum mechanical system. But in order to study problems in quantum mechanics in terms of fractal geometry, we need the set $\Omega$ to be endowed with an infinite word code. The limit set of Fuchsian groups studied in [1] have an $(\alpha,f(\alpha))$ decomposition of Procaccia that model each $(\alpha,f(\alpha))$ curve in the Tel classification. In this work we establish a connection between a value of $\alpha$ and the spelling of infinite words in the fratal sets depicted in [1]. Information provided by the agent in SIGEVA