Analysis of fractal groups of the type d-(m,r)-Cantor within the framework of Kaniadakis statistics

We have used Kaniadakis statistics in the analysis of fractal structures of the type d-(m,r)-Cantor. The κ-entropy associated with these structures shows linearity with respect to the dimension L of the system and power-law type behavior with respect to the block size s used in the scanning of a determined sequence. The fractal dimension df is related to the entropic parameter κ through an inverse-type law.