Incomplete normalization of probability on multifractals
Qiuping A. Wang (ISMANS), L. Nivanen (ISMANS), A. El Kaabouchi, (ISMANS), J.P. Badiali (ISMANS), A. Le M\'ehaut\'e (ISMANS)
TL;DR
This paper extends incomplete probability theory from monofractals to multifractals, addressing cases without equiprobable partition in phase space, enhancing understanding of probability normalization in complex fractal systems.
Contribution
It introduces a generalized framework for incomplete probability normalization applicable to multifractals, broadening the scope beyond monofractal cases.
Findings
Generalized incomplete probability normalization for multifractals
Applicable to phase spaces without equiprobable partitions
Provides theoretical foundation for complex fractal probability analysis
Abstract
This work is an extension of the incomplete probability theory from the simple case of monofractals previously studied to the more general case of multifractals which can occur in the phase space without equiprobable partition.
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