Extensivity and nonextensivity of two-parameter entropies
Somayeh Asgarani, Behrouz Mirza

TL;DR
This paper explores the conditions under which two-parameter entropies are extensive, using a generalized product to relate subsystem correlations to joint probabilities, ensuring entropy extensivity.
Contribution
It introduces conditions for the extensivity of two-parameter entropies and employs a generalized product to connect subsystem correlations with joint probabilities.
Findings
Derived conditions for entropy extensivity.
Established a generalized product framework.
Linked subsystem correlations to joint probabilities.
Abstract
In this paper, we investigate two-parameter entropies and obtain some conditions for their extensivity. By using a generalized , correlations for subsystems are related to the joint probabilities, so that the entropy remains extensive.
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