A proof of the Prelov conjecture
Yi C. Huang, Fei Xue
TL;DR
This paper provides a complete proof of Prelov's 2010 conjecture concerning an information inequality related to the binary entropy function, advancing theoretical understanding in information theory.
Contribution
The paper offers the first rigorous proof of Prelov's conjecture, resolving a long-standing open problem in the field.
Findings
Confirmed the validity of Prelov's conjecture
Established a new inequality for binary entropy functions
Contributed to theoretical foundations of information theory
Abstract
In this paper we present a complete proof of a conjecture due to V. V. Prelov in 2010 about an information inequality for the binary entropy function.
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Taxonomy
TopicsStatistical Mechanics and Entropy