A Correction Note: Attractive Nearest Neighbor Spin Systems on the Integers
Jeffrey Lin
TL;DR
This paper corrects a previous estimate in Liggett's work on attractive translation invariant nearest neighbor spin systems on the integers, clarifying the mathematical properties of these systems.
Contribution
It provides a correction to an incorrect estimate in Liggett's original proof regarding attractive spin systems on the integers.
Findings
Corrected estimate improves the accuracy of Liggett's results
Clarifies the mathematical properties of attractive nearest neighbor spin systems
Ensures the validity of previous theoretical conclusions
Abstract
In this note, we discuss a proof in T. Liggett's work on attractive translation invariant nearest neighbor spin systems on the integers. A correction to a wrong estimate is provided.
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Taxonomy
TopicsAdvanced Algebra and Logic · Quantum Computing Algorithms and Architecture · semigroups and automata theory