Abstract
A notion of stability of dynamics under distant perturbations is introduced. It is demonstrated, for quasi-local systems, that the stability of an equilibrium state under the same perturbations implies the state is factorial, i.e. strongly clustering in space. We also characterize the set of perturbations necessary to ensure the equivalence of stability and factorialness.
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Communicated by K. Hepp and J. L. Lebowitz
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Narnhofer, H., Robinson, D.W. Dynamical stability and pure thermodynamic phases. Commun.Math. Phys. 41, 89–97 (1975). https://doi.org/10.1007/BF01608550
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DOI: https://doi.org/10.1007/BF01608550