Abstract
We develop an empirical test aimed at detecting nonergodicity from a single sample of a spin system. We show that the test is asymptotically correct, and we give explicit asymptotics for the error probability. The key tool consists in some new large-deviation estimates.
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Pra, P.D. Detecting nonergodicity in continuous-time spin systems. J Stat Phys 76, 1247–1265 (1994). https://doi.org/10.1007/BF02187061
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DOI: https://doi.org/10.1007/BF02187061