Abstract
We discuss violation of the strong mixing condition for a class of multidimensional stochastic processes which includes cases of physical interest like ferromagnetic systems. We give a sufficient condition for strong mixing violation in terms of the asymptotic behavior of the autocorrelation function over large distances. As an important example to which our criterion applies,we discuss the two dimensional Ising model at the critical point. Connections with other problems in statistical physics and probability theory are briefly reviewed.
One of the authors (G. J.-L.) would like to thank Prof. L. Streit for the kind hospitality received at ZiF.
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References
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© 1978 Plenum Press, New York
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Cassandro, M., Jona-Lasinio, G. (1978). Asymptotic Behavior of the Autocovariance Function and Violation of Strong Mixing. In: Streit, L. (eds) Many Degrees of Freedom in Field Theory. NATO Advanced Study Institutes Series, vol 30. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8924-2_2
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DOI: https://doi.org/10.1007/978-1-4615-8924-2_2
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