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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
