A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
WeierstraB-Institut fiir Angewandte Analysis und Stochastik Extremality of the disordered state ·for the Ising model on general trees
unpublished
We develop a method to study extremality of the disordered state JP.B for the Ising model on a general countable tree T. It is shown that the tail CT-field is JP.B-trivial as soon as f3 is less than the spin glass critical inverse temperature f3;a, which is determined from the relation tanh(f3;a) = 1/ Jbr(T). The method is based on the FK representation of ferromagnetic systems and recursive estimates on conditional expectations of the spin at the root. Similar estimates in the context of the
fatcat:v6xy26rccbge3gmpv7aztfe354