- Main
A near-optimal zero-free disk for the Ising model
Abstract
The partition function of the Ising model of a graph
To prove our result we use a standard reformulation of the partition function of the Ising model as the generating function of even sets. We establish a zero-free disk for this generating function inspired by techniques from statistical physics on partition functions of polymer models. Our approach is quite general and we discuss extensions of it to certain types of polymer models.
Mathematics Subject Classifications: 05C31, 82B20, 68W25
Keywords: Ising model, partition function, even set, polymer model, Fisher zeros, approximate counting
Main Content
Enter the password to open this PDF file:
-
-
-
-
-
-
-
-
-
-
-
-
-
-