A note on Ising random currents, Ising-FK, loop-soups and the Gaussian free field
METADATA ONLY
Loading...
Author / Producer
Date
2015-11-17
Publication Type
Working Paper
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We make a few elementary observations that relate directly the items mentioned in the title. In particular, we note that when one superimposes the random current model related to the Ising model with an independent Bernoulli percolation model with well-chosen weights, one obtains exactly the FK-percolation (or random cluster model) associated with the Ising model. We also point out that this relation can be interpreted via loop-soups, combining the description of the sign of a Gaussian Free Field on a discrete graph knowing its square (and the relation of this question with the FK-Ising model) with the loop-soup interpretation of the random current model.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
Pages / Article No.
1511.05524
Publisher
Cornell University
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Organisational unit
09453 - Werner, Wendelin (ehemalig) / Werner, Wendelin (former)
02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies
Notes
Funding
155922 - Exploring two-dimensional continuous structures (SNF)
Related publications and datasets
Is previous version of: