Journal article icon

Journal article

Phase separation in random cluster models II: the droplet at equilibrium, and local deviation lower bounds

Abstract:

We study the droplet that results from conditioning the subcritical Fortuin-Kasteleyn planar random cluster model on the presence of an open circuit Gamma_0 encircling the origin and enclosing an area of at least (or exactly) n^2. We consider local deviation of the droplet boundary, measured in a radial sense by the maximum local roughness, MLR(Gamma_0), this being the maximum distance from a point in the circuit Gamma_0 to the boundary of the circuit's convex hull; and in a longitudinal sens...

Expand abstract
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1214/11-AOP646

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Statistics
Role:
Author
Journal:
ANNALS OF PROBABILITY
Volume:
40
Issue:
3
Pages:
921-978
Publication date:
2010-01-10
DOI:
ISSN:
0091-1798
URN:
uuid:71311183-4c28-4dda-9b09-1b6f1a658968
Source identifiers:
204293
Local pid:
pubs:204293
Language:
English
Keywords:

Terms of use


Metrics


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP