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Phase transitions and positive definite couplings

✍ Scribed by Andreas Maurer

Publisher
Springer
Year
1990
Tongue
English
Weight
376 KB
Volume
20
Category
Article
ISSN
0377-9017

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✦ Synopsis

The method of infrared bounds is extended to a large class of nearest neighbour interactions in classical spin systems. Temperature controlled bounds on fluctuations follow whenever the coupling function is a positive definite kernel. Existence of phase transitions is demonstrated for the RP ~ model for d>~ 3.

πŸ“œ SIMILAR VOLUMES

Addendum to the Paper β€žOn the Measurabil
Addendum to the Paper β€žOn the Measurability of Positive Definite and Conditionally Positive Definite Functions”
✍ ZoltΓ‘n SasvΓ‘ri πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 116 KB πŸ‘ 1 views

Let f be a positive definite function on a locally compact abelian group G. In [3] we showed that measurability of 1 on an open neighbourhood of the zero implies measurability of f on G. As a main tool we used a result about the support of f [3, Th. I]. The aim of this note is to simplify the proof