Discrete Random Walks, DRW'03
Cyril Banderier and Christian Krattenthaler (eds.)
DMTCS Conference Volume AC (2003), pp. 333-344
| author: | Alessandro Vezzani, Davide Cassi and Raffaella Burioni |
|---|---|
| title: | Average properties of combinatorial problems and thermodynamics of spin models on graphs |
| keywords: | statistical mechanics, graphs, random-walks, percolation |
| abstract: |
The study of thermodynamic properties of classical spin
models on infinite graphs naturally leads to consider the
new combinatorial problems of random-walks and percolation
on the average. Indeed, spin models with
O(n)
continuous symmetry present spontaneous magnetization
only on transient on the average graphs, while models with
discrete symmetry (Ising and Potts) are spontaneously
magnetized on graphs exhibiting percolation on the average.
In this paper we define the combinatorial problems on the
average, showing that they give rise to classifications of
graph topology which are different from the ones obtained
in usual (local) random-walks and percolation. Furthermore,
we illustrate the theorem proving the correspondence
between Potts model and average percolation.
|
| If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |
| reference: | Alessandro Vezzani and Davide Cassi and Raffaella Burioni (2003), Average properties of combinatorial problems and thermodynamics of spin models on graphs, in Discrete Random Walks, DRW'03, Cyril Banderier and Christian Krattenthaler (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AC, pp. 333-344 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAC0131.ps.gz (96 K) |
| ps-source: | dmAC0131.ps (520 K) |
| pdf-source: | dmAC0131.pdf (256 K) |
The first source gives you the `gzipped' PostScript, the second the plain PostScript and the third the format for the Adobe accrobat reader. Depending on the installation of your web browser, at least one of these should (after some amount of time) pop up a window for you that shows the full article. If this is not the case, you should contact your system administrator to install your browser correctly.
Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.
Automatically produced on Di Sep 27 10:09:26 CEST 2005 by gustedt
