| author: | Massimiliano Mattera |
|---|---|
| title: | Annihilating random walks and perfect matchings of planar graphs |
| keywords: | Perfect matchings, Partition fucntion, Interacting particles systems |
| abstract: |
We study annihilating random walks on
Z
using techniques of P.W. Kasteleyn and R. Kenyon on
perfect matchings of planar graphs. We obtain the
asymptotic of the density of remaining particles and the
partition function of the underlying statistical mechanical
model.
|
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| reference: | Massimiliano Mattera (2003), Annihilating random walks and perfect matchings of planar graphs, in Discrete Random Walks, DRW'03, Cyril Banderier and Christian Krattenthaler (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AC, pp. 173-180 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| pdf-source: | dmAC0119.pdf (92 K) |
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