The Z-invariant massive Laplacian on isoradial graphs
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About this item
| Description: |
Boutillier, C (Université Pierre & Marie Curie-Paris VI)
Friday 30 January 2015, 11:30-12:30 |
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| Created: | 2015-02-05 14:56 |
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| Collection: | Random Geometry |
| Publisher: | Isaac Newton Institute |
| Copyright: | Boutillier, C |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Co-authors: Béatrice de Tilière (LPMA, UPMC), Kilian Raschel (LMPT, University of Tours)
Isoradial graphs form an interesting subset of planar graphs to study critical integrable models: the geometric properties of their embedding are related to the Yang-Baxter equation and allows one to develop a discrete theory of complex analysis. After having reviewed some results about critical models on those graphs, we will define a massive Laplacian on isoradial graphs with integrability properties. This massive Laplacian can be used to study off-criticality models from statistical mechanics on these infinite non-periodic graphs (e.g. spanning forests), for which local correlations are obtained, and phase transition as the mass vanishes can be studied analytically. |
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