Universality in tiling models
We consider the domino tilings of a large class of Aztec rectangles. For an appropriate scaling limit, we show that, the disordered region consists of roughly two arctic circles connected with a finite number of paths. The statistics of these paths is governed by a kernel, also found in other models...
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| Format: | Article in Journal/Newspaper |
| Language: | unknown |
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CIRM
2019
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| Online Access: | https://dx.doi.org/10.24350/cirm.v.19515403 https://library.cirm-math.fr/Record.htm?record=19286063124910042459 |
| Summary: | We consider the domino tilings of a large class of Aztec rectangles. For an appropriate scaling limit, we show that, the disordered region consists of roughly two arctic circles connected with a finite number of paths. The statistics of these paths is governed by a kernel, also found in other models (universality). The kernel thus obtained is believed to be a master kernel, from which the kernels, associated with critical points, can all be derived. |
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