Edge fluctuations of limit shapes
Probability
2017-04-21 v1
Abstract
In random tiling and dimer models we can get various limit shapes which gives the boundaries between different types of phases. The shape fluctuations at these boundaries give rise to universal limit laws, in particular the Airy process. We survey some models which can be analyzed in detail based on the fact that they are determinantal point processes with correlation kernels that can be computed. We also discuss which type of limit laws that can be obtained.
Keywords
Cite
@article{arxiv.1704.06035,
title = {Edge fluctuations of limit shapes},
author = {Kurt Johansson},
journal= {arXiv preprint arXiv:1704.06035},
year = {2017}
}
Comments
57 pages, 34 figures