7 N ov 2 00 0 Limit Theorems for Height Fluctuations in a Class of Discrete Space and Time Growth Models

@inproceedings{Gravner20087NO,
  title={7 N ov 2 00 0 Limit Theorems for Height Fluctuations in a Class of Discrete Space and Time Growth Models},
  author={Janko Gravner and Craig A. Tracy},
  year={2008}
}
We introduce a class of one-dimensional discrete space-discrete time stochastic growth models described by a height function ht(x) with corner initialization. We prove, with one exception, that the limiting distribution function of ht(x) (suitably centered and normalized) equals a Fredholm determinant previously encountered in random matrix theory. In… CONTINUE READING