• Corpus ID: 67762969

Large deviations for some corner growth models with inhomogeneity

@article{Emrah2015LargeDF,
  title={Large deviations for some corner growth models with inhomogeneity},
  author={Elnur Emrah and Christopher Janjigian},
  journal={arXiv: Probability},
  year={2015}
}
We study an inhomogeneous generalization of the classical corner growth in which the weights are exponentially distributed with random parameters. Our main interest is in the quenched and annealed large deviation properties of the last passage times. We derive variational representations of the rate functions for right tail large deviations. The quenched rate function can be computed explicitly for certain choices of the parameter distributions. We present a mechanism for rate n left tail… 

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