# Large deviations for directed percolation on a thin rectangle

ESAIM: Probability and Statistics (2011)

- Volume: 15, page 217-232
- ISSN: 1292-8100

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topIbrahim, Jean-Paul. "Large deviations for directed percolation on a thin rectangle." ESAIM: Probability and Statistics 15 (2011): 217-232. <http://eudml.org/doc/277140>.

@article{Ibrahim2011,

abstract = {Following the recent investigations of Baik and Suidan in [Int. Math. Res. Not. (2005) 325–337] and Bodineau and Martin in [Electron. Commun. Probab. 10 (2005) 105–112 (electronic)], we prove large deviation properties for a last-passage percolation model in ℤ+2 whose paths are close to the axis. The results are mainly obtained when the random weights are Gaussian or have a finite moment-generating function and rely, as in [J. Baik and T.M. Suidan, Int. Math. Res. Not. (2005) 325–337] and [T. Bodineau and J. Martin, Electron. Commun. Probab. 10 (2005) 105–112 (electronic)], on an embedding in Brownian paths and the KMT approximation. The study of the subexponential case completes the exposition.},

author = {Ibrahim, Jean-Paul},

journal = {ESAIM: Probability and Statistics},

keywords = {large deviations; random growth model; Skorokhod embedding theorem},

language = {eng},

pages = {217-232},

publisher = {EDP-Sciences},

title = {Large deviations for directed percolation on a thin rectangle},

url = {http://eudml.org/doc/277140},

volume = {15},

year = {2011},

}

TY - JOUR

AU - Ibrahim, Jean-Paul

TI - Large deviations for directed percolation on a thin rectangle

JO - ESAIM: Probability and Statistics

PY - 2011

PB - EDP-Sciences

VL - 15

SP - 217

EP - 232

AB - Following the recent investigations of Baik and Suidan in [Int. Math. Res. Not. (2005) 325–337] and Bodineau and Martin in [Electron. Commun. Probab. 10 (2005) 105–112 (electronic)], we prove large deviation properties for a last-passage percolation model in ℤ+2 whose paths are close to the axis. The results are mainly obtained when the random weights are Gaussian or have a finite moment-generating function and rely, as in [J. Baik and T.M. Suidan, Int. Math. Res. Not. (2005) 325–337] and [T. Bodineau and J. Martin, Electron. Commun. Probab. 10 (2005) 105–112 (electronic)], on an embedding in Brownian paths and the KMT approximation. The study of the subexponential case completes the exposition.

LA - eng

KW - large deviations; random growth model; Skorokhod embedding theorem

UR - http://eudml.org/doc/277140

ER -

## References

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