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Large deviations for directed percolation on a thin rectangle

Jean-Paul Ibrahim — 2011

ESAIM: Probability and Statistics

Following the recent investigations of Baik and Suidan in [(2005) 325–337] and Bodineau and Martin in [10 (2005) 105–112 (electronic)], we prove large deviation properties for a last-passage percolation model in ℤ 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, (2005) 325–337] and [T. Bodineau and J. Martin, 10 (2005) 105–112 (electronic)],...

Large deviations for directed percolation on a thin rectangle

Jean-Paul Ibrahim — 2012

ESAIM: Probability and Statistics

Following the recent investigations of Baik and Suidan in [(2005) 325–337] and Bodineau and Martin in [ (2005) 105–112 (electronic)], we prove large deviation properties for a last-passage percolation model in ℤ 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, (2005) 325–337] and [T. Bodineau and J. Martin, (2005)...

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