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math.PR2018★ 3 cited
A Large deviation principle for last passage times in an asymmetric Bernoulli potential
Federico Ciech, Nicos Georgiou
We prove a large deviation principle and give an expression for the rate function, for the last passage time in a Bernoulli environment. The model is exactly solvable and its invar…
math.PR2018
Last passage percolation in an exponential environment with discontinuous rates
Federico Ciech, Nicos Georgiou
We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment. Rates for the exponential random variables are o…
math.PR2017
Order of the variance in the discrete Hammersley process with boundaries
Federico Ciech, Nicos Georgiou
We discuss the order of the variance on a lattice analogue of the Hammersley process with boundaries, for which the environment on each site has independent, Bernoulli distributed…