Subgaussian rates of convergence of means in directed first passage percolation

Kingman, J.F.C. (1968). The ergodic theory of subadditive stochastic processes. J. Roy. Statist. Soc. Ser. B 30

1968

Earlier work this paper cites.

Benjamini, I., Kalai, G. and Schramm, O. (2003). First passage percolation has sublinear distance variance. Ann. Probab. 31

1978

Earlier work this paper cites.

Alexander, K.S. (1990). Lower bounds on the connectivity function in all directions for Bernoulii percolation in two and three dimensions. Ann. Probab. 18

1990

Earlier work this paper cites.

Alexander, K.S. (1993). A note on some rates of convergence in first-passage percolation. Ann. Appl. Probab. 3

1993

Earlier work this paper cites.

Kesten, H. (1993). On the speed of convergence in first-passage percolation. Ann. Appl. Probab. 3

1993

Cited alongside, same era.

Alexander, K.S. (1997). Approximation of subadditive functions and rates of convergence in limiting shape results. Ann. Probab. 25

1997

Cited alongside, same era.

Baik, J., Deift, P. and Johansson, K. (1999). On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc. 12

1999

Cited alongside, same era.

Alexander, K.S. (2001). Power-law corrections to exponential decay of connectivities and correlations in lattice models. Ann. Probab. 29

2001

Cited alongside, same era.

Johansson, K. (2001). Discrete orthogonal polynomial ensembles and the Plancherel measure. Ann. Math. (2) 153

2001

Later among the works it cites.

Cator, E. and Groeneboom, P. (2006). Second class particles and cube root asymptotics for Hammersley’s process. Ann. Probab. 34

2006

Later among the works it cites.

Benaïm, M. and Rossignol, R. (2008). Exponential concentration for first passage percolation through modified Poincaré inequalities. Ann. Inst. Henri Poincaré Probab. Stat. 44

2008

Later among the works it cites.