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@inproceedings{Balzs2006CubeRF, title={Cube root fluctuations for the corner growth model associated to the exclusion process}, author={M{\'a}rton Bal{\'a}zs and Eric A. Cator and Timo Sepp{\"a}l{\"a}inen}, year={2006} }

- Published 2006

We study the last-passage growth model on the planar integer lattice with exponential weights. With boundary conditions that represent the equilibrium exclusion process as seen from a particle right after its jump we prove that the variance of the last-passage time in a characteristic direction is of order t. With more general boundary conditions that include the rarefaction fan case we show that the last-passage time fluctuations are still of order t, and also that the transversal fluctuations… CONTINUE READING

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