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arXiv · 2204.06613

Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation

Elnur Emrah·Nicos Georgiou·Janosch Ortmann
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Abstract

We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the increment-stationary variants of the model, and is presented in the context of i.i.d. exponential weights for both zero and near-stationary boundary conditions. A main technical novelty in our approach is a new proof of the left-tail fluctuation upper bound with exponent 3/2 for the last-passage times.

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Elnur Emrah, Nicos Georgiou, Janosch Ortmann. 2022-04-13. Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation. https://doi.org/10.1007/s10955-025-03402-3

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