Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910807584931840 |
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| author | Emrah, Elnur Georgiou, Nicos Ortmann, Janosch |
| author_facet | Emrah, Elnur Georgiou, Nicos Ortmann, Janosch |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_06613 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation Emrah, Elnur Georgiou, Nicos Ortmann, Janosch Probability 60K35, 60K37 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. |
| title | Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation |
| topic | Probability 60K35, 60K37 |
| url | https://arxiv.org/abs/2204.06613 |