Subgaussian rates of convergence of means in directed first passage percolation

Kenneth S. Alexander

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arXiv · 1101.1549

Subgaussian rates of convergence of means in directed first passage percolation

Kenneth S. Alexander

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Abstract

We consider directed first passage percolation on the integer lattice, with time constant $μ$ and passage time $a_{0n}$ from the origin to $(n,0,...,0)$. It is shown that under certain conditions on the passage time distribution, $Ea_{0n} - nμ= O(n^{1/2}(\log\log n)/\log n)$.

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Kenneth S. Alexander. 2011-05-18. Subgaussian rates of convergence of means in directed first passage percolation. https://arxiv.org/abs/1101.1549

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