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Asymptotic expansion of the critical point for oriented percolation in high dimensions (2508.12299v1)

Published 17 Aug 2025 in math.PR

Abstract: We study an asymptotic expansion of the critical point for the nearest-neighbor oriented percolation on $\mathbb Zd$ in powers of $d{-1}$ as $d\rightarrow \infty$. The proof relies heavily on the lace expansion.

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