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math.PR2025
Fourier levels and almost sure bounds on higher-order derivatives in first-passage percolation
Ivan Matic, Rados Radoicic, Dan Stefanica
The variance of first-passage percolation admits a decomposition into Fourier levels indexed by the order of environment derivatives. These Fourier levels capture how local perturb…
math.PR2025
Higher-order derivatives of first-passage percolation with respect to the environment
Ivan Matic, Rados Radoicic, Dan Stefanica
We introduce and study derivatives in first-passage percolation with edge weights given by i.i.d. random variables supported on . We show that the variance of the passage…