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Stochastic homogenization of fractional obstacle problems

math.AP · 2026-04-10 · unverdicted · novelty 7.0

In a critical scaling regime, the fractional p-capacity density of obstacles from a stationary marked point process is asymptotically additive almost surely, enabling an effective homogenized Dirichlet problem for the fractional p-Laplacian.

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  • Stochastic homogenization of fractional obstacle problems math.AP · 2026-04-10 · unverdicted · none · ref 1

    In a critical scaling regime, the fractional p-capacity density of obstacles from a stationary marked point process is asymptotically additive almost surely, enabling an effective homogenized Dirichlet problem for the fractional p-Laplacian.