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- W4311016878 abstract "Previously, Sarkar and Sun have shown that for supercritical oriented percolation in dimension $1+1$, the set of rightmost infinite open paths converges to the Brownian web after proper centering and scaling. In this note, we show that a pair of sticky Brownian webs arise naturally if one considers the set of right-most infinite open paths for two coupled percolation configurations with distinct (but close) percolation parameters. This leads to a natural conjecture on the convergence of the dynamical supercritical oriented percolation model to the so-called dynamical Brownian web." @default.
- W4311016878 created "2022-12-22" @default.
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- W4311016878 date "2018-11-05" @default.
- W4311016878 modified "2023-10-16" @default.
- W4311016878 title "Perturbations of supercritical oriented percolation and sticky Brownian webs" @default.
- W4311016878 doi "https://doi.org/10.48550/arxiv.1811.01849" @default.
- W4311016878 hasPublicationYear "2018" @default.
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