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- W2113286522 abstract "We investigate the problem of percolation in directed Poisson-based random geometric graphs with out-degree 1. Our main result shows that percolation does not occur if the underlying graph satisfies a suitable shielding condition and there is a positive probability of modifying the graph locally inside large boxes so that any path entering the box is stopped. To illustrate the scope of our method, we conclude by applying it to a family of subgraphs of the K-nearest neighbor graph and to a line-segment based lilypond model." @default.
- W2113286522 created "2016-06-24" @default.
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- W2113286522 date "2013-01-30" @default.
- W2113286522 modified "2023-09-27" @default.
- W2113286522 title "Deterministic walks in random environment" @default.
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