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Maximal flow through oriented percolation as p tends to 1
Prove that the deficit of maximal flow through oriented bond percolation behaves like sqrt(2(1 − p)) as p tends to 1.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "probability", |
| 5 | "statistical-mechanics" |
| 6 | ], |
| 7 | "type": "proof", |
| 8 | "source": { |
| 9 | "key": "aldous", |
| 10 | "name": "David Aldous's open problems", |
| 11 | "url": "https://www.stat.berkeley.edu/~aldous/Research/OP/hammersley_flow.html", |
| 12 | "id": "hammersley_flow", |
| 13 | "curator": "David Aldous", |
| 14 | "poser": "David Aldous and Jason Lenderman", |
| 15 | "status": "open", |
| 16 | "as_of": "2026-10-20", |
| 17 | "catalog": "0521c19bbd38" |
| 18 | } |
| 19 | } |