| Mittagsseminar Talk Information | |
Date and Time: Thursday, March 23, 2006, 12:15 pm Duration: This information is not available in the database Location: This information is not available in the database Speaker: Joshua Cooper (Courant Inst., NYU and ETH Zürich) Random Linear Extensions of GridsA grid poset -- or "grid" for short -- is a product of chains.
We ask, what does a random linear extension of a grid look like? In
particular, we show that the average "jump number," i.e., the number of
times that two consecutive elements in a linear extension are
incomparable in the poset, is close to its maximum possible value. The
techniques employed rely on entropy arguments. We mention several
interesting questions about this wide-open area.
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