Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

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 Grids

A 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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