- Series
- Combinatorics Seminar
- Time
- Friday, September 24, 2010 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Svetlana Poznanovikj – SoM, Georgia Tech
- Organizer
- Prasad Tetali
A set partition of [n] can be represented graphically by drawing n dots on a
horizontal line and connecting the points in a same block by arcs. Crossings
and nestings are then pairs of arcs that cross or nest. Let G be an abelian
group, and \alpha, \beta \in G. In this talk I will look at the distribution
of the statistic s_{\alpha, \beta} = \alpha * cr + \beta * ne on subtrees of
the tree of all set partitions and present a result which says that the
distribution of s_{\alpha, \beta} on a subtree is determined by its
distribution on the first two levels.