Negative correlation inequalities and log-concavity
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Date: 02-24-2009
Start Time:
5:30pm
End Time: 6:30pm
Speaker: Mike Neiman, Rutgers University
Location: 507 Math
ABSTRACT
Correlation inequalities are statements about how events in a probability space positively or negatively reinforce each other. After briefly discussing the better-understood theory of positive correlation, I will talk about some negative correlation inequalities and their relationship to celebrated conjectures of J. Mason about log-concavity properties of certain sequences arising from combinatorial objects. Along the way, I'll mention several interesting open problems.