Two Open Inequalties Involving (Differences of) Averages

Series: 
Research Horizons Seminar
Tuesday, January 25, 2011 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Mathematics - Georgia Institute of Technology

Hosts: Amey Kaloti and Ricardo Restrepo

I will state two different inequalities which are poorly understood, even utterly mysterious. They are stated purely in terms of conditional expectations over dyadic intervals. Motivations and connections carry one into the area of Furstenberg's multilinear ergodic averages.