Analysis/Probability Learning Seminar Date:  Thursday, February 14, 2013 Location:  4096 East Hall (4:10 PM to 6:00 PM) Title:  The scaling of the Hardy-Littlewood maximal inequality with dimension Abstract:   The Hardy-Littlewood maximal function is an important tool in real and harmonic analysis. We will try to understand how the volume of the points where the maximal function is large scales with dimension. A long-standing question has been to determine whether there is a dimension-independent upper bound. In a recent breakthrough, the scaling was completely characterized for the maximal function associated to the cube. One half of the breakthrough (which we will not discuss now) is a two-month-old paper of Bourgain. We will present the other half, following the argument of Aubrun. Although the question comes from analysis, the construction will use probabilistic ideas and Brownian motion. Speaker:  Elena Yudovina Institution:  University of Michigan Event Organizer:        Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.