Equivalent characterizations of hypercontractivity parameters using information measures

Equivalent characterizations of hypercontractivity parameters using information measures

Probability Seminar
Feb 11, 2015, 03:10 PM - 04:00 PM | 1011 Evans Hall | Happening As Scheduled
Chandra Nair, Department of Information Engineering, the Chinese University of Hong Kong
In the first part of the talk, I will present (and establish) an equivalent characterization of hypercontractivity parameters using information measures. In the second half of the talk I will outline an alternative proof of the Gaussian hypercontractivity region using the new characterization. A proposition in this proof is established jointly with Venkat Anantharam. This work is an...