Concentration of measure and convexity

Department: 
MATH
Course Number: 
8803-LIV
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Not Regularly Scheduled
 

 

 

Topic Outline: 

 It will cover basic isoperimetric-type problems and Brunn-Minkowski theory, classical concentration of measure on the sphere and in the Gauss space, the theory of log-concave measures and the related problems, modern convexity. Depending on the students’ interests I may go into various directions, with applications to random matrices or data analysis.