Seminar, Fei Wei (Harvard), Entropy of arithmetic functions and arithmetic compactifications.

Date: 

Tuesday, February 26, 2019, 3:00pm

Location: 

Jefferson 356

Fei Wei picture

Title. Entropy of arithmetic functions and arithmetic compactifications

Abstract. A new notion of entropy of arithmetic functions is introduced. It is shown that all zero entropy arithmetic functions form a C*-algebra. This entropy also behaves nicely with respect to limits similar to dynamical entropy of Kolmogorov and has many properties similar to Shannon’s entropy.