Date:
Tuesday, February 26, 2019, 3:00pm
Location:
Jefferson 356
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.