To be held online at:
https://videoconf-colibri.zoom.us/j/91599759679No password needed for this session.
John Baez
16/06/2022, 18:00 — 19:00 Europe/Lisbon Unusual schedule — Online
John Baez, U.C. Riverside
Shannon Entropy from Category Theory
Shannon entropy is a powerful concept. But what properties single out Shannon entropy as special? Instead of focusing on the entropy of a probability measure on a finite set, it can help to focus on the "information loss", or change in entropy, associated with a measure-preserving function. Shannon entropy then gives the only concept of information loss that is functorial, convex-linear and continuous.
This is joint work with Tom Leinster and Tobias Fritz.
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