Entropy of probability bundles (Wai Yan Pong, Cal State Dominguez Hills)

This will be a sequel of my last ANTC talk on bundles of probability schemes. We introduce entropy for fiber bundles of probability schemes and higher-order entropy for hypercubes of bundles. This framework yields categorical proofs of several fundamental results about Shannon entropy and reveals correspondences between classical concepts in information theory and categorical concepts in the bundle category.