Pathway XXXII

hTopological dynamics and entropy

How many orbit-segments of length n, up to a scale ε? Entropy is the exponential growth rate.

1. 01EntropyA mixing map forgets where it started. Entropy counts how fast distinctions proliferate.4 min
2. 02ItinerariesA partition names the letters of an orbit. Entropy is how fast the language of itineraries grows.4 min