A category-theoretic proof of the ergodic decomposition theorem
The ergodic decomposition theorem is a cornerstone result of dynamical systems and ergodic theory. It states that every invariant measure on a dynamical system is a mixture of ergodic ones. Here we formulate and prove the theorem in terms of string diagrams, using the formalism of Markov categories....
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Cambridge University Press
2023
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