| Issue |
EPL
Volume 135, Number 2, July 2021
|
|
|---|---|---|
| Article Number | 28002 | |
| Number of page(s) | 6 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/135/28002 | |
| Published online | 29 September 2021 | |
Fluctuation-response theorem for Kullback-Leibler divergences to quantify causation
1 cfaed, Technische Universität Dresden - 01069 Dresden, Germany
2 Cluster of Excellence “Physics of Life” - 01307 Dresden, Germany
3 Dipartimento di Fisica, Sapienza Università di Roma - 00185 Rome, Italy
4 INFN, Sezione di Roma 1 - 00185 Rome, Italy
(a) andrea.auconi@gmail.com (corresponding author)
Received: 22 February 2021
Accepted: 18 June 2021
We define a new measure of causation from a fluctuation-response theorem for Kullback-Leibler divergences, based on the information-theoretic cost of perturbations. This information response has both the invariance properties required for an information-theoretic measure and the physical interpretation of a propagation of perturbations. In linear systems, the information response reduces to the transfer entropy, providing a connection between Fisher and mutual information.
© 2021 EPLA
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