Volume 135, Number 2, July 2021
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.