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Paper · arXiv

Conditional Entropy of Heat Diffusion on Temporal Networks

Diffusion-based information-theoretic approaches provide new theoretical and practical tools to study complex networks. So far, they have not been generalized to temporal networks. In this work, we show that common entropic measures based on modeling diffusion on graphs, such as the entropy rate and the spectral entropy, do not generalize straightforwardly to temporal networks due to the process's non-stationarity and temporal asymmetries. Instead, we propose the conditional entropy of heat diffusion as an entropic measure for continuous-time temporal networks and study its properties. We show that this quantity is monotone in time, yielding an information-theoretic analog of the second l...

AuthorsSamuel Koovely, Alexandre Bovet
Primary categorycs.SI
Published15 May 2026
Last updated at source23 July 2026
cs.SIcond-mat.stat-mechcs.ITcs.LGphysics.data-an
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