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Updated: Aug 21, 2026

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
Published on: November 18, 2019
Information flow through a chaotic channel: prediction and postdiction at finite resolution
Richard Metzler1, Yaneer Bar-Yam, Mehran Kardar
1New England Complex Systems Institute, 24 Mt. Auburn Street, Cambridge, Massachusetts 02138, USA.
Abstract:
We reconsider the persistence of information under the dynamics of the logistic map in order to discuss communication through a nonlinear channel where the sender can set the initial state of the system with finite resolution, and the recipient measures it with the same accuracy. We separate out the contributions of global phase-space shrinkage and local-phase space contraction and expansion to the uncertainty in predicting and postdicting the state of the system. We determine how the amplification parameter, the time lag, and the resolution influence the possibility for communication. A novel "clockwork" representation for real numbers is introduced that allows for a visualization of the flow of information between scales.
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