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Complex Systems Summer School 2011 Modules

Organized by Jim Crutchfield


  • T. Cover and J.Thomas, Elements of Information Theory, Wiley, Second Edition (2006) Chapters 1 - 7.
  • M. Li and P.M.B.Vitanyi, An Introduction to Kolmogorov Complexity and its Applications, Springer, New York (1993).
  • J. P. Crutchfield and D. P. Feldman, “Regularities Unseen, Randomness Observed: Levels of Entropy Convergence”,CHAOS 13:1 (2003) 25-54.

Lecture Notes


The Calculi of Emergence

Pattern Discovery and Computational Mechanics

Many Roads to Synchrony: Natural Time Scales and Their Algorithms

[h Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation]

Information Accessibility and Cryptic Processes

Prediction, Retrodiction, and The Amount of Information Stored in the Present

The Organization of Intrinsic Computation: Complexity-Entropy Diagrams and the Diversity of Natural Information Processing

Anatomy of a Bit


CMPy Notebook