Information Theory for Complex Systems

This book introduces a comprehensive framework tailored for dissecting complex systems across diverse disciplines. What defines a complex system? How can we harness information to quantify its order, structure, and intricacy? Delving into phenomena from the intricate processes in physical systems to the dynamic behaviours in cellular automata and pattern formation, readers will uncover the profound interplay between physics and information theory. This intricate relationship provides fresh insight into physical phenomena, reimagining them through the lens of information. Notably, the book demystifies how seemingly opposing forcesrising order and increasing disordercoexist, ultimately shedding light on the second law of thermodynamics as an outcome of deterministic, reversible dynamics beneath the surface. Geared towards graduate students, this book presumes an undergraduate foundation in mathematics and physics, ensuring a deep, engaging exploration for its readers.

Offers a unique blend of information theory, dynamical systems, and physics

Provides an in-depth exploration of information theory as applied to complex systems

Aids in the understanding of various phenomena, such as the pattern formation in self-organizing systems

Contenu
Introduction.- Information theory.- Information theory for lattice systems.- Cellular automata.- Physics and information theory.- Geometric information theory.- Pattern formation in chemical systems.- Chaos and information.- Appendix.- References.