A Level Of Martin-lof Randomness

This book is about compression ratios greater than what has been known for random sequential strings in binary and larger radix-based systems. It discusses the application of ternary-, quaternary-, and quinary-based systems in statistical communication theory, computing, and physics.

This work addresses the notion of compression ratios greater than what has been known for random sequential strings in binary and larger radix-based systems as applied to those traditionally found in Kolmogorov complexity. A culmination of the author's decade-long research that began with his discovery of a compressible random sequential string, the book maintains a theoretical-statistical level of introduction suitable for mathematical physicists. It discusses the application of ternary-, quaternary-, and quinary-based systems in statistical communication theory, computing, and physics.