2 papers
cs.DM2012
The Encoding of Natural Numbers as Nested Parentheses Strings with Associated Probability Distributions
R. D. Ogden
We provide an efficient encoding of the natural numbers {0,1,2,3,...} as strings of nested parentheses {(),(()),(()()),((())),...}, or considered inversely, an efficient enumeratio…
cs.IT2005
Introduction to Quantum Message Space
R. D. Ogden
This paper develops the quantum analog of the message ensemble of classical information theory as developed by Shannon and Khinchin. The principal mathematical tool is harmonic ana…