Accession Number:

ADP005300

Title:

On Randomness, Determinism and Computability.

Descriptive Note:

Technical rept.,

Corporate Author:

GEORGE MASON UNIV FAIRFAX VA

Personal Author(s):

Report Date:

1987-03-16

Pagination or Media Count:

21.0

Abstract:

This paper discusses the meaning and relationship of randomness and determinism. A fundamental development of chaotic dynamical systems is given with examples. Such systems are seen to exhibit randomness in the usual sense of unpredictability. The formal definition of randomness in terms of algorithmic incompressibility is also discussed. The role of recursion in computability and randomness is also discussed. Keywords Random Chaos Chaotic dynamics Computability Recursive functions Unsolvability Degrees of Randomness Random number generators. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE