A statistical mechanical interpretation of algorithmic information theory

Details A statistical mechanical interpretation of algorithmic information theory A statistical mechanical interpretation of algorithmic information theory

2008-01-28

arxiv.org/abs/0801.4194v1

Computer Science

Information Theory

31 pages, LaTeX2e, no figures

Scientific paper

We develop a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities, such as free energy, energy, statistical mechanical entropy, and specific heat, into algorithmic information theory. We investigate the properties of these quantities by means of program-size complexity from the point of view of algorithmic randomness. It is then discovered that, in the interpretation, the temperature plays a role as the compression rate of the values of all these thermodynamic quantities, which include the temperature itself. Reflecting this self-referential nature of the compression rate of the temperature, we obtain fixed point theorems on compression rate.

Affiliated with

Also associated with

No associations

Rating

A statistical mechanical interpretation of algorithmic information theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A statistical mechanical interpretation of algorithmic information theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A statistical mechanical interpretation of algorithmic information theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-156591