A statistical mechanical interpretation of algorithmic information theory

Simple item page
dc.creatorTadaki, Kohtaro
dc.date2008-01-28
dc.date.accessioned2026-07-07T13:01:26Z
dc.date.available2026-07-07T13:01:26Z
dc.descriptionWe 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.
dc.description31 pages, LaTeX2e, no figures
dc.identifierhttps://arxiv.org/abs/0801.4194
dc.identifierhttp://arxiv.org/abs/0801.4194
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226149
dc.subjectInformation Theory
dc.subjectComputational Complexity
dc.subjectProbability
dc.subjectQuantum Physics
dc.titleA statistical mechanical interpretation of algorithmic information theory
dc.typetext

Files

Collections

arXiv