dc.creator | V'yugin, Vladimir | |
dc.creator | Maslov, Victor | |
dc.date | 2007-08-01 | |
dc.date.accessioned | 2019-05-03T12:36:46Z | |
dc.date.available | 2019-05-03T12:36:46Z | |
dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1590 | |
dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/84318 | |
dc.description | We apply the algorithmic complexity theory to statistical mechanics; in particular, we consider the maximum entropy principle and the entropy concentration theorem for non-ordered data in a non-probabilistic setting. The main goal of this paper is to deduce asymptotic relations for the frequencies of energy levels in a non-ordered collection ωN = [ω1, ..., ωN] from the assumption of maximality of the Kolmogorov complexity K(ωN) given a constraint , where E is a number and f is a numerical function; f(ωi) is an energy level. We also consider a combinatorial model of the securities market and give some applications of the entropy concentration theorem to finance. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1590/1443 | |
dc.source | CUBO, A Mathematical Journal; Vol. 9 Núm. 2 (2007): CUBO, A Mathematical Journal; 15-36 | es-ES |
dc.source | CUBO, A Mathematical Journal; Vol 9 No 2 (2007): CUBO, A Mathematical Journal; 15-36 | en-US |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.title | Algorithmic complexity and statistical mechanics | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |