T-entropy and Variational principle for the spectral radius of weighted shift operators

Autor:	Bakhtin, V. I.
Rok vydání:	2008
Předmět:	Mathematics - Dynamical Systems Mathematics - Functional Analysis 37A35 47B37
Zdroj:	Ergod. Th. & Dynam. Sys. (2010) V. 30. P. 1331--1342
Druh dokumentu:	Working Paper
DOI:	10.1017/S0143385709000716
Popis:	In this paper we introduce a new functional invariant of discrete time dynamical systems -- the so-called t-entropy. The main result is that this t-entropy is the Legendre dual functional to the logarithm of the spectral radius of the weighted shift operator on $L^1(X,m)$ generated by the dynamical system. This result is called the Variational principle and is similar to the classical variational principle for the topological pressure. Comment: 12 pages, v.2: editorial corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0809.3106 Zobrazit plný text záznamu View this record from Arxiv