Zero Temperature Limits of Gibbs Equilibrium States for Countable Markov Shifts |
| |
Authors: | Tom Kempton |
| |
Institution: | 1.Mathematics Department,University of Warwick,Coventry,UK |
| |
Abstract: | We prove that, given a uniformly locally constant potential f on a countable state Markov shift and suitable conditions which guarantee the existence of the equilibrium states μ
tf
for all t, the measures μ
tf
converge in the weak star topology as t tends to infinity. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|