On the absence of invariant measures with locally maximal entropy for a class of Z(d) shifts of finite type

Authors
Robinson, EA Sahin, AA
Citation
Ea. Robinson et Aa. Sahin, On the absence of invariant measures with locally maximal entropy for a class of Z(d) shifts of finite type, P AM MATH S, 127(11), 1999, pp. 3309-3318
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
11
Year of publication
1999
Pages
3309 - 3318
Database
ISI
SICI code
0002-9939(199911)127:11<3309:OTAOIM>2.0.ZU;2-#
Abstract
We prove that for a class of Z(d) shifts of finite type, d >1, any invarian t measure which is not a measure of maximal entropy can be perturbed a smal l amount in the weak* topology to an invariant measure of higher entropy. N amely, there are no invariant measures which are strictly local maxima for the entropy function.