We consider the style number, independence number and entropy for a frame bundle dynamical system. The base system of which is a countable discrete amenable group action on a compact metric space. We obtain the existence of cover measures, an ergodic theorem about mean linear independence and the style number, and a variational principle for style numbers and independence numbers. We also study the relationship between the entropy of base systems and that of their bundle systems.
Juan Pan
,
Yunhua Zhou
. SOME RESULTS ON BUNDLE SYSTEMS FOR A COUNTABLE DISCRETE AMENABLE GROUP ACTION*[J]. Acta mathematica scientia, Series B, 2023
, 43(3)
: 1382
-1402
.
DOI: 10.1007/s10473-023-0322-1
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