Author:
BLANCHARD F.,GLASNER E.,HOST B.
Abstract
The variational
principle states that the topological entropy of a topological dynamical system
is equal to the sup of the entropies of invariant measures. It is proved that
for any finite open cover there is an invariant measure such that the
topological entropy of this cover is less than or equal to the entropies
of all finer partitions. One consequence of this
result is that for any dynamical system with positive topological entropy there
exists an invariant measure whose set of entropy pairs is equal to the set of
topological entropy pairs.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
62 articles.
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