Prevalent uniqueness in ergodic optimisation
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Publisher
Journal
Proceedings of the American Mathematical Society
ISSN
0002-9939
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Show full item recordAbstract
One of the fundamental results of ergodic optimisation asserts that
for any dynamical system on a compact metric space X and for any Banach
space of continuous real-valued functions on X which embeds densely in C(X)
there exists a residual set of functions in that Banach space for which the
maximising measure is unique. We extend this result by showing that this
residual set is additionally prevalent, answering a question of J. Bochi and Y.
Zhang.
Authors
Morris, IDCollections
- Mathematics [1473]