arXiv:2003.08762 Abstract | arXiv Analytics

arXiv:2003.08762 [math.DS]Abstract References Reviews Resources

Prevalent uniqueness in ergodic optimisation

Published 2020-03-19Version 1

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.

Categories: math.DS

Keywords: prevalent uniqueness, residual set, banach space, ergodic optimisation asserts, compact metric space

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