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arXiv · 2211.11932

Constrained Ergodic optimization for generic continuous functions

Shoya Motonaga·Mao Shinoda
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Abstract

One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous function $f$ every invariant probability measure that maximizes the space average of $f$ must have zero entropy. We establish the analogical result in the context of constraint ergodic optimization, which is introduced by Garibaldi and Lopes (2007).

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Shoya Motonaga, Mao Shinoda. 2022-11-22. Constrained Ergodic optimization for generic continuous functions. https://arxiv.org/abs/2211.11932

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