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- W2107388628 abstract "Abstract Ergodic optimization is the process of finding invariant probability measures that maximize the integral of a given function. It has been conjectured that ‘most’ functions are optimized by measures supported on a periodic orbit, and it has been proved in several separable spaces that an open and dense subset of functions is optimized by measures supported on a periodic orbit. All known positive results have been for separable spaces. We give in this paper the first positive result for a non-separable space, the space of super-continuous functions on the full shift, where the set of functions optimized by periodic orbit measures contains an open dense subset." @default.
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- W2107388628 date "2011-10-14" @default.
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- W2107388628 title "Ergodic optimization of super-continuous functions on shift spaces" @default.
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- W2107388628 doi "https://doi.org/10.1017/s0143385711000629" @default.
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