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arXiv · 2411.17615

Minimax aspects of optimizations in ergodic theory

Shoya Motonaga
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Abstract

We study optimization problems in ergodic theory from the view point of minimax problems. We give minimax characterizations of maximum ergodic averages involving time averages. Our approach works for the abstract variational principle of generalized pressure functions which is proved by Bi\'{s} et al. (2022). We also describe the relationship between our minimax results and the Fenchel-Rockafellar duality.

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Shoya Motonaga. 2024-11-26. Minimax aspects of optimizations in ergodic theory. https://arxiv.org/abs/2411.17615

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