Minimax aspects of optimizations in ergodic theory
Dynamical Systems
2024-12-09 v2
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.
Keywords
Cite
@article{arxiv.2411.17615,
title = {Minimax aspects of optimizations in ergodic theory},
author = {Shoya Motonaga},
journal= {arXiv preprint arXiv:2411.17615},
year = {2024}
}