3 papers
math.DS2026
Explicit formulae and topological descriptions of action-minimizing sets of a full shift with an uncountable alphabet
Yuika Kajihara, Shoya Motonaga, Mao Shinoda
We completely solve ergodic optimization of a full shift with an uncountable alphabet , which is one of the most well-known examples of infinite dimensional dynamical system…
math.DS2025
The Aubry set for the XY model and typicality of periodic optimization for 2-locally constant potentials
Yuika Kajihara, Shoya Motonaga, Mao Shinoda
We consider the Aubry set for the XY model, symbolic dynamics with the uncountable symbol , and study its action-optimizing properties. Moreover,…
math.DS2024
Minimax aspects of optimizations in ergodic theory
Shoya Motonaga
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…