2 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,…