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math.DS2025
Typical Uniqueness in Ergodic Optimization
Oliver Jenkinson, Xiaoran Li, Yuexin Liao +1
For ergodic optimization on any topological dynamical system, with real-valued potential function belonging to any separable Banach space of continuous functions, we show t…
math.DS2025
Ergodic Optimization for Open Expanding Multi-valued Topological Dynamical Systems
Oliver Jenkinson, Xiaoran Li, Yuexin Liao +1
We study the optimization of ergodic averages for multi-valued dynamical systems, i.e. where points may have multiple different forward orbits. Under upper semi-continuity assumpti…