论文标题
沿阵行优化的普遍唯一性
Prevalent uniqueness in ergodic optimisation
论文作者
论文摘要
Ergodic优化的基本结果之一断言，对于紧凑型公制空间上的任何动态系统，对于$ x $连续实现功能的任何BANACH空间，在$ C（x）$中都存在一个残留的功能，该功能是最大程度地唯一的。我们通过表明此残差集很普遍，从而回答了J. Bochi和Y. Zhang的问题，从而扩展了这一结果。
One of the fundamental results of ergodic optimisation asserts that for any dynamical system on a compact metric space $X$ and for any Banach space of continuous real-valued functions on $X$ which embeds densely in $C(X)$ there exists a residual set of functions in that Banach space for which the maximising measure is unique. We extend this result by showing that this residual set is additionally prevalent, answering a question of J. Bochi and Y. Zhang.
