论文标题
对通用连续函数的受限的厄贡优化
Constrained Ergodic optimization for generic continuous functions
论文作者
论文摘要
Ergodic优化的基本结果之一断言，对于具有规格属性的紧凑型公制空间上的任何动态系统，对于通用连续函数$ f $，每个不变概率度量$ f $ $ f $，最大化$ f $的空间平均值必须具有零熵。我们在限制性的千古优化的背景下建立了类似的结果，这是由Garibaldi和Lopes（2007）引入的。
One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous function $f$ every invariant probability measure that maximizes the space average of $f$ must have zero entropy. We establish the analogical result in the context of constraint ergodic optimization, which is introduced by Garibaldi and Lopes (2007).
