We study how physical measures vary with the underlying dynamics in the open class of $C^r$, $r>1$, strong partially hyperbolic diffeomorphisms for which the central Lyapunov exponents of every Gibbs u-state is positive. If transitive, such a diffeomorphism has a unique physical measure that persists and varies continuously with the dynamics.

A main ingredient in the proof is a new Pliss-like Lemma which, under the right circumstances, yields frequency of hyperbolic times close to one. Another novelty is the introduction of a new characterization of Gibbs cu-states. Both of these may be of independent interest.

The non-transitive case is also treated: here the number of physical measures varies upper semi-continuously with the diffeomorphism, and physical measures vary continuously whenever possible.

我们研究了公开课中物理指标如何随基础动态变化。 $C^{\mathrm{[R}}$， $\mathrm{[R}>\mathrm{1个}$，部分双曲型强同构强，每个Gibbs u状态的中心Lyapunov指数为正。如果是传递性的，则这种亚同态具有独特的物理量度，该量度持续存在并随着动力学而连续变化。

证明中的主要成分是新的类似Pliss的引理，在正确的情况下，其产生的双曲线次数接近于1。另一个新颖之处是引入了Gibbs cu- states的新特性。这两个都可能是独立利益。

非传递性的情况也得到处理：这里物理度量的数量随微分同态而半连续地变化，并且物理度量尽可能地连续变化。