We prove the equivariant divergence formula for the axiom A flow attractors, which is a recursive formula for perturbation of transfer operators of physical measures along center-unstable manifolds. Hence the linear response acquires an `ergodic theorem', which means that it can be sampled by recursively computing only $2u$ many vectors on one orbit, where $u$ is the unstable dimension.

翻译：我们证明了公理A流吸引子的等变散度公式，该公式是沿中心不稳定流形对物理测度传递算子进行扰动的递归公式。由此，线性响应获得了“遍历定理”，这意味着它可以通过在一条轨道上递归计算仅$2u$个向量来采样，其中$u$是不稳定维数。