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arXiv · 2312.12171

Equivariant divergence formula for chaotic flows

Angxiu Ni·Yao Tong
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Abstract

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.

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Angxiu Ni, Yao Tong. 2023-12-19. Equivariant divergence formula for chaotic flows. https://arxiv.org/abs/2312.12171

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