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Equivariant divergence formula for chaotic flows (2312.12171v1)
Published 19 Dec 2023 in math.DS, cs.NA, math.NA, and physics.comp-ph
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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